基于全驱系统方法的制导控制一体化设计

doi:10.7527/S1000-6893.2023.28891

Abstract

Abstract:

Aiming at the problem of high frequency oscillation of instantaneous overload of high maneuvering target and uncertain time-varying of line-of-sight angle at the end of guidance， an integrated design scheme of guidance and control based on fully actuated system and backstepping method is proposed in this paper. Firstly， considering the maneuvering characteristics of the target， a second-order strict feedback guidance and control integrated nonlinear model is established， which eliminates the intermediate process quantity， simplifies the modeling and calculation process， and designs a reduced-order state observer to estimate and compensate the system disturbance. Secondly， under the framework of backstepping method， combined with the high-order fully actuated system method， the guidance control law with interception angle constraint is designed. Finally， the pole assignment method is used to obtain the control coefficient matrix of the closed-loop system， and the Lyapunov function is introduced to prove the stability of the system. The effectiveness， superiority and robustness of the designed guidance and control integration scheme are proved by different scenarios and comparative simulation experiments.

Key words: high-order fully actuated system, integrated guidance and control, interception angle constraint, backstepping control, reduced-order extended state observer

CLC Number:

V249.1

Hongyan ZHANG, Wei WANG, Shiwei CHEN, Yi JI, Jiaqi LIU. Integrated guidance and control design based on fully actuated system method[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(1): 628891-628891.

Figures/Tables 20

Fig.1

Table 1

Initial conditions of missile and target

参数	取值
初始弹目相对距离 $r 0 / m$	$5 000$
初始弹目视线角 $q 0 / (°)$	$30$
导弹初始位置坐标 $x M (0), y M (0) / m$	$0,0$
目标初始位置坐标 $x T (0), y T (0) / m$	$2 5003, 2 500$
导弹速度 $V M / (m ⋅ s - 1)$	$600$
目标速度 $V T / (m ⋅ s - 1)$	$300$
导弹初始弹道角 $θ M 0 / (°)$	$60$
目标初始航向角 $θ T 0 / (°)$	$0$
导弹初始攻角 $α 0 / (°)$	$0$
初始俯仰角 $ϑ 0 / (°)$	$0$
初始俯仰角速率 $ω z 0 / ((°) · s - 1)$	$0$

Table 1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Table 2

Parameters of GTSMS controller

$α 0$	$β 0$	$p 0$	$q 0$	$φ$	$γ$	$λ$	$η$
1	0.01	5	3	0.35	0.001	1	3

Table 2

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Table 3

Simulation results of Monte Carlo shooting tests

统计指标	最大值	均值	标准差
导弹脱靶量/m	0.379 5	0.012 9	0.113 6
弹目视线角误差/ $(°)$	0.186 8	0.001 4	0.037 8

Table 3

Fig.16

Fig.17

References 29

1	纪毅，王伟，张宏岩，等. 面向高机动目标拦截任务的空空导弹制导方法综述［J］. 航空兵器， 2022， 29（6）： 15-25.
	JI Y， WANG W， ZHANG H Y， et al. A survey on guidance method of air-to-air missiles facing high maneuvering targets［J］. Aero Weaponry， 2022， 29（6）： 15-25 （in Chinese）.
2	WANG X X， LAN G， LU H Q， et al. Three-dimensional integrated guidance and control with input saturation and impact angle constraints［J］. Aerospace Science and Technology， 2022， 127： 107727.
3	盛永智，甘佳豪，张成新. 弹道可调的落角约束分数阶滑模制导律设计［J］. 航空学报， 2023， 44（7）： 327073.
	SHENG Y Z， GAN J H， ZHANG C X. Fractional order sliding mode guidance law design with trajectory adjustable and terminal angular constraint［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（7）： 327073 （in Chinese）.
4	姚郁，郑天宇，贺风华，等. 飞行器末制导中的几个热点问题与挑战［J］. 航空学报， 2015， 36（8）： 2696-2716.
	YAO Y， ZHENG T Y， HE F H， et al. Several hot issues and challenges in terminal guidance of flight vehicles［J］. Acta Aeronautica et Astronautica Sinica， 2015， 36（8）： 2696-2716 （in Chinese）.
5	WANG J N， DING X J， CHEN Y D， et al. Field-of-view constrained three-dimensional impact angle control guidance for speed-varying missiles［J］. IEEE Transactions on Aerospace and Electronic Systems， 2022， 58（5）： 3992-4003.
6	张宽桥，刘连照，马晖，等. 考虑攻击角约束和输入饱和的制导控制一体化设计［J］. 弹道学报， 2021， 33（3）： 9-18.
	ZHANG K Q， LIU L Z， MA H， et al. Design on integrated guidance and control considering the constraint of impact angle and input saturation［J］. Journal of Ballistics， 2021， 33（3）： 9-18 （in Chinese）.
7	WILLIAMS D， RICHMAN J， FRIEDLAND B. Design of an integrated strapdown guidance and control system for a tactical missile［C］∥Proceedings of the Guidance and Control Conference. Reston： AIAA， 1983.
8	李政，于剑桥，赵新运. 空空导弹敏捷转弯固定时间收敛滑模控制［J］. 航空学报， 2023， 44（8）： 327262.
	LI Z， YU J Q， ZHAO X Y. Fixed-time convergent sliding mode control for agile turn of air-to-air missiles［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（8）： 327262 （in Chinese）.
9	GUO J G， PENG Q， GUO Z Y. SMC-based integrated guidance and control for beam riding missiles with limited LBPU［J］. IEEE Transactions on Aerospace and Electronic Systems， 2021， 57（5）： 2969-2978.
10	CHANG J， GUO Z Y， CIESLAK J， et al. Integrated guidance and control design for the hypersonic interceptor based on adaptive incremental backstepping technique［J］. Aerospace Science and Technology， 2019， 89： 318-332.
11	LIANG L C， ZHAO B， ZHOU J， et al. Impact angle controlled integrated guidance and control with input and state constraints［J/OL］. International Journal of Control，（2023-03-18）［2023-04-16］. .
12	ZHANG W G， YI W J. Composite adaptive dynamic programming for missile interception systems with multiple constraints and less sensor requirement［J］. ISA Transactions， 2021， 117： 40-53.
13	SUN B， VAN KAMPEN E J. Reinforcement-learning-based adaptive optimal flight control with output feedback and input constraints［J］. Journal of Guidance， Control， and Dynamics， 2021， 44（9）： 1685-1691.
14	段广仁. 飞行器控制的伪线性系统方法：第一部分：综述与问题［J］. 宇航学报， 2020， 41（6）： 633-646.
	DUAN G R. Quasi-linear system approaches for flight vehicle control—Part 1： An overview and problems［J］. Journal of Astronautics， 2020， 41（6）： 633-646 （in Chinese）.
15	DUAN G R. High-order fully actuated system approaches： Part I. Models and basic procedure［J］. International Journal of Systems Science， 2021， 52（2）： 422-435.
16	DUAN G R. High-order fully actuated system approaches： Part II. Generalized strict-feedback systems［J］. International Journal of Systems Science， 2021， 52（3）： 437-454.
17	XIAO F Z， CHEN L Q. Attitude control of spherical liquid-filled spacecraft based on high-order fully actuated system approaches［J］. Journal of Systems Science and Complexity， 2022， 35（2）： 471-480.
18	LIU W Z， DUAN G R， HOU M Z. High-order command filtered adaptive backstepping control for second- and high-order fully actuated strict-feedback systems［J］. Journal of the Franklin Institute， 2023， 360（6）： 3989-4015.
19	LIU G Q， ZHANG K， LI B. Fully-actuated system approach based optimal attitude tracking control of rigid spacecraft with actuator saturation［J］. Journal of Systems Science and Complexity， 2022， 35（2）： 688-702.
20	刘明，范睿超，邱实，等. 基于全驱系统理论的航天器姿轨预设性能控制［J］. 航空学报， 2024， 45（1）： 628313.
	LIU M， FAN R C， QIU S， et al. Spacecraft attitude-orbit prescribed performance control based on fully actuated system approach［J］. Acta Aeronautica et Astronautica Sinica， 2024， 45（1）： 628313 （in Chinese）.
21	CHEN S W， WANG W， FAN J F， et al. Impact angle constraint guidance law using fully-actuated system approach［J］. Aerospace Science and Technology， 2023， 136： 108220.
22	安通，王鹏，王建华，等. 弹性高超声速飞行器动态面制导控制一体化设计方法［J］. 系统工程与电子技术， 2022， 44（3）： 956-966.
	AN T， WANG P， WANG J H， et al. Integrated guidance and control schemes for dynamic surface of flexible hypersonic vehicles［J］. Systems Engineering and Electronics， 2022， 44（3）： 956-966 （in Chinese）.
23	LI Z B， DONG Q L， ZHANG X Y， et al. Impact angle-constrained integrated guidance and control for supersonic skid-to-turn missiles using backstepping with global fast terminal sliding mode control［J］. Aerospace Science and Technology， 2022， 122： 107386.
24	WU T， SHI S Y， ZHANG D， et al. On backstepping control for a class of multiple uncertain systems with reduced-order ESO［J］. International Journal of Control， 2023， 96（2）： 309-320.
25	SHAO X L， WANG H L. Back-stepping active disturbance rejection control design for integrated missile guidance and control system via reduced-order ESO［J］. ISA Transactions， 2015， 57： 10-22.
26	赵斌，梁乐成，蒋瑞民，等. 终端角度约束制导及制导控制一体化方法综述［J］. 宇航学报， 2022， 43（5）： 563-579.
	ZHAO B， LIANG L C， JIANG R M， et al. Review of guidance and integrated guidance and control methods under terminal angle constraints［J］. Journal of Astronautics， 2022， 43（5）： 563-579 （in Chinese）.
27	DUAN G R. High-order fully actuated system approaches： Part III. Robust control and high-order backstepping［J］. International Journal of Systems Science， 2021， 52（5）： 952-971.
28	DUAN G R. High-order fully actuated system approaches： Part VII. Controllability， stabilisability and parametric designs［J］. International Journal of Systems Science， 2021， 52（14）： 3091-3114.
29	王晓海，孟秀云，周峰，等. 基于偏置比例导引的落角约束滑模制导律［J］. 系统工程与电子技术， 2021， 43（5）： 1295-1302.
	WANG X H， MENG X Y， ZHOU F， et al. Sliding mode guidance law with impact angle constraint based on bias proportional navigation［J］. Systems Engineering and Electronics， 2021， 43（5）： 1295-1302 （in Chinese）.

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[7]	ZHANG Kuanqiao, YANG Suochang, LI Baochen, LIU Chang. Fixed-time convergent guidance law considering autopilot dynamics [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(11): 323227-323227.
[8]	JIANG Shang, TIAN Fuqing, SUN Shiyan, LIANG Weige. Design of integrated guidance and control in space with multiple constraints of rolling naval gun guided projectile [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(10): 323101-323101.
[9]	ZHANG Tao, LI Jiong, Wang Huaji, LEI Humin, YE Jikun. Attitude control of near space kinetic kill vehicle based on neural network backtepping control [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(8): 321953-321953.
[10]	LUO Changxin, ZHANG Dongyang, LEI Humin, BU Xiangwei, YE Jikun. Robust backstepping control of input-constrained hypersonic vehicle [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(4): 321801-321801.
[11]	WANG Jianhua, LIU Luhua, WANG Peng, TANG Guojian. Integrated guidance and control scheme for hypersonic vehicles in dive phase [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(3): 320328-320328.
[12]	WANG Songyan, SUN Xiangyu, YANG Shengjiang, CHAO Tao. Integrated guidance and control design considering input saturation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(10): 320897-320897.
[13]	WANG Qian, LI Qing, CHENG Nong, SONG Jingyan. A nonlinear fault tolerant flight control method against structural damage [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(2): 637-647.
[14]	YI Ke, CHEN Jian, LIANG Zixuan, REN Zhang, LI Qingdong. Integration control of semi-strapdown coordinator stable tracking and missile body attitude [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(12): 3752-3763.
[15]	ZHANG Bo, ZHOU Zhou, ZHU Xiaoping. Attitude control of fly wing UAV with multi-boundary state constraints [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(9): 3105-3115.

Integrated guidance and control design based on fully actuated system method

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