Prescribed performance filter backstepping control of hypersonic vehicle with full state constraints

LI Yaping; WANG Fang; ZHOU Chao

doi:10.7527/S1000-6893.2020.23857

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2020 , Vol. 41 >Issue 11: 623857 - 623857

DOI: https://doi.org/10.7527/S1000-6893.2020.23857

Special Topic of Guidance and Control Technology for Aerospace Vehicles

Prescribed performance filter backstepping control of hypersonic vehicle with full state constraints

LI Yaping ,
WANG Fang ,
ZHOU Chao

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1. School of Science, Yanshan University, Qinhuangdao 066004, China;
2. Ocean College, Hebei Agricultural University, Qinhuangdao 066003, China

Received date: 2020-01-31

Revised date: 2020-03-03

Online published: 2020-06-24

Supported by

National Natural Science Foundation of China(61503323); Natural Science Foundation of Hebei Province(F2020203105,F2017203130)

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Abstract

A prescribed performance backstepping control strategy based on a fixed time disturbance observer is designed for a hypersonic vehicle with uncertain aerodynamic parameters and full state constraints. Firstly, the barrier Lyapunov function is introduced into every step of the backstepping control to guarantee that the system states meet the preset constraints. Secondly, a fixed-time disturbance observer is designed to estimate the lumped uncertainty. Meanwhile, a novel first-order filter is developed to avoid the problem of "explosion of terms" inherent in traditional backstepping control. In the framework of the Lyapunov stability theory, it is proved that the tracking error is bounded and that all states satisfy the constraint requirements. Finally, the effectiveness of the control strategy is verified through compared simulation.

Key words： hypersonic vehicles; prescribed performance control; state constraints; barrier Lyapunov functions; fixed-time disturbance observers

Cite this article

LI Yaping , WANG Fang , ZHOU Chao . Prescribed performance filter backstepping control of hypersonic vehicle with full state constraints[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020 , 41(11) : 623857 -623857 . DOI: 10.7527/S1000-6893.2020.23857

References

[1] GUO Z Y, GUO J, ZHOU J. Adaptive attitude tracking control for hypersonic reentry vehicles via sliding mode based coupling effect-triggered approach[J]. Aerospace Science and Technology, 2018, 78:228-240.
[2] BOLENDER M A, DOMAN D B. Nonlinear longitudinal dynamical model of an air-breathing hypersonic vehicle[J]. Journal of Spacecraft and Rockets, 2012, 44(2):374-387.
[3] ZHANG Z, HU J. Stability analysis of a hypersonic vehicle controlled by the characteristic model based adaptive controller[J]. Science China Information Sciences, 2012, 55(10):2243-2256.
[4] WANG X C, ZHAO H, MA K M. Kinematics analysis of a novel all-attitude flight simulator[J]. Science China Information Sciences, 2010, 53(2):236-247.
[5] ZONG Q, WANG J, TAO Y. Adaptive high-order dynamic sliding mode control for a flexible air-breathing hypersonic vehicle[J]. International Journal of Robust and Nonlinear Control, 2013, 23(15):1718-1736.
[6] 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):321801. LUO C X, ZHANG D Y, LEI H M, et al. Robust backstepping control of input-constrained hypersonic vehicle[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(4):321801(in Chinese).
[7] 王建敏, 吴云洁, 董小萌. 基于滑模干扰观测器的高超声速飞行器滑模控制[J]. 航空学报, 2015, 36(6):2027-2036. WANG J M, WU Y J, DONG X M. Sliding mode control for hypersonic flight vehicle with sliding mode disturbance observer[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(6):2027-2036(in Chinese).
[8] 王肖, 郭杰, 唐胜景, 等. 吸气式高超声速飞行器鲁棒非奇异终端滑模反步控制[J]. 航空学报, 2017, 38(3):320287. WANG X, GUO J, TANG S J, et al. Robust nonsingular sliding mode backstepping control for hypersonic vehicle[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(3):320287(in Chinese).
[9] 刘向东, 王亮, 朱纪立. 巡航段高超声速飞行器的高阶指数时变滑模飞行控制器设计[J]. 宇航学报, 2011, 32(9):1945-1952. LIU X D, WANG L, ZHU J L. Exponential time-varying sliding mode flight control design for a hypersonic cruise air vehicle[J]. Journal of Astronautics, 2011, 32(9):1945-1952(in Chinese).
[10] HU Q, MENG Y. Adaptive backstepping control for air-breathing hypersonic vehicle with actuator dynamics[J]. Aerospace Science and Technology, 2017, 67:412-421.
[11] 吴雨珊, 江驹, 甄子洋, 等. 基于回馈递推的可变翼高超声速飞行器智能非线性控制[J]. 哈尔滨工程大学学报, 2016, 37(7):963-968. WU Y S, JIANG J, ZHEN Z Y, et al. Intelligent nonlinear control for the hypersonic vehicle based on the backstepping method[J]. Journal of Harbin Engineering University, 2016, 37(7):963-968(in Chinese).
[12] BU X W, WU X Y, YONG Y X, et al. Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle[J]. Journal of the Franklin Institute, 2015, 352(4):1739-1765.
[13] GUO Q, ZHANG Y, CELLER B, et al. Backstepping control of electro-hydraulic system based on extended state observer with plant dynamics largely unknown[J]. IEEE Transactions on Industrial Electronics, 2016, 63(11):6909-6920.
[14] SUN H B, LI S H, GUO L. Non-linear disturbance observer-based back-stepping control for air-breathing hypersonic vehicles with mismatched disturbances[J]. IET Control Theory and Applications, 2014, 8(17):1852-1865.
[15] LIU Y F, PU Z Q, YI J Q. Observer-based robust adaptive T2 fuzzy tracking control for flexible air-breathing hypersonic vehicles[J]. IET Control Theory and Applications, 2018, 12(8):1036-1045.
[16] GUO Z Y, CHANG J, GUO J G, et al. Adaptive twisting sliding mode algorithm for hypersonic reentry vehicle attitude control based on finite-time observer[J]. ISA Transactions, 2018, 77:20-29.
[17] WANG J, ZONG Q, SU R, et al. Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle[J]. ISA Transactions, 2014, 53(3):690-698.
[18] DOU L Q, SU P H, ZONG Q, et al. Fuzzy disturbance observer-based dynamic surface control for air-breathing hypersonic vehicle with variable geometry inlets[J]. IET Control Theory and Applications, 2018, 12(1):10-19.
[19] ZHANG R M, SUN C Y, ZHANG J M, et al. Second-order terminal sliding mode control for hypersonic vehicle in cruising flight with sliding mode disturbance observer[J]. Journal of Control Theory and Applications, 2013, 11(2):299-305.
[20] WANG Y Y, HU J B. Improved prescribed performance control for air-breathing hypersonic vehicles with unknown deadzone input nonlinearity[J]. ISA Transactions, 2018, 79:95-17.
[21] BU X, WU X, HUANG J, et al. Robust estimation-free prescribed performance back-stepping control of air-breathing hypersonic vehicles without affine models[J]. International Journal of Control, 2016, 80(11):2185-2200.
[22] BU X W, WEI D Z, WU X Y, et al. Guaranteeing preselected tracking quality for air-breathing hypersonic non-affine models with an unknown control direction via concise neural control[J]. Journal of the Franklin Institute, 2016, 353(13):3207-3232.
[23] ZHAO H W, LIANG Y, YANG X X, et al. Prescribed performance fine attitude control for a flexible hypersonic vehicle with unknown initial errors:Prescribed performance, fine attitude control, flexible hypersonic vehicle[J]. Asian Journal of Control, 2017, 20(1):2357-2369.
[24] WANG P F, WANG J, SHI J M, et al. Prescribed performance back-stepping robustness control of a flexible hypersonic vehicle[J]. Electric Machines and Control, 2017, 21(2):94-102.
[25] FIORENTINI L, SERRANI A, BOLENDER A, et al. Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles[J]. Journal of Guidance Control and Dynamics, 2009, 32(2):402-417.
[26] SERRANI A, YURKOVICH S, BOLENDER M A, et al. Control-oriented modeling of an air-breathing hypersonic vehicle[J]. Journal of Guidance Control and Dynamics, 2007, 30(3):856-869.
[27] FIORENTINI L, SERRANI A, BOLENDER M A, et al. Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles[J]. Journal of Guidance Control and Dynamics, 2009, 32(2):402-417.
[28] ZONG Q, WANG F, TIAN B L, et al. Robust adaptive dynamic surface control design for a fiexible air-breathing hypersonic vehicle with input constraints and uncertainty[J]. Nonlinear Dynamics, 2014, 78:289-315.
[29] 王芳, 高雅丽, 张政, 等. 输出误差约束下四旋翼无人机预定性能反步控制[J/OL]. 控制与决策,(2019-12-31)[2020-1-20]. http://doi.org/10.13195/j.kzyjc.2019.1249. WANG F, GAO Y L, ZHANG Z, et al. Prescribed performance backstepping control for quadrotor UAV with output error constraint[J/OL]. Control and Decision, (2019-12-31)[2020-1-20]. https://doi.org/10.13195/j.kzyjc.2019.1249(in Chinese).
[30] CRUZ-ZAVALA E, MORENO J, FRIDMAN L. Uniform robust exact differentiator[J]. IEEE Transactions on Automatic Control, 2011, 56(11):2727-2733.
[31] YOU M, ZONG Q, TIAN B, et al. Comprehensive design of uniform robust exact disturbance observer and fixed-time controller for reusable launch vehicles[J]. IET Control Theory and Applications, 2018, 12(5):638-648.

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