Robust Reliable Control for a class of Uncertain Switched Linear Systems
Автор: Junfeng Lu, Zhongming Wu, Yonggang Jia, Xinrui Zhu
Журнал: International Journal of Image, Graphics and Signal Processing(IJIGSP) @ijigsp
Статья в выпуске: 2 vol.3, 2011 года.
Бесплатный доступ
This paper is concerned with the problem of robust reliable H∞ control for a class of uncertain switched systems with disturbances and also with actuator failures among a prespecified subset of actuator. Both state matrix and output matrix contain time-varying norm-bounded parameter uncertainties. The purpose of this problem is to design robust feedback-reliable controllers and a switching law such that the systems remain globally quadratically stable and H∞ performance not only when all actuators are operational, but also when some actuators experience failures. A design approach based on LMI(linear matrix inequality) method and convex combination technique is proposed to solve the problem addressed. Finally, simulation results illustrate the validity of designed controllers and the switching law.
Uncertain switched systems, robust control, reliable control, convex combination, disturbances
Короткий адрес: https://sciup.org/15012118
IDR: 15012118
Список литературы Robust Reliable Control for a class of Uncertain Switched Linear Systems
- Skaf Idas E, Evans R J, Savkin A V, et al. “Stability results for switched controller systems,” Automatic, vol. 35, no. 4, pp. 553-564, 1999.
- M. S. Branicky, “Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,” IEEE Transactions on Automatic Control, vol. 43, no. 4, pp. 475-482, 1998.
- Golli & P. Varaiya, “Hybrid dynamical systems,” In proceedings of 28th IEEE Conference on Decision and Control, Tampa, Florida, USA, pp. 2708-2712, 1989.
- Varaiya P, “Smart cars on smart roads: problems of control,” IEEE Transactions on Automatic Control, vol. 38, no. 2, pp. 195-207, 1993.
- Tomlin C, Pappas G J, Sastry S, “Conflict resolution for air traffic management: a study in multiagent hybrid systems,” IEEE Transactions on Automatic Control, vol. 43, no. 4, pp. 509-521, 1998.
- Cong S, Fei S M, Li T, “Exponential stability analyze for the switched system with time delay: multiple Lyapunov functions approach,” Acta Automatica Sinica, vol. 33, no. 9, pp. 985-988, 2007. (in China)
- SONG Yang, XIANG Zhengrong, HU Weili, “Robust control of discrete switched system with time-delay,” Electric Machines And Control, vol. 10, no. 4, pp. 385-388, 2006. (in China)
- ZHANG Xiao-li, LIU Yu-zhong, ZHAO Jun, “Robust Control of a Class of Switched Systems,” Journal of Northeastern University (Natural Science), vol. 21, no. 5, pp. 498-500, 2000. (in China)
- Hong Xiaofeng, Sun Hongfei, “Study on Fault-tolerant Control of Switched Systems,” Journal of Xiamen University (Natural Science), vol. 46, no. 2, pp. 183-186, 2007. (in China)
- Wang Rui, Zhao Jun, “Reliable Robust Control for a Class of Uncertain Switched Nonlinear Systems,” Journal of Northeastern University (Natural Science), vol. 26, no. 8, pp. 715-717, 2005. (in China)
- Zhengrong Xiang, Ronghao Wang, “Robust reliable control for uncertain switched nonlinear systems with time delay,” Proceedings of the 7th World Congress on Intelligent Control and Automation, Chongqing, China, pp. 5487-5491, 2008.
- Chang-Hua Lien, Ker-Wei Yu, Yen-Feng Lin, Yeong-Jay Chung, Long-Yeu Chung, “Robust reliable H∞ control for uncertain nonlinear systems via LMI approach,” Applied Mathematics and Computation, vol. 198, pp. 453-462, 2007.
- MA Guo-liang, CHEN Qing-wei, HU Wei-li, “ H∞ robust control for a class of switched systems based on common Lyapunov function,” Systems Engineering and Electronics, vol. 28, no. 7, pp. 1043-1050, 2006. (in China)
- B. Yao, F. Z.Wang, “LMI approach to reliable control of linear systems,” Journal of Systems Engineering and Electronics, vol. 17, no. 2, pp. 381-386, 2006.
- Xie D, Wang L, and Hao F, “Robust stability analysis and control synthesis for discrete-time uncertain switched systems,” Proceedings of the 42nd IEEE Conference on Decision and Control, pp.4812-4817, 2003.
