三维非线性预设性能制导律设计

doi:10.12305/j.issn.1001-506X.2022.02.32

摘要/Abstract

摘要：

针对高速机动目标拦截, 提出了一种末制导阶段预设性能制导律。首先, 建立三维非线性拦截模型, 在俯仰和偏航两个平面中, 将期望视线角和视线角速率选做状态量设计滑模动态面, 在动态面控制的基础上, 将滑动模态误差利用误差转换函数转化为预设性能误差方程, 设计制导律, 驱动滑模变量按预设性能收敛。该制导律能使制导顺利进行, 满足终端视线角约束。然后, 考虑视线角速率测量误差以及目标信息不确定性, 建立有限时间干扰观测器, 保证了制导指令的执行。

关键词: 滑模控制, 预设性能控制, 干扰观测器, 三维制导律

Abstract:

A prescribed performance guidance law for the terminal guidance phase is proposed for the interception of high speed maneuvering targets. At first, construct a three dimensional nonlinear block model, pitch and yaw of the two plane, will expect angle of sight and line of sight angular rate selected as state variable dynamic sliding mode surface design, on the basis of the dynamic surface control, the sliding mode error using the conversion function into the default performance error equation, design guidance law, drive the sliding mode variable according to the prescribed convergence performance.It can make the guidance go smoothly and satisfy the terminal line of sight angle constraint.Then, considering the measurement error of line of sight angular rate and the uncertainty of target information, a finite time disturbance observer is established to ensure the execution of guidance instruction.

Key words: sliding mode control, prescribed performance control, disturbance observer, three dimensional guidance law

中图分类号:

V448.133

唐骁, 叶继坤, 李旭. 三维非线性预设性能制导律设计[J]. 系统工程与电子技术, 2022, 44(2): 619-627.

Xiao TANG, Jikun YE, Xu LI. Design of 3D nonlinear prescribed performance guidance law[J]. Systems Engineering and Electronics, 2022, 44(2): 619-627.

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参考文献 22

1	CHEN Z Y , CHEN W C , LIU X M , et al. Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint[J]. Aerospace Science and Technology, 2021, 110, 106523. doi: 10.1016/j.ast.2021.106523
2	WANG X , QIU X . Study on fuzzy neural sliding mode guidance law with terminal angle constraint for maneuvering target[J]. Mathematical Problems in Engineering, 2020, doi: 10.1155/2020/4597937
3	SHAO X Y , SUN G H , XUE C , et al. Nonsingular terminal sliding modecontrol for free-floating space manipulator with disturbance[J]. Acta Astronautica, 2021, 181, 396- 404. doi: 10.1016/j.actaastro.2021.01.038
4	HAO LI Y , ZHANG Y Q , LI H . Fault-tolerant control via integral sliding mode output feedback for unmanned marine vehicles[J]. Applied Mathematics and Computation, 2021, 401, 126078. doi: 10.1016/j.amc.2021.126078
5	NASIM U . Fractional order sliding mode control design for a buck converter feeding resistive power loads[J]. Mathematical Modelling of Engineering Problems, 2020, 7 (4): 649- 658. doi: 10.18280/mmep.070418
6	PUSHPANGATHAN J V , KANDATH H , BALAKRISHNAN A . Hit-to-kill accurate minimum time continuous second-order sliding mode guidance for worst-case target maneuvers[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2020, doi: 10.1177/54977
7	ZHANG W J , XIA Q L , LI W . Novel second-order sliding mode guidance law with an impact angle constraint that considers autopilot lag for intercepting manoeuvering targets[J]. The Aeronautical Journal, 2020, 124 (1279): 1350- 1370. doi: 10.1017/aer.2020.28
8	YANG F , ZHANG K Q , YU L , et al. Adaptive super-twisting algorithm-based nonsingular terminal sliding mode guidance law[J]. Journal of Control Science and Engineering, 2020, doi: 10.1155/2020/1058347
9	ZHAO F J , YOU H . New three-dimensional second-order sliding mode guidance law with impact-angle constraints[J]. The Aeronautical Journal, 2020, 124 (1273): 368- 384. doi: 10.1017/aer.2019.130
10	XU S , GAO M . A novel adaptive second-order nonsingular terminal sliding mode guidance law design[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2020, 234 (16): 2263- 2273.
11	SONG J , SONG S . Three-dimensional guidance law based on adaptive integral sliding mode control[J]. Chinese Journal of Aeronautics, 2016, 29 (1): 202- 214. doi: 10.1016/j.cja.2015.12.012
12	LI J , MA K F , WU Z J . Prescribed performance control for uncertain flexible-joint robotic manipulators driven by DC motors[J]. International Journal of Control, Automation and Systems, 2021, 19, 1640- 1650. doi: 10.1007/s12555-020-0311-2
13	尹依伊, 王晓芳, 田震, 等. 基于预设性能控制的多导弹编队方法[J]. 系统工程与电子技术, 2020, 42 (12): 2847- 2858. doi: 10.3969/j.issn.1001-506X.2020.12.22
	YIN Y Y , WANG X F , TIAN Z , et al. Multi-missile formation method based on preset performance control[J]. Systems Engineering and Electronics, 2020, 42 (12): 2847- 2858. doi: 10.3969/j.issn.1001-506X.2020.12.22
14	张超, 孙延超, 马广富, 等. 挠性航天器预设性能自适应姿态跟踪控制[J]. 哈尔滨工业大学学报, 2018, 50 (4): 1- 7.
	ZHANG C , SUN Y C , MA G F , et al. Adaptive attitude tracking control for flexible spacecraft with preset performance[J]. Journal of Harbin Institute of Technology, 2018, 50 (4): 1- 7.
15	李小兵, 赵思源, 王林. 基于非仿射模型的高超声速飞行器预设性能控制器[J]. 北京理工大学学报, 2020, 40 (10): 1094- 1101.
	LI X B , ZHAO S Y , WANG L . Preset performance controller for hypersonic vehicle based on non-affine model[J]. Journal of Beijing Institute of Technology, 2020, 40 (10): 1094- 1101.
16	BECHLIOULIS C P, ROVITHAKIS G A. Prescribed performance adaptive control of SISO feedback linearizable systems with disturbances[C]//Proc. of the IEEE 16th Mediterranean Conference on Control and Automation, 2008: 1035-1040.
17	韩京清. 自抗挠控制技术[M]. 北京: 国防工业出版社, 2008.
	HAN J Q . Adaptive torsion control technology[M]. Beijing: National Defense Industry Press, 2008.
18	周慧波. 基于有限时间和滑模理论的导引律及多导弹协同制导研究[D]. 哈尔滨: 哈尔滨工业大学, 2015.
	ZHOU H B. Research on guidance law and cooperative guidance of multiple missiles based on finite time and sliding mode theory[D]. Harbin: Harbin Institute of Technology, 2015.
19	CHU Z , MENG F , ZHU D , et al. Fault reconstruction using a terminal sliding mode observer for a class of second-order MIMO uncertain nonlinear systems[J]. ISA Transactions, 2020, 97, 67- 75. doi: 10.1016/j.isatra.2019.07.024
20	SHTESSEL Y, EDWARDS C, FRIDMAN L, et al. Conventional sliding mode observers[M]//Sliding Mode Control and Observation, New York: Birkhauser, 2014: 105-141.
21	王宇航, 姚郁, 马克茂. Fal函数滤波器的分析及应用[J]. 电机与控制学报, 2010, 14 (11): 88- 91. doi: 10.3969/j.issn.1007-449X.2010.11.015
	WANG Y H , YAO Y , MA K M . Analysis and application of Fal function filter[J]. Journal of Electric Machines and Control, 2010, 14 (11): 88- 91. doi: 10.3969/j.issn.1007-449X.2010.11.015
22	李军, 廖宇新, 李珺. 三维自适应有限时间超螺旋滑模制导律[J]. 系统工程与电子技术, 2021, 43 (3): 779- 788.
	LI J , LIAO Y X , LI J . Three-dimensional adaptive finite time superspiral sliding mode guidance law[J]. Systems Engineering and Electronics, 2021, 43 (3): 779- 788.

参数	数值
ρ_{0, 1}, ρ_{∞, 1}, l₁	2.2, 0.1, 2
ρ_{0, 2}, ρ_{∞, 2}, l₂	2.2, 0.2, 1.5

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