考虑输入受限的高超声速飞行器非奇异固定时间自适应切换控制

doi:10.12305/j.issn.1001-506X.2023.05.24

Abstract

Abstract:

A singularity-free fixed-time adaptive switching control strategy is proposed for hypersonic flight vehicles subject to input saturation, uncertainties of aerodynamic parameters and slow convergence rate of tracking errors. Firstly, the longitudinal dynamics model of hypersonic flight vehicles is decomposed into velocity subsystem and altitude subsystem, then the singularity-free fixed-time tracking controller is designed separately. In order to solve the singular value problem of traditional fixed-time controller, a new differentiable switching function is designed, which switches control laws with tracking error as the decision quantity, ensuring the differentiability of virtual control laws and the feasibility of back-stepping design. Aiming at the input saturation problem of hypersonic flight vehicles, a fixed-time auxiliary error compensation system is designed, which improves the error convergence rate of compensation signals from exponential convergence to fixed-time convergence. Then, with the help of the Lyapunov theorem, it is proved that the velocity tracking error, altitude tracking error and estimation error of approximator converge to arbitrarily small neighborhood of origin within fixed-time. Finally, simulations results validate the effectiveness and superiority of the proposed controller.

Key words: hypersonic flight vehicle (HFV), fixed-time stability, input saturation, singularity-free switching control, neural network

CLC Number:

V448

Zehong DONG, Yinghui LI, Maolong LYU, Zhe LI, Binbin PEI. Singularity-free fixed-time adaptive switching control for hypersonic flight vehicle with input constraints[J]. Systems Engineering and Electronics, 2023, 45(5): 1476-1488.

Figures/Tables 14

Fig.1

Table 1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

References 39

1	DONG Z H , LI Y H , LYU M L , et al. Adaptive accurate tracking control of HFVs in the presence of dead-zone and hysteresis input nonlinearities[J]. Chinese Journal of Aeronautics, 2021, 34 (5): 642- 651. doi: 10.1016/j.cja.2020.10.028
2	PARKER J T , SERRANI A , YURKOVICH S , et al. Control-oriented modeling of an air-breathing hypersonic vehicle[J]. Journal of Guidance Control and Dynamics, 2007, 30 (3): 856- 869. doi: 10.2514/1.27830
3	岳彩红, 唐胜景, 郭杰, 等. 高超声速伸缩式变形飞行器再入轨迹快速优化[J]. 系统工程与电子技术, 2021, 43 (8): 2232- 2243.
	YUE C H , TANG S J , GUO J , et al. Reentry trajectory rapid optimization for hypersonic telescopic deformable vehicle[J]. Systems Engineering and Electronics, 2021, 43 (8): 2232- 2243.
4	郭建国, 苏亚鲁. 高超飞行器自适应动态规划的控制系统设计[J]. 系统工程与电子技术, 2021, 43 (6): 1628- 1635.
	GUO J G , SU Y L . Control system design of adaptive dynamic programming for hypersonic vehicle[J]. Systems Engineering and Electronics, 2021, 43 (6): 1628- 1635.
5	ZHAO H W , LI R . Typical adaptive neural control for hypersonic vehicle based on higher-order filters[J]. Journal of Systems Engineering and Electronics, 2020, 31 (5): 1031- 1040. doi: 10.23919/JSEE.2020.000077
6	晁涛, 王雨潇, 王松艳, 等. 考虑非最小相位特性的高超声速飞行器轨迹跟踪控制[J]. 系统工程与电子技术, 2018, 40 (7): 1548- 1553.
	CHAO T , WANG Y X , WANG S Y , et al. Trajectory tracking control for non-minimum phase hypersonic vehicles[J]. Systems Engineering and Electronics, 2018, 40 (7): 1548- 1553.
7	XU B , WANG X , SHI Z K . Robust adaptive neural control of nonminimum phase hypersonic vehicle model[J]. IEEE Trans.on Systems, Man, and Cybernetics: Systems, 2021, 51 (2): 1107- 1115. doi: 10.1109/TSMC.2019.2894916
8	BU X W , LEI H M , GAO Y P . Robust tracking control of hypersonic flight vehicles: a continuous model-free control app-roach[J]. Acta Astronautica, 2019, 161, 234- 240. doi: 10.1016/j.actaastro.2019.05.039
9	LI Z Y , ZHOU W J , LIU H . Robust controller design of non-minimum phase hypersonic aircrafts model based on quantitative feedback theory[J]. Journal of the Astronautical Sciences, 2019, 67, 137- 163.
10	HE X , JIANG W , JIANG C S . Robust controller designing for an air-breathing hypersonic vehicle with an HOSVD-based LPV model[J]. International Journal of Aerospace Engineering, 2021, 2021, 7570059.
11	LIANG S , XU B , REN J R . Kalman-filter-based robust control for hypersonic flight vehicle with measurement noises[J]. Aerospace Science and Technology, 2021, 112, 106566. doi: 10.1016/j.ast.2021.106566
12	SHENG Y Z , BAI W J , XIE Y W . Fractional-order PI^λD sliding mode control for hypersonic vehicles with neural network disturbance compensator[J]. Nonlinear Dynamics, 2021, 103 (1): 849- 863. doi: 10.1007/s11071-020-06046-y
13	SHOU Y X , XU B , LIANG X H , et al. Aerodynamic/reaction-jet compound control of hypersonic reentry vehicle using sliding mode control and neural learning[J]. Aerospace Science and Technology, 2021, 111, 106564. doi: 10.1016/j.ast.2021.106564
14	ZHANG X F , HU W J , WEI C S , et al. Nonlinear disturbance observer based adaptive super-twisting sliding mode control for generic hypersonic vehicles with coupled multisource distur-bances[J]. European Journal of Control, 2021, 57, 253- 262. doi: 10.1016/j.ejcon.2020.06.001
15	王肖, 郭杰, 唐胜景, 等. 吸气式高超声速飞行器鲁棒非奇异Terminal滑模反步控制[J]. 航空学报, 2017, 38 (3): 194- 206.
	WANG X , GUO J , TANG S J , et al. Robust nonsingular terminal sliding mode backstepping control for air-breathing hypersonic vehicles[J]. Astronautica Sinica, 2017, 38 (3): 194- 206.
16	BASIN M V , YU P , SHTESSEL Y B . Hypersonic missile adaptive sliding mode control using finite-and fixed-time obser-vers[J]. IEEE Trans.on Industrial Electronics, 2017, 65 (1): 930- 941.
17	HU Q L , MENG Y . Adaptive backstepping control for air-breathing hypersonic vehicle with actuator dynamics[J]. Aerospace Science and Technology, 2017, 67, 412- 421. doi: 10.1016/j.ast.2017.04.022
18	赵贺伟, 梁勇, 杨秀霞. 弹性高超声速飞行器抗输入饱和动态神经网络控制[J]. 系统工程与电子技术, 2017, 39 (4): 854- 865.
	ZHAO H W , LIANG Y , YANG X X . Anti-input windup dynamic neural networks control for flexible hypersonic vehicles[J]. System Engineering and Electronics, 2017, 39 (4): 854- 865.
19	PENG Z H , WANG J . Output-feedback path-following control of autonomous underwater vehicles based on an extended state observer and projection neural networks[J]. IEEE Trans.on Systems, Man, and Cybernetics: Systems, 2018, 48 (4): 535- 544. doi: 10.1109/TSMC.2017.2697447
20	DONG Z H , LI Y H , XU H J , et al. Fixed-time neural control for hypersonic flight vehicles with asymmetric time-varying constraints[J]. Journal of Physics: Conference Series, 2021, 1966 (1): 012050. doi: 10.1088/1742-6596/1966/1/012050
21	BU X W , WU X Y , MA Z , et al. Novel auxiliary error compensation design for the adaptive neural control of a constrained flexible air-breathing hypersonic vehicle[J]. Neurocomputing, 2016, 171, 313- 324. doi: 10.1016/j.neucom.2015.06.058
22	LIU C , DONG C Y , ZHOU Z J , et al. Barrier Lyapunov function based reinforcement learning control for air-breathing hypersonic vehicle with variable geometry inlet[J]. Aerospace Science and Technology, 2020, 96, 105537. doi: 10.1016/j.ast.2019.105537
23	HAN X , ZHENG Z Z , LIU L , et al. Online policy iteration ADP-based attitude-tracking control for hypersonic vehicles[J]. Aerospace Science and Technology, 2020, 106, 106233. doi: 10.1016/j.ast.2020.106233
24	WANG G, AN H, GUO Z Y, et al. Deep reinforcement learning-based backstepping control of air-breathing hypersonic vehicles with actuator constraints[C]//Proc. of the 40th Chinese Control Conference, 2021: 7599-7603.
25	MU C X , NI Z , SUN C Y , et al. Air-breathing hypersonic vehicle tracking control based on adaptive dynamic programming[J]. IEEE Trans.on Neural Networks and Learning Systems, 2017, 28 (3): 584- 598. doi: 10.1109/TNNLS.2016.2516948
26	SUN J L , YI J Q , PU Z Q , et al. Adaptive fuzzy nonsmooth backstepping output-feedback control for hypersonic vehicles with finite-time convergence[J]. IEEE Trans.on Fuzzy Systems, 2020, 28 (10): 2320- 2334. doi: 10.1109/TFUZZ.2019.2934934
27	TANG X N , ZHAI D , LI X J . Adaptive fault-tolerance control based finite-time backstepping for hypersonic flight vehicle with full state constrains[J]. Information Sciences, 2019, 507, 53- 66.
28	WANG X , GUO J , TANG S J , et al. Fixed-time disturbance observer based fixed-time backstepping control for an air-breathing hypersonic vehicle[J]. ISA Transactions, 2018, 88, 233- 245.
29	DING Y B , WANG X G , BAI Y L , et al. Robust fixed-time sliding mode controller for flexible air-breathing hypersonic vehicle[J]. ISA Transactions, 2019, 90, 1- 18. doi: 10.1016/j.isatra.2018.12.043
30	YU X , LI P , ZHANG Y M . The design of fixed-time observer and finite-time fault-tolerant control for hypersonic gliding vehicles[J]. IEEE Trans.on Industrial Electronics, 2018, 65 (5): 4135- 4144. doi: 10.1109/TIE.2017.2772192
31	FARRELL J , POLYCARPOU M M , SHARMA M . Backstepping-based flight control with adaptive function approximatio n[J]. Journal of Guidance Contro l and Dynamics, 2005, 28 (6): 1089- 1102. doi: 10.2514/1.13030
32	骆长鑫, 张东洋, 雷虎民, 等. 输入受限的高超声速飞行器鲁棒反演控制[J]. 航空学报, 2018, 39 (4): 213- 225.
	LUO C X , ZHANG D Y , LEI H M , et al. Robust backstepping control of input-constrained hypersonic vehicle[J]. Astronautica Sinica, 2018, 39 (4): 213- 225.
33	刘晓东, 黄万伟, 禹春梅. 含扩张状态观测器的高超声速飞行器动态面姿态控制[J]. 宇航学报, 2015, 36 (8): 916- 922.
	LIU X D , HUANG W W , YU C M . Dynamic surface attitude control for hypersonic vehicle containing extended state obser-ver[J]. Journal of Astronautics, 2015, 36 (8): 916- 922.
34	ZHANG X Y , ZONG Q , DOU L Q , et al. Improved finite-time command filtered backstepping fault-tolerant control for flexible hypersonic vehicle[J]. Journal of the Franklin Insti-tute, 2020, 357 (13): 8543- 8565. doi: 10.1016/j.jfranklin.2020.05.017
35	XU B , SHOU Y X , LUO J , et al. Neural learning control of strict-feedback systems using disturbance observer[J]. IEEE Trans.on Neural Networks and Learning Systems, 2019, 30 (5): 1296- 1307. doi: 10.1109/TNNLS.2018.2862907
36	SUN J L , YI J Q , PU Z Q , et al. Fixed-time sliding mode disturbance observer-based nonsmooth backstepping control for hypersonic vehicles[J]. IEEE Trans.on Systems, Man, and Cybernetics: Systems, 2020, 50 (11): 4377- 4386. doi: 10.1109/TSMC.2018.2847706
37	BA D S , LI Y X , TONG S C . Fixed-time adaptive neural tracking control for a class of uncertain nonstrict nonlinear systems[J]. Neurocomputing, 2019, 363 (21): 273- 280.
38	YANG H J , YE D . Adaptive fixed-time bipartite tracking consensus control for unknown nonlinear multi-agent systems: an information classification mechanism[J]. Information Sciences, 2018, 459, 238- 254.
39	NI J K , WU Z H , LIU L , et al. Fixed-time adaptive neural network control for nonstrict-feedback nonlinear systems with deadzone and output constraint[J]. ISA Transactions, 2019, 97, 458- 473.

状态变量	初始值
V/(ft/s)	7 700
h/ft	85 000
γ/(°)	0
θ/(°)	1.632 5
Q/(°/s)	0
$ \eta_1$(ft slugs^0.5/ft)	0.97
$ \dot{\eta}_1$(ft/s slugs^0.5/ft)	0
$ \eta_2$(ft slugs^0.5/ft)	0.796 7
$ \dot{\eta}_2$(ft/s slugs^0.5/ft)	0

[1]	Lecheng LIANG, Bin ZHAO, Jun ZHOU, Wanli ZHAO. Integrated guidance and control method against aerial target with partial constraints [J]. Systems Engineering and Electronics, 2023, 45(4): 1134-1143.
[2]	Zihan SHEN, Xiubin ZHAO, Chuang ZHANG, Liang ZHANG, Xinxian LIU. Adaptive fault-tolerant method based on long-short term memory neural network [J]. Systems Engineering and Electronics, 2023, 45(3): 831-838.
[3]	Rui WANG, Tianqi ZHANG, Zeliang AN, Xueyi WANG, Zhu FANG. Modulation recognition algorithm for MIMO-OFDM system based on joint characteristic parameters and one-dimensional CNN [J]. Systems Engineering and Electronics, 2023, 45(3): 902-912.
[4]	Xiaojia YAN, Weige LIANG, Gang ZHANG, Bo SHE, Fuqing TIAN. Prediction method for mechanical equipment based on RCNN-ABiLSTM [J]. Systems Engineering and Electronics, 2023, 45(3): 931-940.
[5]	Shihui WU, Yu ZHOU, Zhengxin LI, Xiaodong LIU, Bo HE. Approach to simulation optimization of time-varying parameters system based on neural network [J]. Systems Engineering and Electronics, 2023, 45(2): 472-480.
[6]	Botao SONG, Guangliang XU. Missile trajectory prediction method based on LSTM and 1DCNN [J]. Systems Engineering and Electronics, 2023, 45(2): 504-512.
[7]	Xiuxia YANG, Zijie JIANG, Yi ZHANG, Cong WANG. Three dimensional real-time rolling optimal guidance strategy for maneuvering targets [J]. Systems Engineering and Electronics, 2023, 45(2): 546-558.
[8]	Yuhang LUO, Yanxi CHEN, Kunyi GUO, Xinqing SHENG, Jing MA. Target parameter extraction based on neural network and scattering center model [J]. Systems Engineering and Electronics, 2023, 45(1): 9-14.
[9]	Shuang SONG, Yue ZHANG, Linna ZHANG, Yigang CEN, Yidong LI. Lightweight target detection algorithm based on deep learning [J]. Systems Engineering and Electronics, 2022, 44(9): 2716-2725.
[10]	Qian NIE, Lihua YANG, Bo HU, Lulu REN. Time-varying channel prediction method based on LSTM neural networks under basis expansion model [J]. Systems Engineering and Electronics, 2022, 44(9): 2971-2977.
[11]	Jian WANG, Zihao HE, Jie LIU, Ke YANG. Image fusion algorithm based on gradient domain guided filtering and improved PCNN [J]. Systems Engineering and Electronics, 2022, 44(8): 2381-2392.
[12]	Caiyun WANG, Yida WU, Jianing WANG, Lu MA, Huanyue ZHAO. SAR image target recognition based on combinatorial optimization convolutional neural network [J]. Systems Engineering and Electronics, 2022, 44(8): 2483-2487.
[13]	Guan WANG, Haizhong RU, Dali ZHANG, Guangcheng MA, Hongwei XIA. Design of intelligent control system for flexible hypersonic vehicle [J]. Systems Engineering and Electronics, 2022, 44(7): 2276-2285.
[14]	Cheng FAN, Buhong WANG, Jiwei TIAN. Node classification of airline network based on the graph convolution network model with multi-task learning [J]. Systems Engineering and Electronics, 2022, 44(7): 2341-2349.
[15]	Guodong JIN, Yuanliang XUE, Lining TAN, Jiankun XU. Advances in object tracking algorithm based on siamese network [J]. Systems Engineering and Electronics, 2022, 44(6): 1805-1822.

Singularity-free fixed-time adaptive switching control for hypersonic flight vehicle with input constraints

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 14

References 39

Related Articles 15

Recommended Articles

Metrics

Comments