Static output feedback control for discrete-time switched linear systems under arbitrary switching

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 2385-2390

  Ding, Da Wei ^a   Yang, Guang Hong ^a  

^a NORTHEASTERN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY SWITCHING; ARBITRARY SWITCHING LAWS; CLOSED-LOOP; DISCRETE-TIME; EXISTING METHOD; EXTERNAL DISTURBANCES; LMI-CONDITION; SPECIAL STRUCTURE; STATIC OUTPUT FEEDBACK; STATIC OUTPUT FEEDBACK CONTROL; SWITCHED LINEAR SYSTEM; SWITCHED QUADRATIC LYAPUNOV FUNCTION; SWITCHED SYSTEM;

CONTINUOUS TIME SYSTEMS; DIFFERENTIAL EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; SWITCHING SYSTEMS;

FEEDBACK;

EID: 70449633016     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5159930     Document Type: Conference Paper

References (25)

1. D. Liberzon and A. S. Morse, "Basic problems in stability and design of switched systems," IEEE Contrl. Syst. Mag., vol. 19, no. 5, pp.59- 70, 1999.
2. D. Liberzon, Switching in Systems and Control, Birkhauser, Boston, 2003.
3. R. A. Decarlo, M. S. Branicky, S. Pettersson, and B. Lennartson, "Perspectives and results on the stability and stabilizability of hybrid systems," Proceedings of the IEEE, Special issue on Hybrid Systems, P. J. Antsaklis Ed., vol. 88, no. 7, pp. 1069-1082, 2000.
4. Z. Sun and S. S. Ge, "Analysis and synthesis of switched linear control systems," Automatica, vol. 41, pp. 181-195, 2005.
5. Z. Sun and S. S. Ge, Switched Linear Systems: Control and Design, Springer-Verlag, 2005.
6. H. Lin and P. J. Antsaklis, "Stability and stabilizability of switched linear systems: a short survey of recent results", Proceedings of the 2005 IEEE International Symposium on Intelligent Control.
7. M. S. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,"IEEE Trans. Autmat. Contr., vol. 43, no. 4, pp. 475-482, 1998.
8. J. P. Hespanha, "Uniform stability of switched linear systems: extensions of LaSalle's invariance principle,"IEEE Trans. Autmat. Contr., vol. 49, no. 4, pp. 470-482, 2004.
9. J. Zhao and D. J. Hill, " On stability, L2-gain and H1 control for switched systems,"Automatica, Vol. 44, pp. 1220-1232 , 2008.
10. X.-M. Sun, J. Zhao and D. J. Hill, "Stability and L2-gain analysis for switched delay systems: A delay-dependent method," Automatica, Vol. 42, pp. 1769-1774, 2006.
11. J. C. Geromel and P. Colaneri, "Stability and stabilization of discrete time switched systems," Int. J. Contr., vol. 79, pp. 719-728, 2006.
12. J. C. Geromel, C. C. deSouza and R. E. Skelton, "Static output feedback controllers: Stability and convexity," IEEE Trans. Autmat. Contr., vol. 43, pp. 120-125, 1998.
13. C. A. R. Crusius and A. Trofino, "Sufficient LMI conditions for output feedback control problems," IEEE Trans. Autmat. Contr., vol. 44, pp. 1053-1057, 1999.
14. 2 and H∞ characterizations and controller parameterizations for discretetime systems," Int. J. Control, vol. 75, no. 9, pp.1131-1134, 2002.
15. D. Henrion and J. B. Lasserre, "Convergent relaxations of polynomial matrix inequalities and static output feedback," IEEE Trans. Autmat. Contr., vol. 51, pp. 192-202, 2006.
16. K. H. Lee, J. H. Lee and W. H. Kwon , "Sufficient LMI conditions for H∞ output feedback stabilization of linear discrete-time systems," IEEE Transactions on Automatic Control, vol. 51, no. 4, pp. 675-680, 2006.
17. J. Dong and G.-H. Yang,"Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties," IEEE Trans. Autmat. Contr., vol. 52, no. 10, pp. 1930-1936, 2007.
18. J. Dong and G.-H. Yang, "Robust static output feedback control for linear discrete-time systems with time-varying uncertainties", Systems Control Letters, Vol. 57, no. 2, pp. 123-131, 2008.
19. J. Daafouz, P. Riedinger and C. Iung, "Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach," IEEE Trans. Automat. Contr., Vol. 47, pp. 1883-1887, 2002.
20. J. Daafouz and J. Bernussou, "Robust dynamic output feedback control for switched systems," presented at the Conf. Decision Control, Las Vegas, USA, 2002.
21. L. Fang, H. Lin and P. J. Ansaklis, "Stabilization and performance analysis for a class of switched systems," presented at the Conf. Decision Control, Atlantis, USA, Dec. 14-17, 2004.
22. G. I. Bara and M. Boutyeb, "Switched output feedback stabilization of discrete-time switched systems," presented at the Conf. Decision Control, San Diego, USA, Dec. 12-15, 2006.
23. G. I. Bara, "Robust switched output feedback control for discrete-time switched linear systems," presented at the Conf. Decision Control, New Orleans, USA, Dec. 12-14, 2007.
24. S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory. Philadelphia, PA: SIAM, 1994.
25. P. Gahinet, A. Nemirovski, A. Laub and M. Chilali, The LMI Control Toolbox. Natick, MA: Mathworks, 1995.