Stabilization of nonlinear systems under arbitrary switching law

Proceedings of the 29th Chinese Control Conference, CCC'10

Volumn , Issue , 2010, Pages 641-643

  Fang, Jianyin ^a   Liu, Kai ^a  

^a HENAN INSTITUTE OF ENGINEERING   (China)

Author keywords

Arbitrary switching law; Feedback controller; Multiple Lyapunov functions; Switched system

Indexed keywords

ARBITRARY SWITCHING; FEEDBACK CONTROLLER; MULTIPLE LYAPUNOV FUNCTION; MULTIPLE LYAPUNOV FUNCTIONS; NONLINEAR SWITCHED SYSTEMS; RECURSIVE APPLICATIONS; SWITCHED SYSTEM;

BACKSTEPPING; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; LYAPUNOV FUNCTIONS; STABILIZATION; SWITCHING; SWITCHING FUNCTIONS; SWITCHING NETWORKS; SWITCHING SYSTEMS;

CONTROLLERS;

EID: 78650229207     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Z. Sun, D. Z. zheng, On reachability and stabilization of switched linear systems, IEEE Trans. Automat. Control, 2001, 46:291-295. (Pubitemid 32259330)
2. G. Xie, L. Wang, Controllability and stabilizability of switched linear systens, System Control Lett., 2003, 48:135-155.
3. Guangming Xie, D. Z. Zheng, L. Wang, Controllability of switched systens, IEEE Trans. Automat. Control, 2002, 47:1401-1405.
4. Z. Sun, S. S. Ge, T. H. Lee, Controllability and reachability criteria for switched linear systens, Automatica, 2002, 38(5):775-786.
5. K. S. Naendra, J. Balakishnan, A common Lyapunov function for stable LTI systems with commuting A-matrices, IEEE Trans. Automat. Control, 1994, 39:2469-2471.
6. D. Liberzon, J. P. Hespanha, A. S. Morse, Stability of switched systems: A Lie-algebraic condition, System Control Lett., 1999, 37(3):117-122. (Pubitemid 129608440)
7. D. Liberzon, A. S. Morse, Basic problems in stability and design of switched systems, IEEE Contr. Syst. Mag., 1999, 19:59-70. (Pubitemid 30505850)
8. H. Ye, A. N. Michel, L. Hou, Stability theory for hybrid dynamical systems, IEEE Trans. Automat. Control, 1998, 43; 461-474.
9. M. S. Branicky, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Control, 1998, 43:475-482.
10. B. Hu, X. Xu, P. J. Antsaklis, A. N. Michel, Robust stabilizing control laws for a class of second-order switched systems, System Control Lett., 1999, 38:197-207. (Pubitemid 129608452)
11. Z. G. Li, C. Y. Wen, Y. C. Soh, Stabilization of a class of switched systems via designing switching laws, IEEE Trans. Automat. Control, 2001, 46:665-670.
12. Daizhan Cheng, Lei Guo, Yuandan Lin, Yuan Wang, Stabilization of switched linear systems, IEEE Trans. Automat. Control, 2005, 50(5).
13. A. Bacciotti, L. Mazzi, An invariance principle for nonlinear switched systems, System Control Lett., 2005, 54:1109-1119.
14. João P. Hespanha, Uniform stability of switched linear systems: extension of LaSalle's invariance principle, IEEE Trans. Automat. Control, 2004, 48(4):470-482.
15. João P. Hespanha, Daniel Liberzon, David Angeli, E. D. Sontag, Nonlinear norm-observability notions and stability of switched systems, IEEE Trans. Automat. Control, 2005, 50(2):154-168.
16. Khalil, H.K., Nonlinear systems (2nd ed.), Prentice-Hall, NJ., 1996.