Disclosure of Invention
The invention aims to solve the problem that a visual axis stabilizing system detector and an actuator are not coaxial based on IRU (IRU) due to the problem of space limitation, and provides a dynamic broadband disturbance suppression method, a dynamic broadband disturbance suppression system and dynamic broadband disturbance suppression equipment based on IRU.
The invention is realized by the following technical scheme, and in one aspect, the invention provides a dynamic broadband disturbance suppression method based on IRU, which comprises the following steps:
Step 1: setting a light vector A tar of target light incidence and a light vector A p of IRU emergent reference light, normalizing the light vector of the reference light, and obtaining a normalization result A sta of the reference light vector and a normal vector of IRU ;
Step 2: according to the rotation angles theta 1 and theta 2 of the IRU along the y axis of the x axis, respectively obtaining a rotation matrix S 1_sta rotating along the x axis and a rotation matrix S 2_sta rotating along the y axis;
Step 3: obtaining a normal vector N 1 and a reflection matrix R sta after IRU rotation;
Step 4: acquiring a reflection matrix R pri of the primary mirror and a reflection matrix R sec of the secondary mirror according to the installation position of the optical component;
Step 5: acquiring a light vector A 1 incident on the fine FSM;
Step 6: normalizing the normal vector of the refined FSM to obtain a normalized normal vector N FSM;
Step 7: according to the rotation angles alpha 1 and alpha 2 of the fine FSM along the y axis of the x axis, respectively obtaining a rotation matrix S 1_FSM rotating along the x axis and a rotation matrix S 2_FSM rotating along the y axis;
Step 8: obtaining a normal vector N 4 and a reflection matrix R FSM after the fine FSM rotates;
step 9: obtaining a reflection matrix of each lens, each reflector and each spectroscope of the optical assembly according to the calibration of the optical assembly;
Step 10: acquiring a ray A CCD incident on a fine tracking camera and coordinates under a camera coordinate system and a ray A PSD incident on a collimation detector and coordinates under a collimation detector coordinate system according to a reflection matrix of each lens, a reflection matrix R FSM, a reflection matrix R sec of a secondary lens, a reflection matrix R pri of a primary lens, a reflection matrix R sta after IRU rotation, a light vector A tar incident on target light and a normalization result A sta of a reference light vector of an optical assembly;
Step 11: and respectively performing inverse decoupling on the coordinates in the camera coordinate system and the coordinates in the collimation detector coordinate system to obtain a dynamic mathematical model of the precise FSM and IRU positions, the collimation detector off-target amount, the two-dimensional adjustment angle of the IRU and the precise FSM positions, and the precise tracking camera off-target amount, and performing solidification on the dynamic mathematical model in system hardware to realize corresponding dynamic closed-loop control so as to inhibit disturbance applied to a platform.
Further, the optical component is composed of a first lens, a first reflecting mirror, a second lens, a third reflecting mirror, a spectroscope and a third lens;
the target light is reflected by the primary mirror and the secondary mirror, then is incident on the fine FSM mirror surface, is reflected by the fine FSM mirror surface, and then is incident on the spectroscope after passing through the first lens, the first reflector, the second lens and the third reflector in sequence, and the spectroscope plays a role in reflecting the target light, so that the target light enters the fine tracking camera through the third lens after being reflected by the spectroscope;
The reference light is generated by the IRU, is reflected by the primary mirror and the secondary mirror, then is incident on the fine FSM mirror surface, is reflected by the fine FSM mirror surface, is sequentially incident on the spectroscope after passing through the first lens, the first reflecting mirror, the second lens and the third reflecting mirror, and has a transmission function on the reference light, and the reference light enters the collimation detector through the spectroscope.
Further, in step 10, the acquiring the light ray a CCD incident on the fine tracking camera and the coordinates under the camera coordinate system specifically includes:
The ray a CCD incident on the fine tracking camera is:
Wherein T Lens 1, 、、T Lens 2、F spectroscope and T Lens 3 are respectively the first lens, the first reflector, the second lens, the third reflector, the spectroscope and the reflection matrix of the third lens; according to the x, y and z coordinates of the fine tracking camera coordinate system, orthogonalizing and unitizing to obtain a rotation matrix M CCD of the camera coordinate system, and converting the rotation matrix of the global coordinate system into the fine tracking camera coordinate system N CCD=MCCD -1; the fine tracking camera incident ray a CCD is represented in the global coordinate system as: Obtaining normalized incident light Q CCD; the coordinates in the camera coordinate system are obtained as follows: 。
Further, in step 10, the acquiring the light ray a PSD incident on the collimating detector and the coordinates under the coordinate system of the collimating detector specifically includes:
The light ray a PSD incident on the collimation detector is:
;
according to the x, y and z coordinates of the collimation detector coordinate system, orthogonalization and unitization are carried out to obtain a rotation matrix M PSD which is converted into a global coordinate system by the collimation detector coordinate system, and the rotation matrix of the global coordinate system to the collimation detector coordinate is N PSD=MPSD -1; the incident ray a PSD on the collimated detector is represented in the global coordinate system as: obtaining normalized incident light ; The coordinates in the coordinate system of the collimation detector are obtained as follows:。
further, the formula of the rotation matrices S 1_sta and S 2_sta in step 2 is:
Wherein, ; The rotation vector of IRU along the x-axis isThe result after the normalization of the rotation vector along the x axis isThe rotation vector of IRU along the y-axis isThe result after the normalization of the rotation vector along the y axis is。
Further, the formula of the normal vector N 1 and the reflection matrix R sta in step 3 is:
。
further, the formula of the rotation matrices S 1_FSM and S 2_FSM in step 7 is:
Wherein, ; The rotation vector of FSM along x-axis rotation isThe result after the normalization of the rotation vector along the x axis is; The rotation vector of FSM along y-axis rotation isThe result after the normalization of the rotation vector along the y axis is。
In a second aspect, the present invention provides an IRU-based dynamic broadband disturbance rejection system, the system comprising an IRU, a primary mirror, a secondary mirror, a fine FSM, an optical component, a collimation detector, a fine tracking camera, and a control unit;
the optical component consists of a first lens, a first reflecting mirror, a second lens, a third reflecting mirror, a spectroscope and a third lens;
the target light is reflected by the primary mirror and the secondary mirror, then is incident on the fine FSM mirror surface, is reflected by the fine FSM mirror surface, then is incident on the spectroscope after passing through the first lens, the first reflector, the second lens and the third reflector in sequence, and has a reflection effect on the target light, so that the target light enters the fine tracking camera through the third lens after being reflected by the spectroscope, and the two-dimensional adjustment angle of the IRU is obtained by the current position of the fine FSM and the miss distance of the fine tracking camera;
The reference light is generated by the IRU, the reference light is reflected by the primary mirror and the secondary mirror, then is incident on the fine FSM mirror surface, is reflected by the fine FSM mirror surface, is sequentially incident on the spectroscope after passing through the first lens, the first reflecting mirror, the second lens and the third reflecting mirror, the spectroscope has a transmission function on the reference light, the reference light enters the collimation detector through the spectroscope, and the two-dimensional adjustment angle of the fine FSM is obtained by the current position of the IRU and the miss distance of the collimation detector;
the control unit suppresses disturbances applied to the platform according to an IRU-based dynamic broadband disturbance suppression method as described above.
In a third aspect, the invention provides a computer device comprising a memory and a processor, the memory having stored therein a computer program which when executed by the processor performs the steps of an IRU based dynamic broadband disturbance rejection method as described above.
In a fourth aspect, the present invention provides a computer readable storage medium having stored therein a plurality of computer instructions for causing a computer to perform an IRU-based dynamic broadband disturbance rejection method as described above.
The invention has the beneficial effects that:
Under the condition of considering the space limitation of the system, the technical route is shown in fig. 2, the system mainly comprises an IRU, a primary mirror, a secondary mirror, a fine FSM, a fine tracking camera, a collimation detector and an optical component, and compared with fig. 1, a series of optical components are added to realize deflection of the laser path in the system, so that the miniaturized design of the system is realized to the maximum extent. The optical component mainly comprises a lens, a reflecting mirror and a spectroscope, and specifically comprises a first lens, a first reflecting mirror, a second lens, a third reflecting mirror, a spectroscope and a third lens. The invention provides a solution for non-parallel coordinate axes caused by optical path deflection design. As shown in figure 3 in combination with the optical design layout in the actual system, the two-dimensional adjustment angle of the IRU is generated by the common constraint of the current position of the fine FSM and the off-target quantity of the fine tracking camera, and the two-dimensional adjustment angle of the fine FSM is generated by the common constraint of the current position of the IRU and the off-target quantity of the collimation detector.
Aiming at the problem of non-coaxial detector and actuator of the visual axis stabilizing system based on IRU caused by space limitation, the invention constructs a kinematic model of the visual axis stabilizing system based on a coordinate transformation method and an optical installation model, realizes closed-loop control of movable components in the visual axis stabilizing system, and provides technical support for realizing high-precision visual axis stabilization of a movable base photoelectric platform.
1. The invention is used for acquiring broadband disturbance under the movable base platform by introducing the IRU system, so as to inhibit the broadband disturbance applied under the movable base platform and realize the stable precision of the micro radian level visual axis of the movable base platform.
2. The invention combines an optical design installation model of an actual movable base platform and constructs a visual axis stabilizing system kinematics model based on a coordinate transformation method, solves the problem that a detector and an actuator are not coaxial in a movement coordinate system due to limited system space in the actual application process, realizes closed-loop control of a movable part in the visual axis stabilizing system, and solves the problem that the closed-loop control cannot be realized due to non-parallel movement coordinate axes caused by the optical design.
The invention is suitable for detecting, tracking and communicating targets in the technical fields of high-precision tracking such as space laser communication, directional energy and the like, and solves the technical problems that the stability of a laser link is insufficient, the precision is poor and the high-precision tracking cannot be realized due to visual axis shake caused by platform vibration.
Detailed Description
Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings, wherein the same or similar reference numerals refer to the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the drawings are exemplary and intended to illustrate the present invention and should not be construed as limiting the invention.
An embodiment one, a dynamic broadband disturbance suppression method based on IRU, includes:
Step 1: setting a light vector A tar of target light incidence and a light vector A p of IRU emergent reference light, normalizing the light vector of the reference light, and obtaining a normalization result A sta of the reference light vector and a normal vector of IRU ;
Step 2: according to the rotation angles theta 1 and theta 2 of the IRU along the y axis of the x axis, respectively obtaining a rotation matrix S 1_sta rotating along the x axis and a rotation matrix S 2_sta rotating along the y axis;
Step 3: obtaining a normal vector N 1 and a reflection matrix R sta after IRU rotation;
Step 4: acquiring a reflection matrix R pri of the primary mirror and a reflection matrix R sec of the secondary mirror according to the installation position of the optical component;
Step 5: acquiring a light vector A 1 incident on the fine FSM;
Step 6: normalizing the normal vector of the refined FSM to obtain a normalized normal vector N FSM;
Step 7: according to the rotation angles alpha 1 and alpha 2 of the fine FSM along the y axis of the x axis, respectively obtaining a rotation matrix S 1_FSM rotating along the x axis and a rotation matrix S 2_FSM rotating along the y axis;
Step 8: obtaining a normal vector N 4 and a reflection matrix R FSM after the fine FSM rotates;
step 9: obtaining a reflection matrix of each lens, each reflector and each spectroscope of the optical assembly according to the calibration of the optical assembly;
Step 10: acquiring a ray A CCD incident on a fine tracking camera and coordinates under a camera coordinate system and a ray A PSD incident on a collimation detector and coordinates under a collimation detector coordinate system according to a reflection matrix of each lens, a reflection matrix R FSM, a reflection matrix R sec of a secondary lens, a reflection matrix R pri of a primary lens, a reflection matrix R sta after IRU rotation, a light vector A tar incident on target light and a normalization result A sta of a reference light vector of an optical assembly;
Step 11: and respectively performing anti-decoupling on the coordinates under the camera coordinate system and the coordinates under the collimation detector coordinate system to obtain a dynamic mathematical model of the precise FSM and IRU positions, the collimation detector off-target amount, the two-dimensional adjustment angle of the IRU and the precise FSM positions, and the precise tracking camera off-target amount, solidifying the dynamic mathematical model in system hardware to realize corresponding dynamic closed-loop control, and inhibiting disturbance applied to a platform, for example, controlling the FSM or the IRU to rotate through the off-target amount on the detector.
In this embodiment, first, a ray trace model of the IRU, the fine FSM, the collimator detector, the fine tracking camera, and the optical component is established by combining the actual optical design of the system according to the coordinate transformation method such as rotation and reflection of the coordinates. And secondly, calibrating the mounting position of the optical component to obtain a fixed component coordinate transformation matrix in the model, and correcting the simplified model. And finally, finishing the inverse kinematics solution by means of the intermediate transition matrix to respectively obtain a dynamic mathematical model of the positions of the fine FSM and the IRU, the off-target quantity of the collimation detector, the two-dimensional adjustment angle of the IRU, the positions of the fine FSM and the off-target quantity of the fine tracking camera, and solidifying the model on an actual tracking system hardware platform to realize dynamic broadband disturbance suppression.
Aiming at the problem of different axes of a visual axis stabilizing system detector and an actuator based on IRU caused by the space limitation, the embodiment constructs a visual axis stabilizing system kinematics model based on a coordinate transformation method and an optical installation model, realizes closed-loop control of movable components in the visual axis stabilizing system, and provides technical support for a movable base photoelectric platform to realize high-precision visual axis stabilization.
In a second embodiment, the present embodiment is further defined by the IRU-based dynamic broadband disturbance suppression method in the first embodiment, where the optical component is further defined by the method specifically including:
the optical component consists of a first lens, a first reflecting mirror, a second lens, a third reflecting mirror, a spectroscope and a third lens;
As shown in fig. 3 in combination with the optical design layout in the practical system, the transmission path of the laser beam is as follows: the target light is reflected by the primary mirror 2 and the secondary mirror 3, then is incident on the fine FSM4 mirror surface, is reflected by the fine FSM4 mirror surface, then is sequentially incident on the spectroscope 10 after passing through the first lens 5, the first reflecting mirror 6, the second reflecting mirror 7, the second lens 8 and the third reflecting mirror 9, and has a reflection function on the target light, so that the target light enters the fine tracking camera 12 after being reflected by the spectroscope 10 through the third lens 11, and therefore, the two-dimensional adjustment angle of the IRU1 is generated by the common constraint of the current position of the fine FSM4 and the miss distance of the fine tracking camera 12.
The reference light is generated by the IRU1, and is similar to a target light path, the reference light is reflected by the primary mirror 2 and the secondary mirror 3, then is incident on the fine FSM4 mirror surface, is reflected by the fine FSM4 mirror surface, then is sequentially incident on the spectroscope 10 after passing through the first lens 5, the first reflector 6, the second reflector 7, the second lens 8 and the third reflector 9, and the spectroscope plays a transmission role on the reference light, so that the reference light enters the collimation detector 13 through the spectroscope 10, and therefore, the two-dimensional adjustment angle of the fine FSM4 is generated by the common constraint of the current position of the IRU1 and the miss distance of the collimation detector 13.
According to the embodiment, according to the existing space size limitation and weight constraint and combining with the actual optical system scheme, the transmission path of the target light in the system and the transmission path of the reference light in the system are designed, and the effect is that after the effect of the target light and the reference light passing through optical components in the system is met, the target light and the reference light are respectively detected by the fine tracking camera and the collimation detector, and meanwhile, the space required by the transmission of a laser link is shortened through the design of optical path transmission.
In a third embodiment, the present embodiment is further defined by the IRU-based dynamic broadband disturbance suppression method in the second embodiment, where step 10 is further defined and specifically includes:
In step 10, the acquiring the light ray a CCD incident on the fine tracking camera and the coordinates under the camera coordinate system specifically includes:
The ray a CCD incident on the fine tracking camera is:
Wherein T Lens 1, 、、T Lens 2、F spectroscope and T Lens 3 are respectively the first lens, the first reflector, the second lens, the third reflector, the spectroscope and the reflection matrix of the third lens; according to the x, y and z coordinates of the fine tracking camera coordinate system, orthogonalizing and unitizing to obtain a rotation matrix M CCD of the camera coordinate system, and converting the rotation matrix of the global coordinate system into the fine tracking camera coordinate system N CCD=MCCD -1; the fine tracking camera incident ray a CCD is represented in the global coordinate system as: Obtaining normalized incident light Q CCD; the coordinates in the camera coordinate system are obtained as follows: 。
In the embodiment, according to the position design distribution of the optical components in the optical design of the system, the light ray trace model of the target light is established by combining the transmission path of the target light in the optical system and based on the coordinate transformation methods such as rotation and reflection of coordinates. The method has the effects that a dynamic mathematical model of the two-dimensional adjustment angle of the IRU, the position of the fine FSM and the off-target quantity of the fine tracking camera is obtained through inverse solution of the optical link model, and the problems of non-parallel motion coordinate system and difficult control caused by optical design are solved.
In a fourth embodiment, the present embodiment is further defined by the IRU-based dynamic broadband disturbance suppression method according to the third embodiment, where step 10 is further defined and specifically includes:
in step 10, the acquiring the light a PSD incident on the collimating detector and the coordinates under the coordinate system of the collimating detector specifically includes:
The light ray a PSD incident on the collimation detector is:
;
according to the x, y and z coordinates of the collimation detector coordinate system, orthogonalization and unitization are carried out to obtain a rotation matrix M PSD which is converted into a global coordinate system by the collimation detector coordinate system, and the rotation matrix of the global coordinate system to the collimation detector coordinate is N PSD=MPSD -1; the incident ray a PSD on the collimated detector is represented in the global coordinate system as: obtaining normalized incident light ; The coordinates in the coordinate system of the collimation detector are obtained as follows:。
in the embodiment, according to the position design distribution of the optical components in the optical design of the system, the light ray tracing model of the reference light is established by combining the transmission path of the reference light in the optical path of the system based on the coordinate transformation methods such as rotation and reflection of coordinates. The method has the effects that a dynamic mathematical model of the accurate FSM, the IRU position and the off-target quantity of the collimation detector is obtained through the inverse solution of the optical link model, and the problems of non-parallel motion coordinate system and difficult control caused by optical design are solved.
In a fifth embodiment, the present embodiment is further defined by the IRU-based dynamic broadband disturbance suppression method in the first embodiment, where step 2 is further defined and specifically includes:
the formula of the rotation matrices S 1_sta and S 2_sta in step 2 is:
Wherein, ; The rotation vector of IRU along the x-axis isThe result after the normalization of the rotation vector along the x axis isThe rotation vector of IRU along the y-axis isThe result after the normalization of the rotation vector along the y axis is。
According to the motion deflection mode of the IRU, the position offset generated by the reference light caused by the rotation of the IRU around the azimuth axis (x axis) and the pitching axis (y axis) is analyzed, and the rotation matrix of the two axes of the IRU is provided.
In a sixth embodiment, the present embodiment is further defined by the IRU-based dynamic broadband disturbance suppression method in the first embodiment, where step 3 is further defined and specifically includes:
The formula of the normal vector N 1 and the reflection matrix R sta in step 3 is:
。
The embodiment combines with the actual system design, the reference light is generated by the IRU, and the IRU reflection matrix is constructed by combining with the rotation matrix of the two axes of the IRU, so that the dynamic mathematical model of the reference light transmission link can be more accurately built, and high-precision closed-loop control is realized.
In a seventh embodiment, the present embodiment is further defined by the IRU-based dynamic broadband disturbance suppression method in the first embodiment, where step 7 is further defined and specifically includes:
the formula of the rotation matrices S 1_FSM and S 2_FSM in step 7 is:
Wherein, ; The rotation vector of FSM along x-axis rotation isThe result after the normalization of the rotation vector along the x axis is; The rotation vector of FSM along y-axis rotation isThe result after the normalization of the rotation vector along the y axis is。
According to the motion deflection mode of the fine FSM, the position offset generated by target light and reference light which are incident on the fine FSM mirror surface due to the rotation of the fine FSM around an azimuth axis (x axis) and a pitching axis (y axis) is analyzed, and a rotation matrix of the fine FSM and the reference light is provided.
An eighth embodiment, as shown in fig. 2, is an example of a dynamic broadband disturbance suppression method based on IRU, which specifically includes:
The optical component designed in this embodiment mainly includes three types of lenses, a reflecting mirror and a beam splitter, and specifically includes a first lens, a first reflecting mirror, a second lens, a third reflecting mirror, a beam splitter and a third lens. The different systems have certain difference in light propagation paths in the optical design process, but the core idea is to seek a solution and a solution for the non-parallel coordinate axes caused by the deflection design of the optical path.
As shown in fig. 3 in combination with the optical design layout in the practical system, the transmission path of the laser beam is as follows: the target light is reflected by the primary mirror 2 and the secondary mirror 3, then is incident on the fine FSM4 mirror surface, is reflected by the fine FSM4 mirror surface, then is sequentially incident on the spectroscope 10 after passing through the first lens 5, the first reflecting mirror 6, the second reflecting mirror 7, the second lens 8 and the third reflecting mirror 9, and has a reflection function on the target light, so that the target light enters the fine tracking camera 12 after being reflected by the spectroscope 10 through the third lens 11, and therefore, the two-dimensional adjustment angle of the IRU1 is generated by the common constraint of the current position of the fine FSM4 and the miss distance of the fine tracking camera 12.
The reference light is generated by the IRU1, and is similar to a target light path, the reference light is reflected by the primary mirror 2 and the secondary mirror 3, then is incident on the fine FSM4 mirror surface, is reflected by the fine FSM4 mirror surface, then is sequentially incident on the spectroscope 10 after passing through the first lens 5, the first reflector 6, the second reflector 7, the second lens 8 and the third reflector 9, and the spectroscope plays a transmission role on the reference light, so that the reference light enters the collimation detector 13 through the spectroscope 10, and therefore, the two-dimensional adjustment angle of the fine FSM4 is generated by the common constraint of the current position of the IRU1 and the miss distance of the collimation detector 13.
According to the designed light path transfer relation, a dynamic mathematical model is constructed, and the specific construction process is as follows:
1) Setting the light vector of the incidence of the target light as ; Setting the light vector of IRU emergent reference light asIn matlab by formulaThe normalization result of the light vector can be obtainedNormal vector of IRU;
2) Let IRU rotate along x-axis as rotation vectorIn matlab by formulaThe normalized result of the rotation vector along the x-axis is obtained asLet the rotation vector of IRU rotating along y-axis beIn matlab by formulaThe normalized result of the rotation vector along the y-axis is obtained asSimultaneously, the rotation angles theta 1 and theta 2 of the IRU along the y axis of the x axis are combined to respectively obtain a rotation matrix S 1_sta rotating along the x axis and a rotation matrix S 2_sta rotating along the y axis.
Wherein:
3) The normal vector N 1 after IRU rotation and the reflection matrix R sta are thus obtained.
4) According to the mounting position of the optical component, the normal vector of the primary mirror is known asNormalized normal vector isThe normal vector of the secondary mirror isNormalized normal vector isThe primary mirror reflection matrix R pri and the secondary mirror reflection matrix R sec are obtained as follows:
5) From this, the light vector A 1 incident on the fine FSM is obtained as
6) Normal vector based on refined FSMIn matlab by formulaCan obtain normalized normal vector;
7) Let the rotation vector of FSM along x-axis rotation beIn matlab by formulaThe normalized result of the rotation vector along the x-axis is obtained asLet the rotation vector of FSM rotating along y-axis beIn matlab by formulaThe normalized result of the rotation vector along the y-axis is obtained asSimultaneously, the rotation angles alpha 1 and alpha 2 of the fine FSM along the y axis of the x axis are combined to respectively obtain a rotation matrix S 1_FSM rotating along the x axis and a rotation matrix S 2_FSM rotating along the y axis.
Wherein:
8) The normal vector N 4 and the reflection matrix R FSM after the fine FSM rotation can thus be obtained.
9) Similarly, according to the position design of each part included in the optical component, the reflection matrixes of the first lens, the first reflector, the second lens, the third reflector, the spectroscope and the third lens are respectively T Lens 1,、、T Lens 2、F spectroscope and T Lens 3.
10 Light ray a CCD incident on a fine tracking camera (CCD camera) is:
11 According to the x, y and z coordinates of the CCD camera coordinate system, orthogonalization and unitization are carried out to obtain a rotation matrix M CCD which is converted into a global coordinate system by the camera coordinate system, and the rotation matrix of the global coordinate system to the CCD coordinate is N CCD=MCCD -1. As can be seen from step 10, the CCD camera incident ray a CCD is represented in the global coordinate system as: in matlab by formula Normalized incident light ray Q CCD can be obtained; the coordinates in the camera coordinate system are thus obtained as:。
12 According to the optical design, the light ray a PSD incident on the collimated detector is:
13 And similarly, according to the x, y and z coordinates of the collimation detector coordinate system, orthogonalizing and unitizing to obtain a rotation matrix M PSD for converting the collimation detector coordinate system into a global coordinate system, and then the rotation matrix for converting the global coordinate system into the collimation detector coordinate system is N PSD=MPSD -1. From step 12, the incident light ray a PSD on the collimated detector is expressed as: in matlab by formula Can obtain normalized incident light; The coordinates in the coordinate system of the collimation detector can be obtained by the method:。
14 Respectively performing inverse decoupling on the lower coordinate of the camera coordinate system and the lower coordinate of the collimation detector coordinate system to obtain the dynamic mathematical relationship between the accurate FSM and the IRU position and the collimation detector off-target amount and the two-dimensional adjustment angle of the IRU and the accurate FSM position and the accurate tracking camera off-target amount;
15 The constructed dynamic mathematical model is solidified in system hardware to realize corresponding dynamic closed-loop control, and finally, the dynamic and broadband disturbance applied to the platform is restrained (closed-loop control).