CN112027117B - A control method for side-slip and roll compound turns of aircraft based on attitude measurement - Google Patents
A control method for side-slip and roll compound turns of aircraft based on attitude measurement Download PDFInfo
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Abstract
本发明是关于一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法。其安装YIN600‑R惯性组合导航系统测量偏航角、滚转角与侧向加速度,再通过积分得到侧向速度与位置信号。然后设计非线性低通积分校正器得到位置误差积分信号,在设计非线性低通滤波校器得到速率滤波信号,再通过对称设计与组合,得到偏航角与滚转角的期望信号,然后通过姿态角的误差、高通微分校正与非线性积分得到最终的偏航与滚转通道控制信号,两通道同时作用实现飞行器的协同一体化侧向转弯控制。该方法的优点在于侧滑滚转的一体化控制使得飞行器侧向转弯具有很好的快速性,同时对称性的设计又使得其具有很好的稳定性。
The invention relates to an attitude measurement-based aircraft sideslip-roll compound turning control method. It installs YIN600-R inertial integrated navigation system to measure yaw angle, roll angle and lateral acceleration, and then obtains lateral velocity and position signals through integration. Then design a nonlinear low-pass integral corrector to obtain the position error integral signal, and then design a nonlinear low-pass filter corrector to obtain the rate filter signal, and then through symmetrical design and combination, get the expected signal of yaw angle and roll angle, and then pass the attitude Angle error, high-pass differential correction and nonlinear integration to obtain the final yaw and roll channel control signals, and the two channels act simultaneously to realize the cooperative and integrated lateral turning control of the aircraft. The advantage of this method is that the integrated control of sideslip and roll makes the lateral turning of the aircraft very fast, and at the same time, the symmetrical design makes it very stable.
Description
技术领域technical field
本发明涉及飞行器稳定与转弯控制领域,具体而言,涉及一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法。The invention relates to the field of aircraft stability and turning control, in particular to an attitude measurement-based aircraft sideslip and roll compound turning control method.
背景技术Background technique
飞行器的侧向质心运动目前主流的方法有侧滑转弯与倾斜转弯两种,其中倾斜转弯又称滚转转弯,利用飞行器滚转过程中的升力方向改变提供向心力,使得飞行器转弯过程比传统的侧滑转弯更快。但传统侧滑转弯的思想是使得滚转通道基本不动,利用侧滑角提供转弯的动力;倾斜转弯为了消除偏航通道的耦合,一般是在偏航通道处于稳定状态。因此这两种方法为了保证系统的稳定性,而完全采用了两通道的飞离设计思想,并没有利用偏航与侧滑之间的非线性耦合效应。而我们知道告诉运动的物体在滚转与侧滑时,具有耦合的物理天性,基于上述背景原因,我们提出了一种采用姿态测量与姿态稳定为基石,同时通过偏航角与滚转角的协调控制,实现了侧滑滚转协同一体化的飞行器转弯控制方法,使得转弯过程具有很好的快速性,也使得该方法具有很高的工程应用价值。The current mainstream methods for the lateral center of mass movement of the aircraft are sideslip turn and bank turn. Among them, the bank turn is also called roll turn, which uses the change of lift direction during the rolling process of the aircraft to provide centripetal force, so that the turning process of the aircraft is faster than the traditional sideways turn. Slippery turns are faster. However, the idea of the traditional sideslip turn is to keep the roll channel basically stationary, and use the sideslip angle to provide the turning power; in order to eliminate the coupling of the yaw channel, the banked turn is generally in a stable state in the yaw channel. Therefore, in order to ensure the stability of the system, these two methods fully adopt the two-channel fly-off design idea, and do not use the nonlinear coupling effect between yaw and sideslip. We know that the moving object has a coupled physical nature when it rolls and slides sideways. Based on the above background reasons, we propose a method that uses attitude measurement and attitude stabilization as the cornerstone, and at the same time coordinates the yaw angle and roll angle. Control, realizes the side-slip and roll cooperative integration of the aircraft turning control method, which makes the turning process very fast, and also makes this method have high engineering application value.
需要说明的是,在上述背景技术部分发明的信息仅用于加强对本发明的背景的理解,因此可以包括不构成对本领域普通技术人员已知的现有技术的信息。It should be noted that the information disclosed in the above background technology section is only used to enhance the understanding of the background of the present invention, and therefore may include information that does not constitute prior art known to those of ordinary skill in the art.
发明内容Contents of the invention
本发明的目的在于提供一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法,进而至少在一定程度上克服由于相关技术的限制和缺陷而导致的飞行器转弯偏航滚转通道无法协调匹配控制的问题。The purpose of the present invention is to provide a method for controlling aircraft side-slip and roll compound turns based on attitude measurement, and then at least to a certain extent overcome the uncoordinated matching control of aircraft turning, yaw, and roll channels caused by the limitations and defects of related technologies The problem.
根据本发明的一个方面,提供一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法,包括以下步骤:According to one aspect of the present invention, there is provided a method for controlling an aircraft sideslip and roll compound turn based on attitude measurement, comprising the following steps:
步骤S10,在飞行器上安装YIN600-R惯性组合导航系统,测量飞行器的侧向加速度、偏航角与滚转角;Step S10, install the YIN600-R inertial integrated navigation system on the aircraft, and measure the lateral acceleration, yaw angle and roll angle of the aircraft;
步骤S20,根据YIN600-R惯性组合导航系统测量得到的侧向加速度信号,进行两次积分分别得到侧向速度信号与侧向位置信号,并与侧向位置指令信号进行对比,得到侧向位置误差信号;Step S20, according to the lateral acceleration signal measured by the YIN600-R inertial integrated navigation system, perform two integrations to obtain the lateral speed signal and the lateral position signal respectively, and compare them with the lateral position command signal to obtain the lateral position error Signal;
步骤S30,根据所述的侧向位置误差信号,设计非线性低通积分校正器并进行线性积分,得到侧向位置滤波积分信号;Step S30, according to the lateral position error signal, design a nonlinear low-pass integral corrector and perform linear integration to obtain a lateral position filtered integral signal;
步骤S40,根据所述的侧向速度信号,设计非线性低通滤波校正器,得到滤波速度信号,为系统提供阻尼信号;Step S40, according to the lateral speed signal, design a nonlinear low-pass filter corrector, obtain the filtered speed signal, and provide a damping signal for the system;
步骤S50,根据所述的侧向位置误差信号、侧向位置滤波积分信号与滤波速度信号,进行线性组合与叠加,分别设计偏航角期望信号与滚转角期望信号;Step S50, performing linear combination and superposition according to the lateral position error signal, the lateral position filtered integral signal and the filtered speed signal, respectively designing a desired yaw angle signal and a desired roll angle signal;
步骤S60,根据YIN600-R惯性组合导航系统测量得到的偏航角信号与所述的偏航角期望信号进行对比,得到偏航角误差信号,然后设计非线性高通微分校正器,得到偏航角误差滤波微分信号,再叠加误差非线性积分信号,组成偏航通道控制信号;Step S60, compare the yaw angle signal measured by the YIN600-R inertial integrated navigation system with the desired yaw angle signal to obtain the yaw angle error signal, and then design a nonlinear high-pass differential corrector to obtain the yaw angle The error filter differential signal is superimposed on the error nonlinear integral signal to form the yaw channel control signal;
步骤S70,根据YIN600-R惯性组合导航系统测量得到的滚转角信号与所述的滚转角期望信号进行对比,得到滚转角误差信号,然后设计非线性高通微分校正器,得到滚转角误差滤波微分信号,再叠加误差非线性积分信号,组成滚转通道控制信号,与偏航通道同时控制实现飞行器的侧滑滚转协同转弯。Step S70, comparing the roll angle signal measured by the YIN600-R inertial integrated navigation system with the roll angle expected signal to obtain a roll angle error signal, and then designing a nonlinear high-pass differential corrector to obtain a roll angle error filtered differential signal , and then superimpose the error nonlinear integral signal to form the roll channel control signal, which is controlled simultaneously with the yaw channel to realize the side-slip roll cooperative turning of the aircraft.
在本发明的一种示例实施例中,在飞行器上安装YIN600-R惯性组合导航系统测量飞行器的偏航角、滚转角与侧向加速度,然后测量飞行器的偏航角并进行两次积分分别得到侧向速度信号与侧向位置信号,并与侧向位置指令信号进行对比,得到侧向位置误差信号包括;In an exemplary embodiment of the present invention, the YIN600-R inertial integrated navigation system is installed on the aircraft to measure the yaw angle, roll angle and lateral acceleration of the aircraft, and then the yaw angle of the aircraft is measured and integrated twice to obtain The lateral speed signal and the lateral position signal are compared with the lateral position command signal to obtain the lateral position error signal including;
vz=∫azdt;v z = ∫ a z dt;
z=∫vzdt;z=∫v z dt;
ez=z-zd;e z = zz d ;
其中az为采用YIN600-R惯性组合导航系统测量得到的飞行器的侧向加速度,az(n)表示侧向加速度的在时间t=n*ΔT时刻的数据,其中n=1,2,3…,ΔT 为数据采样周期。vz为侧向速度信号,dt表示对时间信号进行积分。z为侧向位置信号,zd为根据飞行器的侧向任务设定侧向期望位置信号,ez为侧向位置误差信号。Among them, a z is the lateral acceleration of the aircraft measured by the YIN600-R inertial integrated navigation system, and a z (n) represents the data of the lateral acceleration at time t=n*ΔT, where n=1,2,3 ..., ΔT is the data sampling period. v z is the lateral speed signal, and dt means integrating the time signal. z is the lateral position signal, z d is the lateral desired position signal set according to the lateral task of the aircraft, e z is the lateral position error signal.
在本发明的一种示例实施例中,根据所述的侧向位置误差信号,设计非线性低通积分校正器并进行线性积分,得到侧向位置滤波积分信号包括:In an exemplary embodiment of the present invention, according to the lateral position error signal, a nonlinear low-pass integral corrector is designed and linearly integrated to obtain the lateral position filtered integral signal including:
ez1(n+1)=ez1(n)+Da*Ta;e z1 (n+1)=e z1 (n)+D a *T a ;
s1=∫ez1dt;s 1 =∫e z1 dt;
其中ez为所述的侧向位置误差信号,ez1为低通校正信号,Ta表示数据的时间间隔,k1、k2与ε1为常值参数,其详细设计见后文案例实施。dt表示对时间信号的积分,s1为最终的侧向位置滤波积分信号。Where e z is the above-mentioned lateral position error signal, e z1 is the low-pass correction signal, T a represents the time interval of the data, k 1 , k 2 and ε 1 are constant parameters, and the detailed design is shown in the following case implementation . dt represents the integral of the time signal, and s 1 is the final lateral position filtered integral signal.
在本发明的一种示例实施例中,根据所述的侧向速度信号,设计非线性低通滤波校正器,得到滤波速度信号包括:In an exemplary embodiment of the present invention, according to the lateral velocity signal, a non-linear low-pass filter corrector is designed to obtain the filtered velocity signal including:
vz1(n+1)=vz1(n)+Db*Ta;v z1 (n+1)=v z1 (n)+D b *T a ;
其中vz为所述的侧向速度信号,vz1为滤波速度信号,k3、k4与ε1为常值参数,其详细设计见后文案例实施。Among them, v z is the lateral speed signal mentioned above, v z1 is the filtered speed signal, k 3 , k 4 and ε 1 are constant parameters, and the detailed design is shown in the case implementation later.
在本发明的一种示例实施例中,根据所述的侧向位置误差信号、侧向位置滤波积分信号与滤波速度信号,进行线性组合与叠加,分别设计偏航角期望信号与滚转角期望信号包括:In an exemplary embodiment of the present invention, linear combination and superposition are performed according to the lateral position error signal, the lateral position filtered integral signal and the filtered speed signal, and the expected yaw angle signal and the expected roll angle signal are respectively designed include:
其中ez为所述的侧向位置误差信号,s1为侧向位置滤波积分信号,vz1为滤波速度信号,ψd为偏航角期望信号,γd为滚转角期望信号,c11、c12、c13、 c14、ε11、c21、c22、c23、c24、ε21为常值参数,其详细设计见后文案例实施。Where e z is the lateral position error signal, s 1 is the filtered integral signal of the lateral position, v z1 is the filtered velocity signal, ψ d is the expected signal of yaw angle, γ d is the expected signal of roll angle, c 11 , c 12 , c 13 , c 14 , ε 11 , c 21 , c 22 , c 23 , c 24 , and ε 21 are constant value parameters, and their detailed design is shown in the following case implementation.
在本发明的一种示例实施例中,根据YIN600-R惯性组合导航系统测量得到的偏航角信号与所述的偏航角期望信号进行对比,得到偏航角误差信号,然后设计非线性高通微分校正器,得到偏航角误差滤波微分信号,再叠加误差非线性积分信号,组成偏航通道控制信号包括:In an exemplary embodiment of the present invention, the yaw angle signal measured according to the YIN600-R inertial integrated navigation system is compared with the described yaw angle expected signal to obtain the yaw angle error signal, and then the nonlinear high-pass is designed The differential corrector obtains the yaw angle error filtered differential signal, and then superimposes the error nonlinear integral signal to form a yaw channel control signal including:
eψ=ψ-ψd;e ψ = ψ-ψ d ;
D1=d1(eψ(n+1)-eψ(n))+d2 sin(eψ(n+1)-eψ(n));D 1 =d 1 (e ψ (n+1)-e ψ (n))+d 2 sin(e ψ (n+1)-e ψ (n));
D2(n+1)=D2(n)+Dψ*Ta1;D 2 (n+1)=D 2 (n)+D ψ *T a1 ;
其中ψ为偏航角测量信号,eψ为偏航角误差信号,εψ为常值参数,其详细设计见后文案例实施,dt表示对时间信号的积分。Dψ为偏航角误差的微分校正信号,Ta1为数据采样的时间间隔,d1、d2、d3、d4、εk1为常值参数,其详细选取见后文实施。up为偏航通道控制信号,l1,l2,l3,l4,εl为常值控制参数,其详细设计见后文案例实施。Among them, ψ is the yaw angle measurement signal, e ψ is the yaw angle error signal, ε ψ is a constant value parameter, and its detailed design is shown in the following case implementation, and dt means the integral of the time signal. D ψ is the differential correction signal of yaw angle error, T a1 is the time interval of data sampling, and d 1 , d 2 , d 3 , d 4 , and ε k1 are constant parameters, and the detailed selection will be implemented later. u p is the control signal of the yaw channel, l 1 , l 2 , l 3 , l 4 , and ε l are the constant value control parameters, and the detailed design is shown in the following case implementation.
在本发明的一种示例实施例中,根据YIN600-R惯性组合导航系统测量得到的滚转角信号与所述的滚转角期望信号进行对比,得到滚转角误差信号,然后设计非线性高通微分校正器,得到滚转角误差滤波微分信号,再叠加误差非线性积分信号,组成滚转通道控制信号包括:In an exemplary embodiment of the present invention, the roll angle signal measured by the YIN600-R inertial integrated navigation system is compared with the roll angle expected signal to obtain the roll angle error signal, and then the nonlinear high-pass differential corrector is designed , to obtain the roll angle error filtered differential signal, and then superimpose the error nonlinear integral signal to form the roll channel control signal including:
eγ=γ-γd;e γ = γ-γ d ;
D3=d5(eγ(n+1)-eγ(n))+d6 sin(eγ(n+1)-eγ(n));D 3 =d 5 (e γ (n+1)-e γ (n))+d 6 sin(e γ (n+1)-e γ (n));
D4(n+1)=D4(n)+Dγ*Ta1;D 4 (n+1)=D 4 (n)+D γ *T a1 ;
其中γ为滚转角测量信号,eγ为滚转角误差信号,εγ为常值参数,其详细设计见后文案例实施,dt表示对时间信号的积分。s3为滚转角误差非线性积分信号,Dγ为滚转角误差的微分校正信号,Ta1为数据采样的时间间隔, d5、d6、d7、d8、εk2为常值参数,其详细选取见后文实施。ug为滚转通道控制信号,l5,l6,l7,l8,εg为常值控制参数,其详细设计见后文案例实施。Among them, γ is the roll angle measurement signal, e γ is the roll angle error signal, ε γ is a constant value parameter, and its detailed design is shown in the following case implementation, and dt represents the integral of the time signal. s 3 is the nonlinear integral signal of roll angle error, D γ is the differential correction signal of roll angle error, T a1 is the time interval of data sampling, d 5 , d 6 , d 7 , d 8 , ε k2 are constant parameters, For detailed selection, see the implementation below. u g is the control signal of the rolling channel, l 5 , l 6 , l 7 , l 8 , and ε g are the constant value control parameters, and its detailed design is shown in the following case implementation.
最终将所得到的偏航通道控制量up输送给偏航舵系统,实现对偏航角期望值的跟踪。将所得到的滚转通道控制量ug输送给滚转舵系统,实现对滚转角期望值的跟踪。从而在所述滚转通道与偏航通道的共同作用下,实现飞行器侧滑滚转协调转弯。Finally, the obtained yaw channel control value u p is sent to the yaw rudder system to realize the tracking of the expected value of yaw angle. The obtained rolling channel control value ug is sent to the rolling rudder system to realize the tracking of the expected value of the rolling angle. Therefore, under the joint action of the roll channel and the yaw channel, the sideslip and roll coordinated turn of the aircraft can be realized.
有益效果Beneficial effect
本发明提供的一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法,其优点在于实现了侧滑转弯与滚转转弯的协同控制,从而使得偏航通道与滚转通道的耦合效应得到了有效的利用。也使得飞行器在边滚转的同时进行侧滑运动,从而使得转弯的快速性得到了有效的提升,也使得飞行器的机动性得到了加强。尤其是通过对称的偏航角与滚转角期望信号设计,通过姿态测量与姿态稳定又保证了整个飞行器转弯过程的稳定性,从而使得整个方法具有很高的工程应用价值。The present invention provides an attitude measurement-based aircraft side-slip and roll composite turn control method, which has the advantage of realizing the coordinated control of sideslip and roll turns, so that the coupling effect of the yaw channel and the roll channel is obtained. effective use. It also enables the aircraft to perform side-slip motion while side-rolling, so that the rapidity of turning is effectively improved, and the maneuverability of the aircraft is also enhanced. Especially through the design of symmetrical yaw angle and roll angle expected signals, the stability of the entire aircraft turning process is guaranteed through attitude measurement and attitude stabilization, so that the whole method has high engineering application value.
应当理解的是,以上的一般描述和后文的细节描述仅是示例性和解释性的,并不能限制本发明。It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the invention.
附图说明Description of drawings
此处的附图被并入说明书中并构成本说明书的一部分,示出了符合本发明的实施例,并与说明书一起用于解释本发明的原理。显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the invention and together with the description serve to explain the principles of the invention. Apparently, the drawings in the following description are only some embodiments of the present invention, and those skilled in the art can obtain other drawings according to these drawings without creative efforts.
图1是本发明提供的一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法的流程图;Fig. 1 is the flow chart of a kind of aircraft sideslip and roll compound turning control method based on attitude measurement provided by the present invention;
图2是本发明实施例所提供方法的YIN600-R惯性组合导航系统实物图;Fig. 2 is the physical figure of the YIN600-R inertial integrated navigation system of the method provided by the embodiment of the present invention;
图3是本发明实施例所提供方法的飞行器侧向加速度曲线(单位:米每秒方);Fig. 3 is the aircraft lateral acceleration curve (unit: meter per second square) of the method provided by the embodiment of the present invention;
图4是本发明实施例所提供方法的飞行器偏航角曲线(单位:度);Fig. 4 is the aircraft yaw angle curve (unit: degree) of the method provided by the embodiment of the present invention;
图5是本发明实施例所提供方法的飞行器滚转角曲线(单位:度);Fig. 5 is the aircraft roll angle curve (unit: degree) of the method provided by the embodiment of the present invention;
图6是本发明实施例所提供方法的飞行器侧向速度曲线(单位:米每秒);Fig. 6 is the aircraft lateral velocity curve (unit: meter per second) of the method provided by the embodiment of the present invention;
图7是本发明实施例所提供方法的飞行器侧向位置曲线(单位:米);Fig. 7 is the aircraft lateral position curve (unit: meter) of the method provided by the embodiment of the present invention;
图8是本发明实施例所提供方法的飞行器侧向位置误差曲线(单位:米);Fig. 8 is the aircraft lateral position error curve (unit: meter) of the method provided by the embodiment of the present invention;
图9是本发明实施例所提供方法的飞行器侧向位置滤波积分信号曲线 (无单位);Fig. 9 is the aircraft lateral position filter integral signal curve (unitless) of method provided by the embodiment of the present invention;
图10是本发明实施例所提供方法的飞行器滤波速度信号曲线(无单位);Fig. 10 is the aircraft filtering speed signal curve (no unit) of the method provided by the embodiment of the present invention;
图11是本发明实施例所提供方法的偏航角期望信号曲线(单位:度);Fig. 11 is the yaw angle expected signal curve (unit: degree) of the method provided by the embodiment of the present invention;
图12是本发明实施例所提供方法的滚转角期望信号曲线(单位:度);Fig. 12 is the roll angle expected signal curve (unit: degree) of the method provided by the embodiment of the present invention;
图13是本发明实施例所提供方法的偏航通道控制信号曲线(无单位);Fig. 13 is the yaw channel control signal curve (no unit) of the method provided by the embodiment of the present invention;
图14是本发明实施例所提供方法的滚转通道控制信号曲线(无单位)。Fig. 14 is a rolling channel control signal curve (without unit) of the method provided by the embodiment of the present invention.
图15是本发明实施例所提供方法的侧滑角信号曲线(单位:度)。Fig. 15 is a sideslip angle signal curve (unit: degree) of the method provided by the embodiment of the present invention.
具体实施方式Detailed ways
现在将参考附图基础上更全面地描述示例实施方式。然而,示例实施方式能够以多种形式实施,且不应被理解为限于在此阐述的范例;相反,提供这些实施方式使得本发明将更加全面和完整,并将示例实施方式的构思全面地传达给本领域的技术人员。所描述的特征、结构或特性可以以任何合适的方式结合在一个或更多实施方式中。在下面的描述中,提供许多具体细节从而给出对本发明的实施方式的充分理解。然而,本领域技术人员将意识到,可以实践本发明的技术方案而省略所述特定细节中的一个或更多,或者可以采用其它的方法、组元、装置、步骤等。在其它情况下,不详细示出或描述公知技术方案以避免喧宾夺主而使得本发明的各方面变得模糊。Example embodiments will now be described more fully with reference to the accompanying drawings. Example embodiments may, however, be embodied in many forms and should not be construed as limited to the examples set forth herein; rather, these embodiments are provided so that this disclosure will be thorough and complete and fully convey the concept of example embodiments to those skilled in the art. The described features, structures, or characteristics may be combined in any suitable manner in one or more embodiments. In the following description, numerous specific details are provided in order to give a thorough understanding of embodiments of the invention. However, those skilled in the art will appreciate that the technical solution of the present invention may be practiced without one or more of the specific details, or other methods, components, devices, steps, etc. may be adopted. In other instances, well-known technical solutions have not been shown or described in detail to avoid obscuring aspects of the invention.
本发明提供了一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法,其通过测量飞行器的偏航角与滚转角,同时对偏航角与滚转角进行稳定与跟踪。然后通过测量飞行器的侧向加速度并积分与侧向质心控制任务指令信号进行对比得到侧向误差,同时通过速度滤波与误差积分得到偏航角与俯仰角的期望信号,通过同时在偏航与滚转通道进行期望姿态角的跟踪,实现侧向质心控制,从而使得滚转与偏航两通道能够完成协调与协同合作,大大提高转弯的快速性,同时对称性的姿态指令信号与姿态稳定系统设计,又使得两通道的稳定性得到保证,从而使得该方法的快速性与稳定性都能得到改善与提高。The invention provides an aircraft sideslip and roll compound turning control method based on attitude measurement, which measures the yaw angle and the roll angle of the aircraft, and simultaneously stabilizes and tracks the yaw angle and the roll angle. Then, the lateral error is obtained by measuring the lateral acceleration of the aircraft and comparing the integral with the lateral center of mass control task command signal. At the same time, the expected signal of the yaw angle and pitch angle is obtained through velocity filtering and error integration. The turning channel tracks the desired attitude angle and realizes the lateral center of mass control, so that the two channels of roll and yaw can complete coordination and cooperation, greatly improving the speed of turning, and at the same time, the design of symmetrical attitude command signal and attitude stabilization system , and the stability of the two channels is guaranteed, so that the rapidity and stability of the method can be improved and enhanced.
下面,将结合附图对本发明的一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法进行进一步的解释以及说明。参考图1所示,该一种基于姿态测量的飞行器侧滑滚转复合转弯控制方法包括以下步骤:Next, an attitude measurement-based aircraft side-slip-roll compound turn control method of the present invention will be further explained and described in conjunction with the accompanying drawings. Referring to Fig. 1, this a kind of attitude measurement-based aircraft sideslip and roll compound turning control method includes the following steps:
步骤S10,在飞行器上安装YIN600-R惯性组合导航系统,测量飞行器的侧向加速度、偏航角与滚转角。Step S10, install the YIN600-R inertial integrated navigation system on the aircraft, and measure the lateral acceleration, yaw angle and roll angle of the aircraft.
具体的,首先在飞行器上安装YIN600-R惯性组合导航系统,其实物图片如图2所示,其性能指标如下:重量150g,尺寸59*45*23.8mm,加速度测量范围-16g至16g,姿态精度0.1度,带宽80Hz,功耗1150mW,输出速率200Hz,速度精度为0.05米每秒,定位精度为0.1米。输出方式是RS232,RS485,RS422电平接口标准可选,工作温度-40~+85℃。Specifically, first install the YIN600-R inertial integrated navigation system on the aircraft. Its physical picture is shown in Figure 2. Its performance indicators are as follows: weight 150g, size 59*45*23.8mm, acceleration measurement range -16g to 16g, attitude The accuracy is 0.1 degrees, the bandwidth is 80Hz, the power consumption is 1150mW, the output rate is 200Hz, the speed accuracy is 0.05 meters per second, and the positioning accuracy is 0.1 meters. The output mode is RS232, RS485, RS422 level interface standard optional, working temperature -40~+85℃.
其次,采用YIN600-R惯性组合导航系统对飞行器的偏航角进行测量,计作ψ,ψ(n)表示偏航角的在时间t=n*ΔT时刻的数据,其中n=1,2,3…,ΔT为数据采样周期,其详细设计见后文案例实施。同时采用该惯导系统测量飞行器的侧向加速度,计作az,az(n)表示侧向加速度的在时间t=n*ΔT时刻的数据,其中n=1,2,3…,ΔT为数据采样周期,其详细设计可选取与偏航角测量相同。Secondly, the YIN600-R inertial integrated navigation system is used to measure the yaw angle of the aircraft, which is counted as ψ, ψ(n) represents the data of the yaw angle at time t=n*ΔT, where n=1,2, 3..., ΔT is the data sampling period, and its detailed design is shown in the following case implementation. Adopt this inertial navigation system to measure the lateral acceleration of aircraft simultaneously, count as az, az (n) represents the data of lateral acceleration at time t=n*ΔT moment, wherein n=1,2,3..., ΔT is data The sampling period, its detailed design can be chosen to be the same as that of the yaw angle measurement.
最后,采用YIN600-R惯性组合导航系统对飞行器的滚转角进行测量,计作γ,γ(n)表示滚转角的在时间t=n*ΔT时刻的数据,其中n=1,2,3…,ΔT为数据采样周期,其详细设计见后文案例实施。Finally, use the YIN600-R inertial integrated navigation system to measure the roll angle of the aircraft, which is counted as γ, γ(n) represents the data of the roll angle at time t=n*ΔT, where n=1,2,3... , ΔT is the data sampling period, and its detailed design is shown in the following case implementation.
步骤S20,根据YIN600-R惯性组合导航系统测量得到的侧向加速度信号,进行两次积分分别得到侧向速度信号与侧向位置信号,并与侧向位置指令信号进行对比,得到侧向位置误差信号;Step S20, according to the lateral acceleration signal measured by the YIN600-R inertial integrated navigation system, perform two integrations to obtain the lateral speed signal and the lateral position signal respectively, and compare them with the lateral position command signal to obtain the lateral position error Signal;
具体的,首先,根据所述的侧向加速度测量信号az,进行积分,得到侧向速度信号,计作vz,其积分方式如下:Specifically, firstly, according to the lateral acceleration measurement signal a z , integration is performed to obtain a lateral velocity signal, which is counted as v z , and the integration method is as follows:
vz=∫azdt;v z = ∫ a z dt;
其中dt表示对时间信号进行积分。where dt means integrating the time signal.
再次,对侧向速度测量信号az进行线性积分,得到侧向位置信号,计作z,其积分方式如下:Again, linearly integrate the lateral speed measurement signal a z to obtain the lateral position signal, which is counted as z, and the integration method is as follows:
z=∫vzdt;z=∫v z dt;
其中dt表示对时间信号进行积分。where dt means integrating the time signal.
最后,根据飞行器的侧向任务设定侧向期望位置信号,记作zd。然后与所述的侧向位置信号进行对比,得到侧向位置误差信号,记作ez,其比较方式如下:Finally, set the lateral desired position signal according to the lateral task of the aircraft, denoted as z d . Then compare it with the said lateral position signal to get the lateral position error signal, denoted as e z , the comparison method is as follows:
ez=z-zd;e z = zz d ;
步骤S30,根据所述的侧向位置误差信号,设计非线性低通积分校正器并进行线性积分,得到侧向位置滤波积分信号。Step S30, according to the lateral position error signal, design a nonlinear low-pass integral corrector and perform linear integration to obtain a lateral position filtered integral signal.
具体的,首先针对所述的侧向位置误差信号ez进行如下非线性低通校正,得到低通校正信号计作ez1,其计算方式如下:Specifically, first, the following nonlinear low-pass correction is performed on the lateral position error signal e z , and the obtained low-pass correction signal is counted as e z1 , and its calculation method is as follows:
ez1(n+1)=ez1(n)+Da*Ta;e z1 (n+1)=e z1 (n)+D a *T a ;
其中Ta表示数据的时间间隔,k1、k2与ε1为常值参数,其详细设计见后文案例实施。Among them, T a represents the time interval of the data, and k 1 , k 2 and ε 1 are constant parameters. For the detailed design, please refer to the case implementation later.
其次,对上述的低通校正信号进行积分,得到最终的侧向位置滤波积分信号,记作s1,其计算方式如下:Secondly, the above-mentioned low-pass correction signal is integrated to obtain the final lateral position filtered integral signal, denoted as s 1 , and its calculation method is as follows:
s1=∫ez1dts 1 =∫e z1 dt
其中dt表示对时间信号的积分。where dt represents the integration of the time signal.
步骤S40,根据所述的侧向速度信号,设计非线性低通滤波校正器,得到滤波速度信号,为系统提供阻尼信号;Step S40, according to the lateral speed signal, design a nonlinear low-pass filter corrector, obtain the filtered speed signal, and provide a damping signal for the system;
具体的,针对所述的侧向速度信号vz,进行如下非线性低通滤波校正,得到滤波速度信号,记作vz1,其计算方式如下:Specifically, the following nonlinear low-pass filter correction is performed on the lateral velocity signal v z to obtain the filtered velocity signal, denoted as v z1 , and its calculation method is as follows:
vz1(n+1)=vz1(n)+Db*Ta;v z1 (n+1)=v z1 (n)+D b *T a ;
其中k3、k2与ε1为常值参数,其详细设计见后文案例实施。Among them, k 3 , k 2 and ε 1 are constant parameters, and their detailed design is shown in the following case implementation.
步骤S50,根据所述的侧向位置误差信号、侧向位置滤波积分信号与滤波速度信号,进行线性组合与叠加,分别设计偏航角期望信号与滚转角期望信号。Step S50, performing linear combination and superposition according to the lateral position error signal, the lateral position filtered integral signal and the filtered speed signal, respectively designing a desired yaw angle signal and a desired roll angle signal.
具体的,首先根据所述的侧向位置误差信号ez,侧向位置滤波积分信号s1与滤波速度信号vz1,进行线性组合与叠加,设计偏航角期望信号,记作ψd,其计算方式如下:Specifically, firstly, according to the lateral position error signal e z , the lateral position filtered integral signal s 1 and the filtered speed signal v z1 are linearly combined and superimposed to design the expected yaw angle signal, denoted by ψ d , where It is calculated as follows:
其中c11、c12、c13、c14、ε11为常值参数,其详细设计见后文案例实施。Among them, c 11 , c 12 , c 13 , c 14 , and ε 11 are constant value parameters, and their detailed design is shown in the following case implementation.
其次,采用对称的方式,根据所述的侧向位置误差信号ez,侧向位置滤波积分信号s1与滤波速度信号vz1,进行线性组合与叠加,设计滚转角期望信号,记作γd,其计算方式如下:Secondly, in a symmetrical manner, according to the lateral position error signal e z , the lateral position filtered integral signal s 1 and the filtered speed signal v z1 are linearly combined and superimposed to design the expected roll angle signal, denoted as γ d , which is calculated as follows:
其中c21、c22、c23、c24、ε21为常值参数,其详细设计见后文案例实施。Among them, c 21 , c 22 , c 23 , c 24 , and ε 21 are constant value parameters, and their detailed design is shown in the following case implementation.
步骤S60,根据YIN600-R惯性组合导航系统测量得到的偏航角信号与所述的偏航角期望信号进行对比,得到偏航角误差信号,然后设计非线性高通微分校正器,得到偏航角误差滤波微分信号,再叠加误差非线性积分信号,组成偏航通道控制信号。Step S60, compare the yaw angle signal measured by the YIN600-R inertial integrated navigation system with the desired yaw angle signal to obtain the yaw angle error signal, and then design a nonlinear high-pass differential corrector to obtain the yaw angle The error filter differential signal is superimposed on the error nonlinear integral signal to form the yaw channel control signal.
具体的,首先对所述的偏航角测量信号与偏航角期望信号进行对比,得到偏航角误差信号,记作记作eψ,其比较方式如下:Specifically, firstly, the yaw angle measurement signal is compared with the yaw angle expected signal to obtain a yaw angle error signal, denoted as e ψ , and the comparison method is as follows:
eψ=ψ-ψd;e ψ = ψ-ψ d ;
其次,根据偏航角误差信号,进行非线性线性积分,得到偏航角误差非线性积分信号,记作s2,其积分方式如下:Secondly, according to the yaw angle error signal, the nonlinear linear integration is performed to obtain the yaw angle error nonlinear integral signal, denoted as s 2 , and the integration method is as follows:
其中εψ为常值参数,其详细设计见后文案例实施,dt表示对时间信号的积分。Among them, ε ψ is a constant value parameter, and its detailed design is shown in the following case implementation, and dt represents the integral of the time signal.
然后,根据偏航角误差信号构造如下的非线性高通微分校正器,得到偏航角误差的微分校正信号,计作Dψ,其计算方式如下:Then, according to the yaw angle error signal, construct the nonlinear high-pass differential corrector as follows, and obtain the differential correction signal of the yaw angle error, which is counted as D ψ , and its calculation method is as follows:
D1=d1(eψ(n+1)-eψ(n))+d2sin(eψ(n+1)-eψ(n));D 1 =d 1 (e ψ (n+1)-e ψ (n))+d 2 sin(e ψ (n+1)-e ψ (n));
D2(n+1)=D2(n)+Dψ*Ta1;D 2 (n+1)=D 2 (n)+D ψ *T a1 ;
其中Ta1为数据采样的时间间隔,d1、d2、d3、d4、εk1为常值参数,其详细选取见后文实施。Among them, T a1 is the time interval of data sampling, and d 1 , d 2 , d 3 , d 4 , and ε k1 are constant value parameters, and their detailed selection is described later in the implementation.
最后,针对所述的飞行器偏航角误差信号eψ以及偏航角误差非线性积分信号s2、偏航角误差的微分校正信号Dψ进行线性组合,得到最终的偏航通道控制信号,记作up,其计算方式如下:Finally, linearly combine the yaw angle error signal e ψ of the aircraft, the nonlinear integral signal s 2 of the yaw angle error, and the differential correction signal D ψ of the yaw angle error to obtain the final yaw channel control signal. As u p , its calculation method is as follows:
其中l1,l2,l3,l4,εl为常值控制参数,其详细设计见后文案例实施。Among them, l 1 , l 2 , l 3 , l 4 , and ε l are constant value control parameters, and their detailed design is shown in the following case implementation.
最终将所得到的偏航通道控制量up输送给偏航舵系统,实现对偏航角期望值的跟踪。Finally, the obtained yaw channel control value u p is sent to the yaw rudder system to realize the tracking of the expected value of yaw angle.
步骤S70,根据YIN600-R惯性组合导航系统测量得到的滚转角信号与所述的滚转角期望信号进行对比,得到滚转角误差信号,然后设计非线性高通微分校正器,得到滚转角误差滤波微分信号,再叠加误差非线性积分信号,组成滚转通道控制信号,与偏航通道同时控制实现飞行器的侧滑滚转协同转弯。Step S70, comparing the roll angle signal measured by the YIN600-R inertial integrated navigation system with the roll angle expected signal to obtain a roll angle error signal, and then designing a nonlinear high-pass differential corrector to obtain a roll angle error filtered differential signal , and then superimpose the error nonlinear integral signal to form the roll channel control signal, which is controlled simultaneously with the yaw channel to realize the side-slip roll cooperative turning of the aircraft.
具体的,首先对所述的滚转角测量信号与滚转角期望信号进行对比,得到滚转角误差信号,记作记作eγ,其比较方式如下:Specifically, firstly, the roll angle measurement signal is compared with the roll angle expected signal to obtain the roll angle error signal, denoted as e γ , and the comparison method is as follows:
eγ=γ-γd;e γ = γ-γ d ;
其次,根据滚转角误差信号,进行非线性线性积分,得到滚转角误差非线性积分信号,记作s3,其积分方式如下:Secondly, according to the roll angle error signal, the nonlinear linear integration is performed to obtain the roll angle error nonlinear integral signal, denoted as s 3 , and the integration method is as follows:
其中εγ为常值参数,其详细设计见后文案例实施,dt表示对时间信号的积分。然后,根据滚转角误差信号构造如下的非线性高通微分校正器,得到滚转角误差的微分校正信号,计作Dγ,其计算方式如下:Among them, ε γ is a constant value parameter, and its detailed design is shown in the following case implementation, and dt represents the integral of the time signal. Then, construct the nonlinear high-pass differential corrector as follows according to the roll angle error signal, and obtain the differential correction signal of the roll angle error, which is counted as D γ , and its calculation method is as follows:
D3=d5(eγ(n+1)-eγ(n))+d6sin(eγ(n+1)-eγ(n));D 3 =d 5 (e γ (n+1)-e γ (n))+d 6 sin(e γ (n+1)-e γ (n));
D4(n+1)=D4(n)+Dγ*Ta1;D 4 (n+1)=D 4 (n)+D γ *T a1 ;
其中Ta1为数据采样的时间间隔,d5、d6、d7、d8、εk2为常值参数,其详细选取见后文实施。Among them, T a1 is the time interval of data sampling, and d 5 , d 6 , d 7 , d 8 , and ε k2 are constant value parameters, and their detailed selection is described later in the implementation.
最后,针对所述的飞行器滚转角误差信号eγ以及滚转角误差非线性积分信号s3、滚转角误差的微分校正信号Dγ进行线性组合,得到最终的滚转通道控制信号,记作ug,其计算方式如下:Finally, linearly combine the aircraft roll angle error signal e γ , roll angle error nonlinear integral signal s 3 , and roll angle error differential correction signal D γ to obtain the final roll channel control signal, denoted as u g , which is calculated as follows:
其中l5,l6,l7,l8,εg为常值控制参数,其详细设计见后文案例实施。Among them, l 5 , l 6 , l 7 , l 8 , and ε g are constant control parameters, and their detailed design is shown in the following case implementation.
最终将所得到的滚转通道控制量ug输送给滚转舵系统,实现对滚转角期望值的跟踪。从而在所述滚转通道与偏航通道的共同作用下,实现飞行器侧滑滚转协调转弯。Finally, the obtained roll channel control value ug is sent to the roll rudder system to track the expected value of the roll angle. Therefore, under the joint action of the roll channel and the yaw channel, the sideslip and roll coordinated turn of the aircraft can be realized.
案例实施与模拟实验结果分析Case implementation and simulation experiment results analysis
在步骤S10中,在飞行器上安装YIN600-R惯性组合导航系统,测量飞行器的侧向加速度如图3所示,测量偏航角如图4所示,测量滚转角如图5所示。In step S10, install the YIN600-R inertial integrated navigation system on the aircraft, measure the lateral acceleration of the aircraft as shown in Figure 3, measure the yaw angle as shown in Figure 4, and measure the roll angle as shown in Figure 5.
在步骤S20中,根据YIN600-R惯性组合导航系统测量得到的侧向加速度信号,进行两次积分分别得到侧向速度信号与侧向位置信号如图6与图7所示,得到侧向位置误差信号如图8所示。In step S20, according to the lateral acceleration signal measured by the YIN600-R inertial integrated navigation system, two integrations are performed to obtain the lateral velocity signal and the lateral position signal respectively as shown in Figure 6 and Figure 7, and the lateral position error is obtained The signal is shown in Figure 8.
在步骤S30中,选取Ta=0.001,k1=10、k2=5与ε1=0.2,得到侧向位置滤波积分信号如图9所示。In step S30, T a =0.001, k 1 =10, k 2 =5 and ε 1 =0.2 are selected to obtain the filtered integral signal of the lateral position as shown in FIG. 9 .
在步骤S40中,选取k3=10、k4=6与ε1=0.5,得到滤波速度信号如图 10所示。In step S40, k 3 =10, k 4 =6 and ε 1 =0.5 are selected to obtain the filtered velocity signal as shown in FIG. 10 .
在步骤S50中,选取c11=0.1、c12=0.05、c13=0.1、c14=3、ε11=0.8,得到偏航角期望信号如图11所示,选取c21=0.2、c22=0.1、c23=0.2、c24=8、ε21=0.4;滚转角期望信号如图12所示。In step S50, select c 11 =0.1, c 12 =0.05, c 13 =0.1, c 14 =3, ε 11 =0.8 to obtain the desired yaw angle signal as shown in Figure 11, select c 21 =0.2, c 22 =0.1, c 23 =0.2, c 24 =8, ε 21 =0.4; the desired roll angle signal is shown in FIG. 12 .
在步骤S60中,选取d1=1000、d2=500、d3=20、d4=8、εk1=2、Ta1=0.001,εψ=0.7、l1=2,l2=0.2,l3=0.4,l4=5,εl=4,得到偏航通道控制信号如图13所示。In step S60, select d 1 =1000, d 2 =500, d 3 =20, d 4 =8, ε k1 =2, T a1 =0.001, ε ψ =0.7, l 1 =2, l 2 =0.2 , l 3 =0.4, l 4 =5, ε l =4, the yaw channel control signal is obtained as shown in Figure 13 .
在步骤S70中,选取d5=1000、d6=700、d7=10、d8=8、εk2=4、Ta1=0.001、εγ=.07,l5=2,l6=0.1,l7=0.3,l8=7,εg=6,得到滚转通道控制信号如图14所示。其与偏航通道同时控制实现飞行器的侧滑滚转协同转弯,转弯过程中的侧滑角如图15所示。In step S70, select d 5 =1000, d 6 =700, d 7 =10, d 8 =8, ε k2 =4, T a1 =0.001, ε γ =.07, l 5 =2, l 6 = 0.1, l 7 =0.3, l 8 =7, ε g =6, the control signal of the rolling channel is obtained as shown in FIG. 14 . It is controlled simultaneously with the yaw channel to realize the sideslip and roll cooperative turning of the aircraft. The sideslip angle during the turning process is shown in Figure 15.
由图4可以看出,偏航角最大达到了6度,由图5可以看出,滚转角最大达到了20度,而由图6可以看出,侧向速度最大达到了14米每秒,由图7可以看出,飞行器在5s左右即完成了大机动转弯。由图15可以看出,侧滑角最大达到了4.2度,而由图13与图14可以看出,偏航通道控制信号不超过8度,滚转通道控制信号不超过6度,也就意味着偏航舵与滚转舵均不超过8度,从而满足工程应用的限制要求。由上述案例可以看出,滚转侧滑一体化的转弯策略,使得飞行器转弯过程十分迅速而且耦合更利于转弯动作的完成,从而使得本发明具有很好的工程实用价值。It can be seen from Figure 4 that the maximum yaw angle reaches 6 degrees, it can be seen from Figure 5 that the maximum roll angle reaches 20 degrees, and it can be seen from Figure 6 that the maximum lateral speed reaches 14 meters per second. It can be seen from Fig. 7 that the aircraft completes the large maneuvering turn in about 5s. It can be seen from Figure 15 that the sideslip angle reaches a maximum of 4.2 degrees, and it can be seen from Figures 13 and 14 that the yaw channel control signal does not exceed 8 degrees, and the roll channel control signal does not exceed 6 degrees, which means Both the yaw rudder and the roll rudder are not more than 8 degrees, so as to meet the limit requirements of engineering applications. It can be seen from the above cases that the integrated turning strategy of roll and sideslip makes the turning process of the aircraft very fast and the coupling is more conducive to the completion of the turning action, so that the present invention has good engineering practical value.
本领域技术人员在考虑说明书及实践这类的发明后,将容易想到本发明的其他实施例。本申请旨在涵盖本发明的任何变型、用途或者适应性变化,这些变型、用途或者适应性变化遵循本发明的一般性原理并包括本发明未指明的本技术领域中的公知常识或惯用技术手段。说明书和实施例仅被视为示例性的,本发明的真正范围和精神由权利要求指出。Other embodiments of the invention will be readily apparent to those skilled in the art from consideration of the specification and practice of such an invention. This application is intended to cover any modification, use or adaptation of the present invention. These modifications, uses or adaptations follow the general principles of the present invention and include common knowledge or conventional technical means in the technical field not specified in the present invention . The specification and examples are to be considered exemplary only, with the true scope and spirit of the invention indicated by the appended claims.
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