Electronics and Electrical Engineering and Control

Fixed-time convergent guidance law considering autopilot dynamics

  • ZHANG Kuanqiao ,
  • YANG Suochang ,
  • LI Baochen ,
  • LIU Chang
Expand
  • 1. Department of Missile Engineering, Shijiazhuang Campus of Army Engineering University, Shijiazhuang 050003, China;
    2. Department of Scientific Research, Army Engineering University, Nanjing 210000, China

Received date: 2019-06-19

  Revised date: 2019-07-15

  Online published: 2019-09-02

Abstract

A new guidance law considering the impact angle constraint, autopilot dynamic characteristics, and fixed-time convergence is designed for the guidance problem of attacking maneuvering targets. First, based on nonsingular terminal sliding mode control and fixed-time stability theory, the backstepping method is used to design the guidance law. In the process of the design, a nonsingular terminal sliding mode surface with fixed-time convergence is designed. Based on fixed-time control and sliding mode control, the virtual control law is designed and a nonlinear first-order filter is constructed to solve the problem of "differential expansion" in the traditional backstepping design. Based on the super-twisting algorithm and fixed-time stability theory, a fixed-time convergence sliding mode disturbance observer is designed to estimate the target maneuvering and other interferences. Then, based on the Lyapunov stability theory, the fixed-time stability of the guidance law is proved, and the expression for convergence time is given. Finally, the effectiveness of the proposed guidance law is verified by simulation analysis. Compared with the existing guidance laws, the proposed guidance law has higher guidance precision and angle constraint accuracy, faster system convergence speed, and less energy consumption.

Cite this article

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 . DOI: 10.7527/S1000-6893.2019.23227

References

[1] SONG J M, ZHANG T Q. Passive homing missile's variable structure proportional navigation with terminal angular constraint[J]. Chinese Journal of Aeronautics, 2001, 14(2):83-87.
[2] KUMAR S R, RAO S, GHOSE D. Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints[J]. Journal of Guidance, Control and Dynamics, 2012, 35(4):1230-1246.
[3] ZHOU D, SUN S, TEO K L. Guidance law with finite time convergence[J]. Journal of Guidance, Control and Dynamics, 2009, 32(6):1838-1846.
[4] ZHANG Y X, SUN M W, CHEN Z Q. Finite-time convergent guidance law with impact angle constraint based on sliding-mode control[J]. Nonlinear Dynamic, 2012, 70(1):619-625.
[5] YU X H, MAN Z H. Fast terminal sliding-mode control design for nonlinear dynamical systems[J]. IEEE Transactions on Circuits and Systems:Fundamental Theory and Applications, 2002, 49(2):261-264.
[6] SONG J, SONG S, GUO Y, et al. Nonlinear disturbance observer based fast terminal sliding mode guidance with impact angle constraints[J]. International Journal of Innovative Computing, Information and Control, 2015, 11(3):787-802.
[7] ZONG Q, ZHAO Z S, ZHANG J. Higher order sliding mode control with self-tuning law based on integral sliding mode[J]. IET Control Theory and Application, 2008, 4(7):1282-1289.
[8] SONG J H, SONG S M. Three-dimensional guidance law based on adaptive integral sliding mode control[J]. Chinese Journal of Aeronautics, 2016, 29(1):202-214.
[9] FENG Y, YU X H. Non-singular terminal sliding mode control of rigid manipulators[J]. Automatica, 2002, 38(12):2159-2167.
[10] SONG J H, SONG S M, ZHOU H B. Adaptive nonsingular fast terminal sliding mode guidance law with impact angle constraints[J]. International Journal of Control, Automation and Systems, 2016, 14(1):99-114.
[11] ZHANG X J, LIU M Y, LI Y. Nonsingular terminal sliding-mode-based guidance law design with impact angle constraints[J]. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 2019, 43(1):47-54.
[12] POLYAKOV A. Nonlinear feedback design for fixed-time stabilization of linear control systems[J]. IEEE Transactions on Automatic Control, 2012, 57(8):2106-2110.
[13] LI H, CAI Y. On SFTSM control with fixed-time convergence[J]. IET Control Theory & Applications, 2017, 11(6):766-773.
[14] ZHANG L, WEI C Z, WU R, et al. Fixed-time extended state observer based non-singular fast terminal sliding mode control for a VTVL reusable launch vehicle[J]. Aerospace Science and Technology, 2018, 82-83:70-79.
[15] 熊少锋, 王卫红, 王森. 带攻击角度约束的非奇异快速终端滑模制导律[J]. 控制理论与应用, 2014, 31(3):269-278. XIONG S F, WANG W H, WANG S. Nonsingular fast terminal sliding-mode guidance with intercept angle constraint[J]. Control Theory & Applications, 2014, 31(3):269-278(in Chinese).
[16] HE S M, LIN D F, WANG J. Continuous second-order sliding mode based impact angle guidance law[J]. Aerospace Science and Technology, 2015, 41:199-208.
[17] ZHANG N, GAI W D, ZHONG M Y, et al. A fast finite-time convergent guidance law with nonlinear disturbance observer for unmanned aerial vehicles collision avoidance[J]. Aerospace Science and Technology, 2019, 86:204-214.
[18] ZHANG H, HAN J, LUO C, et al. Fault-tolerant control of a nonlinear system based on generalized fuzzy hyperbolic model and adaptive disturbance observer[J]. IEEE Transactions on Systems Man Cybernetics-Systems, 2017, 47(8):2289-2300.
[19] YANG Z J. Robust control of nonlinear semi-strict feedback systems using finite-time disturbance observers[J]. International Journal of Robust and Nonlinear Control, 2017, 27(17):3582-3603.
[20] GONZALEZ A, BALAGUER V, GARCIA P, et al. Gain-scheduled predictive extended state observer for time-varying delays systems with mismatched disturbance[J]. ISA Transactions, 2019, 84:206-213.
[21] 熊少锋, 王卫红, 刘晓东, 等. 考虑导弹自动驾驶仪动态特性的带攻击角度约束制导律[J]. 控制与决策, 2015, 30(4):585-592. XIONG S F, WANG W H, LIU X D, et al. Impact angle guidance law considering missile's dynamics of autopilot[J]. Control and Decision, 2015, 30(4):585-592(in Chinese).
[22] SUN S, ZHOU D, HOU W T. A guidance law with finite time convergence accounting for autopilot lag[J]. Aerospace Science and Technology, 2013, 25(1):132-137.
[23] ZHOU D, QU P P, SUN S. A guidance law with terminal impact angle constraint accounting for missile autopilot[J]. Journal of Dynamic Systems, Measurement, and Control, 2013, 135(5):051009.
[24] QU P P, ZHOU D. A dimension reduction observer-based guidance law accounting for dynamics of missile autopilot[J]. Proceedings of the Institution of Mechanical Engineers, Part G:Journal of Aerospace Engineering, 2013, 227(7):1114-1121.
[25] HE S M, LIN D F, WANG J. Robust terminal angle constraint guidance law with autopilot lag for intercepting maneuvering targets[J]. Nonlinear Dynamics, 2015, 81(1-2):881-892.
[26] MEHDI G, IMAN M, AHMAD R V. Finite-time convergent guidance law based on integral backstepping control[J]. Aerospace Science and Technology, 2014, 39:370-376.
[27] ZHOU A M, Finite-time output feedback attitude tracking control for rigid spacecraft[J]. IEEE Transactions on Control Systems Technology, 2014, 22(1):338-345.
[28] LI B, HU Q L, YU Y B, et al. Observer-based fault-tolerant attitude control for rigid spacecraft[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(5):2572-2582.
[29] NI J K, LIU L, LIU C X, et al. Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system[J]. Nonlinear Dynamics, 2016, 86(1):401-420.
[30] WANG X, GUO J, TANG S J, et al. Fixed-time disturbance observer based fixed-time back-stepping control for an air-breathing hypersonic vehicle[J]. ISA Transactions, 2019, 88:233-245.
[31] JIANG B Y. HU Q L, FRISWELL M I. Fixed-time attitude control for rigid spacecraft with actuator saturation and faults[J]. IEEE Transactions on Control Systems Technology, 2016, 24(5):1892-1898.
[32] BASIN M, PANATHULA C B, SHTESSEL Y. Multivariable continuous fixed-time second-order sliding mode control:design and convergence time estimation[J]. IET Control Theory & Applications, 2017, 11(8):1104-1111.
[33] HALL C E, SHTESSEL Y B. Sliding mode disturbance observer-based control for a reusable launch vehicle[J]. Journal of Guidance, Control and Dynamics, 2006, 29(6):1315-1328.
[34] SHTESSEL Y, EDWARDS C, FRIDMAN L, et al. Sliding mode control and observation[M]. New York:Springer, 2014:155-158.
[35] UTKIN V. On convergence time and disturbance rejection of super-twisting control[J]. IEEE Transactions on Automatic Control, 2013, 58(8):2013-2017.
[36] SWAROOP D, HEDRICK J K, YIP P P, et al. Dynamic surface control for a class of nonlinear systems[J]. IEEE Transactions on Automatic Control, 2000, 45(10):1893-1899.
Outlines

/