Robust reliable control of switched uncertain systems with time-varying delay

International Journal of Systems Science

Volumn 37, Issue 15, 2006, Pages 1077-1087

  Yang, S ^a   Zhengrong, X ^a   Qingwei, C ^a   Weili, H ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Parameter uncertainty; Robust reliable control; Switched systems; Time delay

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUST CONTROL; SWITCHING SYSTEMS; TIME DELAY; TIME VARYING SYSTEMS;

PARAMETER UNCERTAINTY; ROBUST RELIABLE CONTROL; SWITCHED DELAY SYSTEMS;

UNCERTAIN SYSTEMS;

EID: 34548456359     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720600879658     Document Type: Article

References (21)

1. P.J. Antsaklis, "Special issue on hybrid systems: theory and applications a brief introduction to the theory and applications of hybrid systems", in Proceedings of the IEEE, Vol. 88, 2000, pp. 879-886.
2. M.S. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems", IEEE Transactions on Automatic Control, 43, pp. 475-482, 1998.
3. Y.Y. Cao, J. Lam and Y. Sun, "Static output feedback stabilization: an ILMI approach", Automatica, 34, pp. 1641-1645, 1998.
4. B. Chen and X. Liu, "Reliable control design of fuzzy dynamic systems with time varying delay", Fuzzy Sets and Systems, 146, pp. 349-374, 2004.
5. J. Daafouz, P. Riedinger and C. Lung, "Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach", IEEE Transactions on Automatic Control, 47, pp. 1883-1887, 2002.
6. M. Dogruel and U. Ozgunzer, "Stability of hybrid systems", in Proceedings of IEEE Int. Symposium, on Intelligent Control, Columbus, Ohio, USA, 1994, pp. 129-134.
7. M. Heymann, F. Lin, G. Meyer and S. Resmerita, "Analysis of zeno behaviors in a class of hybrid systems", IEEE Transactions on Automatic Control, 50, pp. 376-383, 2005.
8. M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems", IEEE Transactions on Automatic Control, 43, pp. 555-559, 1998.
9. E. Kim and S. Kim, "Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: continuous case", IEEE Transactions on Fuzzy Systems, 10, pp. 391-400, 2002.
10. X.D. Koutsoukos, P.J. Antsaklis, J. Stiver and M.D. Lemmon, "Supervisory control of hybrid systems", in Proceedings of the IEEE, Vol. 88, 2000, pp. 1026-1049.
11. D. Liberzon and A.S. Morse, "Basic Problems in stability and design of switched systems", IEEE Control System Magazine, 19, pp. 59-70, 1999.
12. Z. Sun and S.S. Ge, "Analysis and synthesis of switched linear control systems", Automatica, 41, pp. 181-195, 2005.
13. R.J. Veilette, J.V. Medanic and W.R. Perkins, "Design of reliable control systems", IEEE Transactions on Automatic Control, 37, pp. 290-304, 1992.
14. Y. Wang, G. Xie and L. Wang, "Controllability of switched time delay systems under constrained switching", Journal of Mathematical Analysis and Applications, 286, pp. 397-421, 2003.
15. Z. Wang, B. Huang and H. Unbehausen, "Robust reliable control for a class of uncertain nonlinear state-delayed systems", Automatica, 35, pp. 955-963, 1999.
16. 2-gain analysis and control synthesis of uncertain switched systems", IEE Proceedings of Control Theory and Applications, 151, pp. 21-28, 2004.
17. ∞-controller design for linear systems", Automatica, 37, pp. 717-725, 2001.
18. G.H. Yang, S.Y. Zhang, J. Lam and J. Wang, "Reliable control using redundant controllers", IEEE Transactions on Automatic Control, 43, pp. 1588-1593, 1998.
19. G. Zhai, H. Lin and P.J. Antsaklis, "Quadratic stabilizability of switched linear systems with polytopic uncertainties", International Journal of Control, 76, pp. 747-753, 2003a.
20. 2 gain analysis for switched symmetric systems with time delay under arbitrary switching", in IEEE Proceeding of the Symposium on Circuits and Systems, Bangkok, Thailand, 2003b, pp. 220-223.
21. J. Zhang, K. Johansson, J. Lygeros and S. Sastry, "Zeno hybrid systems", International Journal of Robust and Nonlinear Control, 11, pp. 435-451, 2001.