基于SMDO的滑模控制器设计及其在导弹上的应用

doi:CNKI:11-1929/V.20101213.1745.001

Abstract

Abstract: A sliding mode controller (SMC) design approach based on the sliding mode disturbance observer (SMDO) is proposed. A class of cascade multiple-input multiple-output (MIMO) nonlinear system is separated into outer and inner loops based on the singular perturbation principle, and the controllers are designed in the two loops respectively. The robustness of the traditional saturation-function-based sliding mode controller is analyzed in the outer loop, and it is found to be weak in the presence of disturbances. To overcome this problem, together with the nominal sliding mode control law, SMDOs based on the super-twisting algorithm are designed to estimate and compensate for disturbances. Finally, the approach is applied to a missile control system design. The simulation results demonstrate that SMDO-based sliding mode controller (SMDO-SMC) effectively improves both the robustness and control performance of the control system.

Key words: sliding mode disturbance observer, sliding mode control, super-twisting algorithm, missiles, robust control

CLC Number:

ZENG Xianfa, WANG Jieyao, WANG Xiaohu, WANG Tiejun. Design of Sliding Mode Controller Based on SMDO and Its Application to Missile Control[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011, 32(5): 873-880.

References

[1] Young K D, Utikin V I, Özgüner V. A control engineer’s guide to sliding mode control[J]. IEEE Transactions on Control System Technology, 1999, 7(3): 328-342.

[2] Shtessel Y B, Shkolnikov I A, Brown M D J. An asymptotic second-order smooth sliding mode control[J]. Asian Journal of Control, 2003, 5(4): 498-503.

[3] Xu H J, Mirmirani M D, Ioiannou P A. Adaptive sliding mode control design for a hypersonic flight vehicle[J]. Journal of Guidance, Control, and Dynamics, 2004, 27(5): 829-838.

[4] Hess R A, Wells S R. Sliding mode control applied to reconfigurable flight control design[J]. Journal of Guidance, Control, and Dynamics, 2003, 26(3): 452-462.

[5] 丁世宏, 李世华. 空间飞行器姿态的有限时间跟踪控制方法[J]. 航空学报, 2007, 28(3): 628-633. Ding Shihong, Li Shihua. Finite time tracking control of spacecraft attitude[J]. Acta Aeronautica et Astronautica Sinica, 2007, 28(3): 628-633. (in Chinese)

[6] Shtessel Y B, Buffington J, Banda S. Multiple timescale flight control using reconfigurable sliding modes[J]. Journal of Guidance, Control, and Dynamics, 1999, 22(6): 873-883.

[7] Huang J, Lin C F. Application of sliding mode control to bank-to-turn missile systems//Proceedings of 1st IEEE Regional Conference on Aerospace Control Systems. 1993: 569-573.

[8] 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.

[9] Slotine J J E, Coetsee J A. Adaptive controller synthesis for nonlinear systems[J]. International Journal of Control, 1986, 43(6): 1631-1651.

[10] Naidu D S, Calise A J. Singular perturbations and time scales in guidance and control of aerospace systems: a survey[J]. Journal of Guidance, Control, and Dynamics, 2001, 24(6): 1057-1070.

[11] 高为炳. 变结构控制理论基础[M]. 北京: 中国科学技术出版社, 1990: 28-30. Gao Weibing. Theoretic foundation of variable structure control[M]. Beijing: Chinese Science and Technology Press, 1990: 28-30. (in Chinese)

[12] Levant A. Universal single-input-single-output (SISO) sliding mode controllers with finite-time convergence [J]. IEEE Transactions on Automatic Control, 2001, 46(9): 1447-1451.

[13] 钱杏芳, 林瑞雄, 赵亚男. 导弹飞行力学[M]. 北京: 北京理工大学出版社, 2003: 8-50. Qian Xingfang, Lin Ruixiong, Zhao Ya’nan. Missile flight dynamics[M]. Beijing: Beijing Institute of Technology Press, 2003: 8-50. (in Chinese)

[14] 曾宪法, 张磊, 申功璋. 基于动态逆和分散控制的导弹控制系统设计[J]. 北京航空航天大学学报, 2007, 33(11): 1303-1307. Zeng Xianfa, Zhang Lei, Shen Gongzhang. Design of control systems for missiles based on dynamic inversion and decentralized control[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(11): 1303-1307. (in Chinese)

[15] 郭锁凤, 申功璋, 吴成富, 等. 先进飞行控制系统[M]. 北京: 国防工业出版社, 2003: 246-290. Guo Suofeng, Shen Gongzhang, Wu Chengfu, et al. Advanced flight control system[M]. Beijing: National Defense Industry Press, 2003: 246-290. (in Chinese)

Design of Sliding Mode Controller Based on SMDO and Its Application to Missile Control

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Leyan FANG, Han MENG, Mingzhe HOU. Iterative learning sliding mode control with precise parameter estimation and its application [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(1): 628889-628889.
[2]	Qingrui ZHANG, Yunyun LIU, Huijie SUN, Bo ZHU. Robust cooperative tracking control for close formation of fixed⁃wing unmanned aerial vehicles [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(1): 629233-629233.
[3]	Kunda LIU, Xueming LIU, Bo ZHU, Qingrui ZHANG. Robust safe control for multi⁃UAV formation flight through narrow corridors [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): 729768-729768.
[4]	Xinyu HOU, Fan ZHANG, Panfeng HUANG, Xiaofei MA, Jialong ZHU, Yang LI. Integrated attitude and vibration control of space large antenna with truss [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S1): 727552-727552.
[5]	Xiaoyun SUN, Shufan WU, Qiang SHEN. LMI-based output tracking robust drag-free control with model reference adaptive scheme [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S1): 727654-727654.
[6]	Zheng LI, Jianqiao YU, Xinyun ZHAO. Fixed⁃time convergent sliding mode control for agile turn of air⁃to⁃air missiles [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(8): 327262-327262.
[7]	Yongzhi SHENG, Jiahao GAN, Chengxin ZHANG. Fractional order sliding mode guidance law design with trajectory adjustable and terminal angular constraint [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(7): 327073-327073.
[8]	Shihao XU, Yingzi GUAN, Jialun PU, Changzhu WEI. Predefined-time sliding mode control for VTHL launch vehicle in reentry phase [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(7): 326857-326857.
[9]	Zhongsen WANG, Yuxin LIAO, Caisheng WEI, Ting DAI. Fast terminal sliding mode fault⁃tolerant control of hypersonic vehicle with guaranteed performance [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(24): 328476-328476.
[10]	Xinyu ZHANG, Siyu XIE, Yang TAO, Gun LI. A robust control method for close formation of aerial-refueling UAVs [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(20): 628425-628425.
[11]	Xiao MENG, Dan MA, Hongjun LIN, Chao CHEN. Prescribed performance control of thermoacoustic instability in aero-engine combustion chambers [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(17): 128182-128182.
[12]	Bo LIU, Zhongjie MENG. Tanker/UAV formation tracking control with hose connection constraints [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(17): 328210-328210.
[13]	Hao ZHANG, Peng WANG, Guojian TANG, Weimin BAO. Event-triggered fast finite time control for hypersonic morphing vehicles [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(15): 528494-528494.
[14]	Haojian LI, Yuanhe LIU, Yangang LIANG, Kebo LI. Prescribed performance guidance law with field-of-view and impact angle constraints [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(15): 528764-528764.
[15]	Zikang SU, Zhongnan XU, Chuntao LI, Haitong CHEN, Honglun WANG. Modeling and docking control of UAV aerial recovery in form of telescopic boom [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 326315-326315.