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CN112793677A - A portal virtual rail train and its steering tracking control method - Google Patents

A portal virtual rail train and its steering tracking control method Download PDF

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CN112793677A
CN112793677A CN202110055188.XA CN202110055188A CN112793677A CN 112793677 A CN112793677 A CN 112793677A CN 202110055188 A CN202110055188 A CN 202110055188A CN 112793677 A CN112793677 A CN 112793677A
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suspension
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train
virtual rail
rail train
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CN112793677B (en
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冷涵
任利惠
季元进
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Tongji University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B62LAND VEHICLES FOR TRAVELLING OTHERWISE THAN ON RAILS
    • B62DMOTOR VEHICLES; TRAILERS
    • B62D53/00Tractor-trailer combinations; Road trains
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B62LAND VEHICLES FOR TRAVELLING OTHERWISE THAN ON RAILS
    • B62DMOTOR VEHICLES; TRAILERS
    • B62D12/00Steering specially adapted for vehicles operating in tandem or having pivotally connected frames
    • B62D12/02Steering specially adapted for vehicles operating in tandem or having pivotally connected frames for vehicles operating in tandem
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B62LAND VEHICLES FOR TRAVELLING OTHERWISE THAN ON RAILS
    • B62DMOTOR VEHICLES; TRAILERS
    • B62D7/00Steering linkage; Stub axles or their mountings
    • B62D7/06Steering linkage; Stub axles or their mountings for individually-pivoted wheels, e.g. on king-pins
    • B62D7/14Steering linkage; Stub axles or their mountings for individually-pivoted wheels, e.g. on king-pins the pivotal axes being situated in more than one plane transverse to the longitudinal centre line of the vehicle, e.g. all-wheel steering
    • B62D7/15Steering linkage; Stub axles or their mountings for individually-pivoted wheels, e.g. on king-pins the pivotal axes being situated in more than one plane transverse to the longitudinal centre line of the vehicle, e.g. all-wheel steering characterised by means varying the ratio between the steering angles of the steered wheels
    • B62D7/159Steering linkage; Stub axles or their mountings for individually-pivoted wheels, e.g. on king-pins the pivotal axes being situated in more than one plane transverse to the longitudinal centre line of the vehicle, e.g. all-wheel steering characterised by means varying the ratio between the steering angles of the steered wheels characterised by computing methods or stabilisation processes or systems, e.g. responding to yaw rate, lateral wind, load, road condition

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Abstract

The invention relates to a gate type virtual rail train and a steering tracking control method thereof. The steering tracking control method comprises the following steps: the method comprises the steps of obtaining the movement speed of each wheel of a virtual rail train, wheel rotation angle data of each suspension of the train, each hinge angle data, reference path curve radius data and the position of each suspension on a line; numbering each suspension in sequence according to the sequence from the train head to the train tail; judging the current running states of the train head and the train body; the wheel rotation angle of the corresponding suspension is acquired. Compared with the prior art, the method has the advantages of high tracking precision, quick response, strong expandability, high matching performance of tracking control and vehicle architecture and the like.

Description

一种门式虚拟轨道列车及其转向循迹控制方法A portal virtual rail train and its steering tracking control method

技术领域technical field

本发明涉及虚拟轨道列车技术领域,尤其是涉及一种门式虚拟轨道列车及其转向循迹控制方法。The invention relates to the technical field of virtual rail trains, in particular to a portal virtual rail train and a steering tracking control method thereof.

背景技术Background technique

虚拟轨道交通系统是一种采用城市轨道交通运行管理模式的道路交通系统。所谓的“虚拟轨道”有别于传统铁路运输系统中所使用的物理轨道,而是在传统城市道路上增设一系列地面感应装置或信标而形成的一种新型“数字轨道”。虚拟轨道列车采用非接触式导向技术和橡胶车轮走行部,利用环境感知技术对虚拟轨道信息和列车运行环境进行识别和感知,利用信息融合技术实现车辆高精度定位,通过循迹控制技术实现列车自导向。因此,虚拟轨道列车兼具传统有轨电车运量大,运行平稳性高以及公共汽车和BRT适应性强、道路建设成本较低的优点。The virtual rail transit system is a road traffic system that adopts the urban rail transit operation management mode. The so-called "virtual track" is different from the physical track used in the traditional railway transportation system, but a new type of "digital track" formed by adding a series of ground sensing devices or beacons on traditional urban roads. The virtual rail train adopts non-contact guidance technology and rubber wheel running parts, uses environmental perception technology to identify and perceive virtual track information and train operating environment, uses information fusion technology to achieve high-precision vehicle positioning, and uses tracking control technology to achieve train self-driving. guide. Therefore, virtual rail trains have the advantages of large volume of traditional trams, high running stability, strong adaptability of buses and BRTs, and low road construction costs.

考虑到虚拟轨道列车相比于传统路面公共交通车辆的编组较长的特点,实现车辆各个车体模块有效地跟随道路成为其核心问题。因此,多轮转向控制技术是虚拟轨道列车循迹控制过程中的关键技术之一。目前,针对各种架构的虚拟轨道列车的路径跟随控制已有一定的研究,如中国专利CN110244731A中公开了一种三节编组虚拟轨道列车主动循迹控制方法,具体为:(1)虚拟轨道列车主控制器通过头车和尾车摄像头读取虚拟轨道信息,并判断车辆是否脱离轨迹;(2)根据车辆相对于轨道的偏移量,计算为使车辆循迹运行所需的头车和尾车各轴车轮转向角;(3)由车辆尺寸参数和头车及尾车的各轴转向角,确定头车和尾车的转弯半径和速度瞬心,并计算得到中间车的速度瞬心;(4)由车辆尺寸参数和头车和尾车的转弯半径以及中间车的速度瞬心,计算得到中间车各轴车轮转向角;(5)虚拟轨道列车循迹控制器根据各轴车轮目标转向角控制各转向电机,虽然实现车辆循迹运行,但在使用上述方法在转弯处进行循迹时的循迹精度不高,循迹算法运行时间较长,反应较为迟缓。Considering the fact that virtual rail trains have longer groupings than traditional road public transport vehicles, it is the core problem to realize that each vehicle body module of the vehicle effectively follows the road. Therefore, multi-wheel steering control technology is one of the key technologies in the tracking control process of virtual rail trains. At present, there has been some research on the path following control of virtual rail trains with various architectures. For example, Chinese patent CN110244731A discloses a three-section marshalling virtual rail train active tracking control method, which is specifically: (1) virtual rail train master The controller reads the virtual track information through the cameras of the leading car and the trailing car, and judges whether the vehicle deviates from the track; (2) According to the offset of the vehicle relative to the track, calculate the leading and trailing cars required to make the vehicle track. Wheel steering angle of each axle; (3) According to the vehicle size parameters and the steering angles of each axle of the leading car and the trailing car, determine the turning radius and speed instant center of the leading car and the trailing car, and calculate the speed instant center of the middle car; ( 4) Calculate the wheel steering angle of each axle of the intermediate car from the vehicle size parameters, the turning radius of the leading and trailing cars, and the instantaneous center of speed of the intermediate car; (5) The virtual rail train tracking controller is based on the target steering angle of the wheels of each axle. By controlling each steering motor, although the vehicle tracking operation is realized, the tracking accuracy is not high when the above method is used for tracking at the corner, the tracking algorithm runs for a long time, and the response is relatively slow.

发明内容SUMMARY OF THE INVENTION

本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种循迹精度高、反应迅速、可扩展性强、循迹控制与车辆架构匹配性高的门式虚拟轨道列车及其转向循迹控制方法。The purpose of the present invention is to provide a portal virtual rail train and its steering cycle with high tracking accuracy, rapid response, strong scalability, and high matching between tracking control and vehicle structure in order to overcome the above-mentioned defects in the prior art. trace control method.

本发明的目的可以通过以下技术方案来实现:The object of the present invention can be realized through the following technical solutions:

一种门式虚拟轨道列车,所述的门式虚拟轨道列车包括端部车体模块ECM、中间车体模块ICM、门式车间连接模块GCM、动力悬架模块PSM、非动力悬架模块NPSM、铰接结构和锁闭机构;A portal virtual rail train, the portal virtual rail train comprises an end car body module ECM, an intermediate car body module ICM, a portal workshop connection module GCM, a dynamic suspension module PSM, a non-dynamic suspension module NPSM, Hinged structure and locking mechanism;

所述的端部车体模块ECM通过车体连接模块GCM与中间车体模块ICM相连;The end vehicle body module ECM is connected with the intermediate vehicle body module ICM through the vehicle body connection module GCM;

所述的端部车体模块ECM安装在动力悬架模块PSM上;所述的车间连接模块GCM安装在非动力悬架模块NPSM上;The end body module ECM is installed on the power suspension module PSM; the workshop connection module GCM is installed on the non-power suspension module NPSM;

所述的门式车间连接模块GCM通过二系悬挂安装在非动力悬架模块NPSM上;The portal workshop connection module GCM is installed on the non-power suspension module NPSM through the secondary suspension;

所述的车间连接模块GCM与端部车体模块ECM之间以及车间连接模块GCM与中间车体模块ICM之间均通过铰接结构相连;The workshop connection module GCM and the end vehicle body module ECM and the workshop connection module GCM and the intermediate vehicle body module ICM are connected through a hinge structure;

所述的锁闭机构用于约束车间连接模块GCM与其运动方向前方车体模块之间运动自由度,分别设置在车间连接模块GCM与端部车体模块ECM之间以及车间连接模块GCM与中间车体模块ICM之间。The locking mechanism is used to constrain the freedom of movement between the workshop connection module GCM and the vehicle body module in front of the movement direction, and is respectively arranged between the workshop connection module GCM and the end body module ECM, and between the workshop connection module GCM and the intermediate vehicle. between the body modules ICM.

优选地,所述的端部车体模块ECM和中间车体模块ICM的车轮处均设有轮速传感器;所述的动力悬架模块PSM和非动力悬架模块NPSM上均设有车轮转角角度传感器;所述的铰接结构处设有铰接角度传感器;所述的门式虚拟轨道列车设有用于对车辆进行定位的定位模块。Preferably, wheel speed sensors are provided at the wheels of the end body module ECM and the intermediate body module ICM; the power suspension module PSM and the non-power suspension module NPSM are both provided with wheel angle angles a sensor; the hinged structure is provided with a hinge angle sensor; the portal virtual rail train is provided with a positioning module for positioning the vehicle.

一种用于上述门式虚拟轨道列车的转向循迹控制方法,所述的转向循迹控制方法包括:A steering tracking control method for the above-mentioned portal virtual rail train, the steering tracking control method comprising:

步骤1:获取虚拟轨道列车各个车轮的运动速度、列车各个悬架的车轮转角数据、各个铰接角数据、参考路径曲线半径数据以及各个悬架在线路上的位置;Step 1: Obtain the motion speed of each wheel of the virtual rail train, the wheel angle data of each suspension of the train, the data of each articulation angle, the data of the curve radius of the reference path, and the position of each suspension on the line;

步骤2:按照列车头到列车尾的顺序依次对每个悬架进行编号;Step 2: Number each suspension in sequence from the head of the train to the tail of the train;

步骤3:根据步骤1获取的数据判断当前列车车头和车身的行驶状态,包括车头为由直线进入转弯状态、车头为转弯状态、车身为由直线进入转弯状态、车身为转弯状态、车头为由转弯进入直线状态以及车身为由转弯进入直线状态;Step 3: According to the data obtained in step 1, determine the running state of the current train head and body, including the head turning from a straight line, the head turning, the body turning from a straight line, the body turning, and the head turning Enter the straight state and the vehicle body enters the straight state by turning;

步骤4:根据步骤3获取的列车行驶状态获取对应悬架的车轮转角,完成转向控制。Step 4: Obtain the wheel angle of the corresponding suspension according to the train running state obtained in Step 3, and complete the steering control.

优选地,所述的列车各个车轮的运动速度通过安装在车轮处的轮速传感器获得;Preferably, the motion speed of each wheel of the train is obtained by a wheel speed sensor installed at the wheel;

所述的列车各个悬架的车轮转角数据通过角度传感器测量获得;The wheel angle data of each suspension of the train is obtained by measuring the angle sensor;

所述的各个铰接角数据通过安装在车间铰接出的角度传感器测量获得;The data of each hinge angle is obtained by measuring the hinge angle sensor installed in the workshop;

所述的参考路径曲线半径数据通过头车传感器探测获得或利用线路上的应答器获得;The reference path curve radius data is obtained by detecting the head car sensor or using the transponder on the line;

所述的各个悬架在线路上的位置通过车辆定位模块获得。The position of each suspension on the line is obtained through the vehicle positioning module.

优选地,所述的虚拟轨道列车的车头处于由直线进入转弯状态,即第一悬架开始由直线区段驶入圆曲线区段并且第二悬架仍处于直线区段时,第二悬架轮转角δ2的计算方法为:Preferably, the head of the virtual rail train is in a state of turning from a straight line, that is, when the first suspension starts to drive from the straight section to the circular curve section and the second suspension is still in the straight section, the second suspension The calculation method of the rotation angle δ 2 is:

Figure BDA0002900359010000031
Figure BDA0002900359010000031

其中,L为虚拟轨道列车的列车轴距;R1和R2分别为第一悬架和第二悬架的瞬时运动半径,R1和R2的计算方法为:Among them, L is the wheelbase of the virtual rail train; R 1 and R 2 are the instantaneous motion radii of the first suspension and the second suspension, respectively, and the calculation methods of R 1 and R 2 are:

Figure BDA0002900359010000032
Figure BDA0002900359010000032

其中,

Figure BDA0002900359010000033
为第一悬架在圆曲线区段的运行时间;R为圆曲线半径;δ1为第一悬架的车轮转角;v1为第一悬架的运动速度。in,
Figure BDA0002900359010000033
is the running time of the first suspension in the circular curve section; R is the radius of the circular curve; δ 1 is the wheel angle of the first suspension; v 1 is the movement speed of the first suspension.

优选地,所述的虚拟轨道列车的车头处于转弯状态,即第一悬架与第二悬架同时处于圆曲线区段时;第二悬架车轮转角δ2的计算方法为:Preferably, the head of the virtual rail train is in a turning state, that is, when the first suspension and the second suspension are in the circular curve section at the same time; the calculation method of the wheel angle δ 2 of the second suspension is:

δ2=δ1 δ 21

其中,δ1为第一悬架的车轮转角。Wherein, δ 1 is the wheel angle of the first suspension.

优选地,所述的虚拟轨道列车的车身为由直线进入转弯状态,即第i悬架开始由直线区段驶入圆曲线区段并且第i+1悬架处于直线曲线时,其中i≥2,第i+1悬架的车轮转角δi+1的计算方法为:Preferably, the body of the virtual rail train enters the turning state from a straight line, that is, when the i-th suspension starts to drive from the straight-line section to the circular curve section and the i+1-th suspension is in a straight curve, where i≥2 , the calculation method of the wheel angle δ i+1 of the i+1th suspension is:

Figure BDA0002900359010000041
Figure BDA0002900359010000041

其中,点A为第i悬架的中心点;点B为第i+1悬架的中心点;点C为第i悬架与第i+1悬架的铰接点;点O为相邻两个悬架中心点运动的速度瞬心;Among them, point A is the center point of the i-th suspension; point B is the center point of the i+1-th suspension; point C is the hinge point between the i-th suspension and the i+1-th suspension; point O is the adjacent two The instantaneous center of velocity of the motion of the center point of the suspension;

∠ABC和∠ABO的计算方法为:∠ABC and ∠ABO are calculated as:

Figure BDA0002900359010000042
Figure BDA0002900359010000042

Figure BDA0002900359010000043
Figure BDA0002900359010000043

Figure BDA0002900359010000044
Figure BDA0002900359010000044

其中,Ls为车间连接模块GCM两端铰接点的纵向安装距离,γi-1为相邻两个车体之间的铰接角度;

Figure BDA0002900359010000045
为第i悬架在圆曲线区段的运行时间;vi为第i悬架的运动速度。Among them, L s is the longitudinal installation distance of the hinge points at both ends of the workshop connection module GCM, and γ i-1 is the hinge angle between two adjacent car bodies;
Figure BDA0002900359010000045
is the running time of the i-th suspension in the circular curve section; v i is the movement speed of the i-th suspension.

优选地,所述的虚拟轨道列车的车身处于转弯状态,即第i悬架与第i+1悬架同时处于圆曲线区段内时,其中i≥2,第i+1悬架的车轮转角的计算方法为:Preferably, the body of the virtual rail train is in a turning state, that is, when the i-th suspension and the i+1-th suspension are in the circular curve section at the same time, where i≥2, the wheel angle of the i+1-th suspension is The calculation method is:

Figure BDA0002900359010000046
Figure BDA0002900359010000046

Figure BDA0002900359010000047
Figure BDA0002900359010000047

其中,点A为第i悬架的中心点;点B为第i+1悬架的中心点;点C为第i悬架与第i+1悬架的铰接点;点O为相邻两个悬架中心点运动的速度瞬心。Among them, point A is the center point of the i-th suspension; point B is the center point of the i+1-th suspension; point C is the hinge point between the i-th suspension and the i+1-th suspension; point O is the adjacent two The instantaneous center of velocity of the motion of the center point of the suspension.

优选地,所述的虚拟轨道列车的车头处于由转弯进入直线状态,即第一悬架由圆曲线区段驶入直线区段并且第二悬架仍处于圆曲线区段内时,第二悬架车轮转角δ2的计算方法为:Preferably, the head of the virtual rail train is in a state of turning into a straight line, that is, when the first suspension enters the straight line section from the circular curve section and the second suspension is still in the circular curve section, the second suspension The calculation method of the wheel angle δ 2 of the frame is:

Figure BDA0002900359010000048
Figure BDA0002900359010000048

Figure BDA0002900359010000051
Figure BDA0002900359010000051

其中,

Figure BDA0002900359010000052
为第二悬架在圆曲线区段的运行时间。in,
Figure BDA0002900359010000052
is the running time of the second suspension in the circular curve section.

优选地,所述的虚拟轨道列车的车身处于由转弯进入直线状态,即第i悬架开始由圆曲线区段驶入直线区段,而第i+1悬架仍处于圆曲线区段时,其中i≥2,第i+1悬架的车轮转角δi+1的计算方法为:Preferably, the body of the virtual rail train is in a state of turning into a straight line, that is, when the i th suspension starts to drive from the circular curve section to the straight section, and the i+1 th suspension is still in the circular curve section, Where i≥2, the calculation method of the wheel angle δ i+1 of the i+1th suspension is:

Figure BDA0002900359010000053
Figure BDA0002900359010000053

Figure BDA0002900359010000054
Figure BDA0002900359010000054

其中,

Figure BDA0002900359010000055
Figure BDA0002900359010000056
分别为第i悬架开始驶出圆曲线区段、驶入直线区段时第i+1悬架、第i悬架的车轮转角初始值和相邻车体铰接角的初始值,
Figure BDA0002900359010000057
第i+1悬架在圆曲线区段的运行时间,vi+1为第i+1悬架运动速度。in,
Figure BDA0002900359010000055
and
Figure BDA0002900359010000056
are the initial value of the wheel angle of the i+1th suspension, the ith suspension and the initial value of the hinge angle of the adjacent car body when the ith suspension starts to drive out of the circular curve section and when it enters the straight section, respectively,
Figure BDA0002900359010000057
The running time of the i+1th suspension in the circular curve section, v i+1 is the movement speed of the i+1th suspension.

与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:

一、循迹精度高:本发明中的转向循迹控制方法所需车辆的状态参数较少,并且可以被精确测量,算法可根据车辆自身状态和车辆定位信息调整各个轴桥的车轮转角,从而实现虚拟轨道列车对参考路径的有效跟随,对车辆转弯时的情况进行细分,每种情况对应不同的计算方法,大大提高了车辆转弯时的循迹精度。1. High tracking accuracy: The steering tracking control method of the present invention requires fewer state parameters of the vehicle and can be accurately measured. The algorithm can adjust the wheel angle of each axle and bridge according to the vehicle's own state and vehicle positioning information, thereby The virtual track train can effectively follow the reference path, and the situation when the vehicle turns is subdivided. Each situation corresponds to different calculation methods, which greatly improves the tracking accuracy of the vehicle when turning.

二、算法运行时间较短,反应迅速:本发明中的转向循迹控制方法算法结构较为简单,算法所需的运行时间也较短,使得虚拟轨道列车的反应较为迅速,有效提高了列车的安全性。2. The algorithm has a short running time and rapid response: the steering tracking control method in the present invention has a relatively simple algorithm structure, and the required running time of the algorithm is also short, which makes the response of the virtual rail train relatively fast and effectively improves the safety of the train. sex.

三、可扩展性强:本发明中的转向循迹控制方法可以根据列车不同编组长度进行算法的扩展和减缩,具有较高的可扩展性。3. Strong scalability: the steering tracking control method in the present invention can perform algorithm expansion and reduction according to different train group lengths, and has high scalability.

四、循迹控制与车辆架构匹配性高:本发明中的门式虚拟轨道列车采用模块化编组形式,便于根据需要实现不同形式的编组联挂,车辆各个走行部运动解耦,实现循迹控制与车辆架构的高匹配性。4. High matching between tracking control and vehicle structure: the portal virtual rail train in the present invention adopts a modular marshalling form, which is convenient to realize different forms of marshalling as needed, and the motion of each running part of the vehicle is decoupled to realize tracking control. High compatibility with vehicle architecture.

附图说明Description of drawings

图1为本发明中门式虚拟轨道列车的结构示意图;Fig. 1 is the structural representation of the portal virtual rail train in the present invention;

图2为本发明中门式虚拟轨道列车的简化结构示意图;Fig. 2 is the simplified structure schematic diagram of the portal virtual rail train in the present invention;

图3为本发明实施例中列车车头处于由直线进入转弯状态时的示意图;Fig. 3 is the schematic diagram when the train head is in the state of turning from a straight line in the embodiment of the present invention;

图4为本发明实施例中列车车头处于转弯状态时的示意图;Fig. 4 is the schematic diagram when the train head is in the turning state in the embodiment of the present invention;

图5为本发明实施例中列车车身处于由直线进入转弯状态时的示意图;5 is a schematic diagram of the train body in a state of turning from a straight line in an embodiment of the present invention;

图6为本发明实施例中列车车身处于转弯状态时的示意图;6 is a schematic diagram of the train body in a turning state according to an embodiment of the present invention;

图7为本发明实施例中列车车头处于由转弯进入直线状态时的示意图;FIG. 7 is a schematic diagram of a train head in a straight state from a turn in an embodiment of the present invention;

图8为本发明实施例中列车车身处于由转弯进入直线状态时的示意图;8 is a schematic diagram of the train body in a state of being in a straight line from a turn in an embodiment of the present invention;

图9为本发明实施例中列车几何循迹控制策略示意图。FIG. 9 is a schematic diagram of a train geometric tracking control strategy in an embodiment of the present invention.

图中标号所示:The numbers in the figure show:

1、端部车体模块ECM,2、中间车体模块ICM,3、门式车间连接模块GCM,4、动力悬架模块PSM,5、非动力悬架模块NPSM,6、铰接结构,7、锁闭机构。1. End body module ECM, 2. Intermediate body module ICM, 3. Portal workshop connection module GCM, 4. Dynamic suspension module PSM, 5. Non-dynamic suspension module NPSM, 6. Hinged structure, 7. locking mechanism.

具体实施方式Detailed ways

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明的一部分实施例,而不是全部实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动的前提下所获得的所有其他实施例,都应属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative work shall fall within the protection scope of the present invention.

一种门式虚拟轨道列车,其结构如图1和图2所示,包括端部车体模块ECM1、中间车体模块ICM2、门式车间连接模块GCM3、动力悬架模块PSM4、非动力悬架模块NPSM5、铰接结构6和锁闭机构7,端部车体模块ECM1通过门式车体连接模块GCM3与中间车体模块ICM2相连,端部车体模块ECM1安装在动力悬架模块PSM4上,门式车间连接模块GCM3安装在非动力悬架模块NPSM5上,门式车间连接模块GCM3通过二系悬挂安装在非动力悬架模块NPSM5上,车间连接模块GCM3与端部车体模块ECM1之间以及车间连接模块GCM3与中间车体模块ICM2之间均通过铰接结构6相连,锁闭机构7用于约束车间连接模块GCM3与其运动方向前方车体模块之间运动自由度,分别设置在车间连接模块GCM3与端部车体模块ECM1之间以及车间连接模块GCM3与中间车体模块ICM2之间。A portal virtual rail train, whose structure is shown in Figures 1 and 2, includes an end car body module ECM1, an intermediate car body module ICM2, a portal workshop connection module GCM3, a power suspension module PSM4, and a non-dynamic suspension module. Module NPSM5, hinge structure 6 and locking mechanism 7, the end body module ECM1 is connected to the intermediate body module ICM2 through the door body connection module GCM3, the end body module ECM1 is installed on the power suspension module PSM4, the door The type workshop connection module GCM3 is installed on the non-dynamic suspension module NPSM5, the portal type workshop connection module GCM3 is installed on the non-dynamic suspension module NPSM5 through the secondary suspension, and between the workshop connection module GCM3 and the end body module ECM1 and the workshop The connection module GCM3 and the intermediate vehicle body module ICM2 are connected by the hinge structure 6, and the locking mechanism 7 is used to constrain the freedom of movement between the workshop connection module GCM3 and the vehicle body module in front of the movement direction, and is respectively arranged between the workshop connection module GCM3 and the vehicle body module in front of the movement direction. Between the end body modules ECM1 and between the workshop connection module GCM3 and the intermediate body module ICM2.

动力悬架模块PSM4和非动力悬架模块NPSM5上均设有车轮转角角度传感器和轮速传感器,铰接结构6处设有铰接角度传感器,门式虚拟轨道列车设有用于对车辆进行定位的定位模块。Both the dynamic suspension module PSM4 and the non-dynamic suspension module NPSM5 are provided with wheel angle angle sensors and wheel speed sensors, the hinged structure 6 is provided with hinged angle sensors, and the portal virtual rail train is provided with a positioning module for vehicle positioning .

本实施例还涉及一种用于上述门式虚拟轨道列车的转向循迹控制方法,包括:The present embodiment also relates to a steering tracking control method for the above-mentioned portal virtual rail train, including:

步骤1:获取虚拟轨道列车各个车轮的运动速度、列车各个悬架的车轮转角数据、各个铰接角数据、参考路径曲线半径数据以及各个悬架在线路上的位置;Step 1: Obtain the motion speed of each wheel of the virtual rail train, the wheel angle data of each suspension of the train, the data of each articulation angle, the data of the curve radius of the reference path, and the position of each suspension on the line;

各个车轮的运动速度通过安装在车轮处的轮速传感器获得;The movement speed of each wheel is obtained by the wheel speed sensor installed at the wheel;

各个悬架的车轮转角数据通过角度传感器测量获得;The wheel angle data of each suspension is obtained by measuring the angle sensor;

各个铰接角数据通过安装在车间铰接出的角度传感器测量获得;The data of each hinge angle is obtained by measuring the hinge angle sensor installed in the workshop;

参考路径曲线半径数据通过头车传感器探测获得或利用线路上的应答器获得;The reference path curve radius data is obtained by detecting the head car sensor or using the transponder on the line;

各个悬架在线路上的位置通过车辆定位模块获得;The position of each suspension on the line is obtained through the vehicle positioning module;

步骤2:按照列车头到列车尾的顺序依次对每个悬架进行编号;Step 2: Number each suspension in sequence from the head of the train to the tail of the train;

步骤3:根据步骤1获取的数据判断当前列车车头和车身的行驶状态,包括车头为由直线进入转弯状态、车头为转弯状态、车身为由直线进入转弯状态、车身为转弯状态、车头为由转弯进入直线状态以及车身为由转弯进入直线状态;Step 3: According to the data obtained in step 1, determine the running state of the current train head and body, including the head turning from a straight line, the head turning, the body turning from a straight line, the body turning, and the head turning Enter the straight state and the vehicle body enters the straight state by turning;

步骤4:根据步骤3获取的列车行驶状态获取对应悬架的车轮转角。Step 4: Obtain the wheel angle of the corresponding suspension according to the train running state obtained in Step 3.

下面具体描述各种行驶状态下对应悬架车轮转角的计算方法:The following describes the calculation method of the corresponding suspension wheel angle under various driving conditions:

(1)如图3所示,当虚拟轨道列车的车头处于由直线进入转弯状态,即第一悬架开始由直线区段驶入圆曲线区段并且第二悬架仍处于直线区段时,第二悬架轮转角δ2的计算方法为:(1) As shown in FIG. 3 , when the head of the virtual rail train is in a state of turning from a straight line, that is, when the first suspension starts to drive from the straight section to the circular curve section and the second suspension is still in the straight section, The calculation method of the second suspension wheel angle δ 2 is:

Figure BDA0002900359010000071
Figure BDA0002900359010000071

其中,L为虚拟轨道列车的列车轴距;R1和R2分别为第一悬架和第二悬架的瞬时运动半径;Among them, L is the train wheelbase of the virtual rail train; R 1 and R 2 are the instantaneous motion radii of the first suspension and the second suspension, respectively;

R1和R2满足如下关系:R 1 and R 2 satisfy the following relationship:

Figure BDA0002900359010000072
Figure BDA0002900359010000072

Figure BDA0002900359010000073
Figure BDA0002900359010000073

Figure BDA0002900359010000074
Figure BDA0002900359010000074

∠ABO=π-∠AOB-∠BAO∠ABO=π-∠AOB-∠BAO

R1和R2的计算方法为:R1 and R2 are calculated as :

Figure BDA0002900359010000081
Figure BDA0002900359010000081

其中,

Figure BDA0002900359010000082
为第一悬架在圆曲线区段的运行时间;R为圆曲线半径;δ1为第一悬架的车轮转角;v1为第一悬架的运动速度。in,
Figure BDA0002900359010000082
is the running time of the first suspension in the circular curve section; R is the radius of the circular curve; δ 1 is the wheel angle of the first suspension; v 1 is the movement speed of the first suspension.

(2)如图4所示,虚拟轨道列车的车头处于转弯状态,即第一悬架与第二悬架同时处于圆曲线区段时;第二悬架车轮转角δ2的计算方法为:(2) As shown in Figure 4, the head of the virtual rail train is in a turning state, that is, when the first suspension and the second suspension are in the circular curve section at the same time; the calculation method of the wheel angle δ 2 of the second suspension is:

δ2=δ1 δ 21

其中,δ1为第一悬架的车轮转角。Wherein, δ 1 is the wheel angle of the first suspension.

(3)如图5所示,虚拟轨道列车的车身为由直线进入转弯状态,即第i悬架开始由直线区段驶入圆曲线区段并且第i+1悬架处于直线曲线时,其中i≥2,第i+1悬架的车轮转角δi+1的计算方法为:(3) As shown in Figure 5, the body of the virtual rail train enters the turning state from a straight line, that is, when the i-th suspension starts to drive from the straight-line section into the circular curve section and the i+1-th suspension is in a straight curve, where i≥2, the calculation method of the wheel angle δ i+1 of the i+1th suspension is:

Figure BDA0002900359010000083
Figure BDA0002900359010000083

其中,点A为第i悬架的中心点;点B为第i+1悬架的中心点;点C为第i悬架与第i+1悬架的铰接点;点O为相邻两个悬架中心点运动的速度瞬心;Among them, point A is the center point of the i-th suspension; point B is the center point of the i+1-th suspension; point C is the hinge point between the i-th suspension and the i+1-th suspension; point O is the adjacent two The instantaneous center of velocity of the motion of the center point of the suspension;

∠ABC满足如下关系:∠ABC satisfies the following relation:

Figure BDA0002900359010000084
Figure BDA0002900359010000084

Figure BDA0002900359010000085
Figure BDA0002900359010000085

∠ABC和∠ABO的计算方法为:∠ABC and ∠ABO are calculated as:

Figure BDA0002900359010000086
Figure BDA0002900359010000086

Figure BDA0002900359010000087
Figure BDA0002900359010000087

Figure BDA0002900359010000088
Figure BDA0002900359010000088

其中,Ls为车间连接模块GCM两端铰接点的纵向安装距离,γi-1为相邻两个车体之间的铰接角度;

Figure BDA0002900359010000091
为第i悬架在圆曲线区段的运行时间;vi为第i悬架的运动速度。Among them, L s is the longitudinal installation distance of the hinge points at both ends of the workshop connection module GCM, and γ i-1 is the hinge angle between two adjacent car bodies;
Figure BDA0002900359010000091
is the running time of the i-th suspension in the circular curve section; v i is the movement speed of the i-th suspension.

(4)如图6所示,虚拟轨道列车的车身处于转弯状态,即第i悬架与第i+1悬架同时处于圆曲线区段内时,其中i≥2,第i+1悬架的车轮转角的计算方法为:(4) As shown in Figure 6, the body of the virtual rail train is in a turning state, that is, when the i-th suspension and the i+1-th suspension are in the circular curve section at the same time, where i≥2, the i+1-th suspension The calculation method of the wheel angle is:

Figure BDA0002900359010000092
Figure BDA0002900359010000092

Figure BDA0002900359010000093
Figure BDA0002900359010000093

其中,点A为第i悬架的中心点;点B为第i+1悬架的中心点;点C为第i悬架与第i+1悬架的铰接点;点O为相邻两个悬架中心点运动的速度瞬心。Among them, point A is the center point of the i-th suspension; point B is the center point of the i+1-th suspension; point C is the hinge point between the i-th suspension and the i+1-th suspension; point O is the adjacent two The instantaneous center of velocity of the motion of the center point of the suspension.

(5)如图7所示,虚拟轨道列车的车头处于由转弯进入直线状态,即第一悬架由圆曲线区段驶入直线区段并且第二悬架仍处于圆曲线区段内时,第二悬架车轮转角δ2的计算方法为:(5) As shown in FIG. 7 , when the head of the virtual rail train is in a straight line state from turning, that is, when the first suspension enters the straight line section from the circular curve section and the second suspension is still in the circular curve section, The calculation method of the wheel angle δ 2 of the second suspension is:

Figure BDA0002900359010000094
Figure BDA0002900359010000094

Figure BDA0002900359010000095
Figure BDA0002900359010000095

其中,

Figure BDA0002900359010000096
为第二悬架在圆曲线区段的运行时间。in,
Figure BDA0002900359010000096
is the running time of the second suspension in the circular curve section.

(6)如图8所示,虚拟轨道列车的车身处于由转弯进入直线状态,即第i悬架开始由圆曲线区段驶入直线区段,而第i+1悬架仍处于圆曲线区段时,其中i≥2,第i+1悬架的车轮转角δi+1的计算方法为:(6) As shown in Figure 8, the body of the virtual rail train is in a state of turning into a straight line, that is, the i-th suspension starts to drive from the circular curve section to the straight section, while the i+1-th suspension is still in the circular curve area. segment, where i≥2, the calculation method of the wheel angle δ i+1 of the i+1th suspension is:

Figure BDA0002900359010000097
Figure BDA0002900359010000097

Figure BDA0002900359010000098
Figure BDA0002900359010000098

其中,

Figure BDA0002900359010000099
Figure BDA00029003590100000910
分别为第i悬架开始驶出圆曲线区段、驶入直线区段时第i+1悬架、第i悬架的车轮转角初始值和相邻车体铰接角的初始值,
Figure BDA00029003590100000911
第i+1悬架在圆曲线区段的运行时间,vi+1为第i+1悬架运动速度。in,
Figure BDA0002900359010000099
and
Figure BDA00029003590100000910
are the initial value of the wheel angle of the i+1th suspension, the ith suspension and the initial value of the hinge angle of the adjacent car body when the ith suspension starts to drive out of the circular curve section and when it enters the straight section, respectively,
Figure BDA00029003590100000911
The running time of the i+1th suspension in the circular curve section, v i+1 is the movement speed of the i+1th suspension.

本实施例中的门式虚拟轨道列车设有自动驾驶模式和手动驾驶模式,如图9所示,线路信息和ECM1的姿态信息由列车自动采集,在自动驾驶模式下车轮转角由算法自动计算,然后依次对各个后车的车轴进行循迹控制;在手动驾驶模式下车轮转角由驾驶员手动输入,然后依次对各个后车的车轴进行循迹控制。The portal virtual rail train in this embodiment has an automatic driving mode and a manual driving mode. As shown in Figure 9, the line information and the attitude information of the ECM1 are automatically collected by the train, and the wheel angle is automatically calculated by the algorithm in the automatic driving mode. Then, the axles of each rear car are tracked in turn; in the manual driving mode, the wheel angle is manually input by the driver, and then the track control is performed on the axles of each rear car in turn.

以上所述,仅为本发明的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到各种等效的修改或替换,这些修改或替换都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应以权利要求的保护范围为准。The above are only specific embodiments of the present invention, but the protection scope of the present invention is not limited to this. Any person skilled in the art can easily think of various equivalents within the technical scope disclosed by the present invention. Modifications or substitutions should be included within the protection scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.

Claims (10)

1.一种门式虚拟轨道列车,其特征在于,所述的门式虚拟轨道列车包括端部车体模块ECM(1)、中间车体模块ICM(2)、门式车间连接模块GCM(3)、动力悬架模块PSM(4)、非动力悬架模块NPSM(5)、铰接结构(6)和锁闭机构(7);1. A portal virtual rail train, characterized in that the portal virtual rail train comprises an end car body module ECM (1), an intermediate car body module ICM (2), a portal workshop connection module GCM (3) ), power suspension module PSM (4), non-power suspension module NPSM (5), hinge structure (6) and locking mechanism (7); 所述的端部车体模块ECM(1)通过车体连接模块GCM(3)与中间车体模块ICM(2)相连;The end vehicle body module ECM (1) is connected to the intermediate vehicle body module ICM (2) through the vehicle body connection module GCM (3); 所述的端部车体模块ECM(1)安装在动力悬架模块PSM(4)上;所述的车间连接模块GCM(3)安装在非动力悬架模块NPSM(5)上;The end body module ECM (1) is installed on the power suspension module PSM (4); the workshop connection module GCM (3) is installed on the non-power suspension module NPSM (5); 所述的门式车间连接模块GCM(3)通过二系悬挂安装在非动力悬架模块NPSM(5)上;The portal workshop connection module GCM (3) is installed on the non-dynamic suspension module NPSM (5) through the secondary suspension; 所述的车间连接模块GCM(3)与端部车体模块ECM(1)之间以及车间连接模块GCM(3)与中间车体模块ICM(2)之间均通过铰接结构(6)相连;The said workshop connection module GCM (3) and the end vehicle body module ECM (1) and between the workshop connection module GCM (3) and the intermediate vehicle body module ICM (2) are connected by a hinge structure (6); 所述的锁闭机构(7)用于约束车间连接模块GCM(3)与其运动方向前方车体模块之间运动自由度,锁闭结构(7)分别设置在车间连接模块GCM(3)与端部车体模块ECM(1)之间以及车间连接模块GCM(3)与中间车体模块ICM(2)之间。The locking mechanism (7) is used to constrain the freedom of movement between the workshop connection module GCM (3) and the vehicle body module in front of the movement direction, and the locking structure (7) is respectively arranged on the workshop connection module GCM (3) and the end of the vehicle body module. between the external body module ECM (1) and between the workshop connection module GCM (3) and the intermediate body module ICM (2). 2.根据权利要求1所述的一种门式虚拟轨道列车,其特征在于,所述的端部车体模块ECM(1)和中间车体模块ICM(2)的车轮处均设有轮速传感器;所述的动力悬架模块PSM(4)和非动力悬架模块NPSM(5)上均设有车轮转角角度传感器;所述的铰接结构(6)处设有铰接角度传感器;所述的门式虚拟轨道列车设有用于对车辆进行定位的定位模块。2. A portal virtual rail train according to claim 1, characterized in that, wheels of the end car body module ECM (1) and the intermediate car body module ICM (2) are provided with wheel speed a sensor; the power suspension module PSM (4) and the non-dynamic suspension module NPSM (5) are both provided with wheel angle angle sensors; the hinge structure (6) is provided with a hinge angle sensor; the The portal virtual rail train is provided with a positioning module for positioning the vehicle. 3.一种用于如权利要求1所述门式虚拟轨道列车的转向循迹控制方法,其特征在于,所述的转向循迹控制方法包括:3. A steering tracking control method for the portal virtual rail train as claimed in claim 1, wherein the steering tracking control method comprises: 步骤1:获取虚拟轨道列车各个车轮的运动速度、列车各个悬架的车轮转角数据、各个铰接角数据、参考路径曲线半径数据以及各个悬架在线路上的位置;Step 1: Obtain the motion speed of each wheel of the virtual rail train, the wheel angle data of each suspension of the train, the data of each articulation angle, the data of the curve radius of the reference path, and the position of each suspension on the line; 步骤2:按照列车头到列车尾的顺序依次对每个悬架进行编号;Step 2: Number each suspension in sequence from the head of the train to the tail of the train; 步骤3:根据步骤1获取的数据判断当前列车车头和车身的行驶状态,包括车头为由直线进入转弯状态、车头为转弯状态、车身为由直线进入转弯状态、车身为转弯状态、车头为由转弯进入直线状态以及车身为由转弯进入直线状态;Step 3: According to the data obtained in step 1, determine the running state of the current train head and body, including the head turning from a straight line, the head turning, the body turning from a straight line, the body turning, and the head turning Enter the straight state and the vehicle body enters the straight state by turning; 步骤4:根据步骤3获取的列车行驶状态获取对应悬架的车轮转角,完成转向控制。Step 4: Obtain the wheel angle of the corresponding suspension according to the train running state obtained in Step 3, and complete the steering control. 4.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的列车各个车轮的运动速度通过安装在车轮处的轮速传感器获得;4. A steering tracking control method according to claim 3, wherein the motion speed of each wheel of the train is obtained by a wheel speed sensor installed at the wheel; 所述的列车各个悬架的车轮转角数据通过角度传感器测量获得;The wheel angle data of each suspension of the train is obtained by measuring the angle sensor; 所述的各个铰接角数据通过安装在车间铰接出的角度传感器测量获得;The data of each hinge angle is obtained by measuring the hinge angle sensor installed in the workshop; 所述的参考路径曲线半径数据通过头车传感器探测获得或利用线路上的应答器获得;The reference path curve radius data is obtained by detecting the head car sensor or using the transponder on the line; 所述的各个悬架在线路上的位置通过车辆定位模块获得。The position of each suspension on the line is obtained through the vehicle positioning module. 5.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的虚拟轨道列车的车头处于由直线进入转弯状态,即第一悬架开始由直线区段驶入圆曲线区段并且第二悬架仍处于直线区段时,第二悬架轮转角δ2的计算方法为:5 . A steering tracking control method according to claim 3 , wherein the head of the virtual rail train is in a state of turning from a straight line, that is, the first suspension starts to drive into a circular curve from a straight line section. 6 . When the second suspension is still in the straight section, the calculation method of the second suspension wheel angle δ 2 is:
Figure FDA0002900357000000021
Figure FDA0002900357000000021
其中,L为虚拟轨道列车的列车轴距;R1和R2分别为第一悬架和第二悬架的瞬时运动半径,R1和R2的计算方法为:Among them, L is the wheelbase of the virtual rail train; R 1 and R 2 are the instantaneous motion radii of the first suspension and the second suspension, respectively, and the calculation methods of R 1 and R 2 are:
Figure FDA0002900357000000022
Figure FDA0002900357000000022
其中,
Figure FDA0002900357000000023
为第一悬架在圆曲线区段的运行时间;R为圆曲线半径;δ1为第一悬架的车轮转角;v1为第一悬架的运动速度。
in,
Figure FDA0002900357000000023
is the running time of the first suspension in the circular curve section; R is the radius of the circular curve; δ 1 is the wheel angle of the first suspension; v 1 is the movement speed of the first suspension.
6.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的虚拟轨道列车的车头处于转弯状态,即第一悬架与第二悬架同时处于圆曲线区段时;第二悬架车轮转角δ2的计算方法为:6 . The steering tracking control method according to claim 3 , wherein the head of the virtual rail train is in a turning state, that is, when the first suspension and the second suspension are in a circular curve section at the same time. 7 . ; The calculation method of the wheel angle δ 2 of the second suspension is: δ2=δ1 δ 21 其中,δ1为第一悬架的车轮转角。Wherein, δ 1 is the wheel angle of the first suspension. 7.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的虚拟轨道列车的车身为由直线进入转弯状态,即第i悬架开始由直线区段驶入圆曲线区段并且第i+1悬架处于直线曲线时,其中i≥2,第i+1悬架的车轮转角δi+1的计算方法为:7 . The steering tracking control method according to claim 3 , wherein the body of the virtual rail train enters a turning state from a straight line, that is, the i-th suspension starts to drive into a circular curve from a straight line section. 8 . section and the i+1th suspension is on a straight curve, where i≥2, the calculation method of the wheel angle δ i+1 of the i+1th suspension is:
Figure FDA0002900357000000031
Figure FDA0002900357000000031
其中,点A为第i悬架的中心点;点B为第i+1悬架的中心点;点C为第i悬架与第i+1悬架的铰接点;点O为相邻两个悬架中心点运动的速度瞬心;Among them, point A is the center point of the i-th suspension; point B is the center point of the i+1-th suspension; point C is the hinge point between the i-th suspension and the i+1-th suspension; point O is the adjacent two The instantaneous center of velocity of the motion of the center point of the suspension; ∠ABC和∠ABO的计算方法为:∠ABC and ∠ABO are calculated as:
Figure FDA0002900357000000032
Figure FDA0002900357000000032
Figure FDA0002900357000000033
Figure FDA0002900357000000033
Figure FDA0002900357000000034
Figure FDA0002900357000000034
其中,Ls为车间连接模块GCM两端铰接点的纵向安装距离,γi-1为相邻两个车体之间的铰接角度;
Figure FDA0002900357000000035
为第i悬架在圆曲线区段的运行时间;vi为第i悬架的运动速度。
Among them, L s is the longitudinal installation distance of the hinge points at both ends of the workshop connection module GCM, and γ i-1 is the hinge angle between two adjacent car bodies;
Figure FDA0002900357000000035
is the running time of the i-th suspension in the circular curve section; v i is the movement speed of the i-th suspension.
8.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的虚拟轨道列车的车身处于转弯状态,即第i悬架与第i+1悬架同时处于圆曲线区段内时,其中i≥2,第i+1悬架的车轮转角的计算方法为:8 . A steering tracking control method according to claim 3 , wherein the body of the virtual rail train is in a turning state, that is, the i-th suspension and the i+1-th suspension are in a circular curve area at the same time. 9 . In the segment, where i≥2, the calculation method of the wheel angle of the i+1th suspension is:
Figure FDA0002900357000000036
Figure FDA0002900357000000036
Figure FDA0002900357000000037
Figure FDA0002900357000000037
其中,点A为第i悬架的中心点;点B为第i+1悬架的中心点;点C为第i悬架与第i+1悬架的铰接点;点O为相邻两个悬架中心点运动的速度瞬心。Among them, point A is the center point of the i-th suspension; point B is the center point of the i+1-th suspension; point C is the hinge point between the i-th suspension and the i+1-th suspension; point O is the adjacent two The instantaneous center of velocity of the motion of the center point of the suspension.
9.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的虚拟轨道列车的车头处于由转弯进入直线状态,即第一悬架由圆曲线区段驶入直线区段并且第二悬架仍处于圆曲线区段内时,第二悬架车轮转角δ2的计算方法为:9 . The steering tracking control method according to claim 3 , wherein the head of the virtual rail train is in a state of entering a straight line from a turn, that is, the first suspension enters a straight line area from a circular curve section. 10 . When the second suspension is still in the circular curve section, the calculation method of the wheel angle δ 2 of the second suspension is:
Figure FDA0002900357000000038
Figure FDA0002900357000000038
Figure FDA0002900357000000041
Figure FDA0002900357000000041
其中,
Figure FDA0002900357000000042
为第二悬架在圆曲线区段的运行时间。
in,
Figure FDA0002900357000000042
is the running time of the second suspension in the circular curve section.
10.根据权利要求3所述的一种转向循迹控制方法,其特征在于,所述的虚拟轨道列车的车身处于由转弯进入直线状态,即第i悬架开始由圆曲线区段驶入直线区段,而第i+1悬架仍处于圆曲线区段时,其中i≥2,第i+1悬架的车轮转角δi+1的计算方法为:10 . The steering tracking control method according to claim 3 , wherein the body of the virtual rail train is in a state of entering a straight line from a turn, that is, the i-th suspension starts to enter a straight line from a circular curve section. 11 . section, and when the i+1th suspension is still in the circular curve section, where i≥2, the calculation method of the wheel angle δ i+1 of the i+1th suspension is:
Figure FDA0002900357000000043
Figure FDA0002900357000000043
Figure FDA0002900357000000044
Figure FDA0002900357000000044
其中,
Figure FDA0002900357000000045
Figure FDA0002900357000000046
分别为第i悬架开始驶出圆曲线区段、驶入直线区段时第i+1悬架、第i悬架的车轮转角初始值和相邻车体铰接角的初始值,
Figure FDA0002900357000000047
第i+1悬架在圆曲线区段的运行时间,vi+1为第i+1悬架运动速度。
in,
Figure FDA0002900357000000045
and
Figure FDA0002900357000000046
are the initial value of the wheel angle of the i+1th suspension, the ith suspension and the initial value of the hinge angle of the adjacent car body when the ith suspension starts to drive out of the circular curve section and when it enters the straight section, respectively,
Figure FDA0002900357000000047
The running time of the i+1th suspension in the circular curve section, v i+1 is the movement speed of the i+1th suspension.
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