Periodic stabilizability of switched linear control systems

Automatica

Volumn 45, Issue 9, 2009, Pages 2141-2148

  Xie, Guangming ^a   Wang, Long ^a  

^a Peking University   (China)

Author keywords

Observability; Observer; Periodic detectability; Periodic stabilizability; Reachability; Switched linear control systems (SLCSs)

Indexed keywords

OBSERVER; PERIODIC DETECTABILITY; PERIODIC STABILIZABILITY; REACHABILITY; SWITCHED LINEAR CONTROL SYSTEMS (SLCSS);

CONTINUOUS TIME SYSTEMS; CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; OBSERVABILITY; STABILIZATION; STATE FEEDBACK;

FEEDBACK;

EID: 68249156993     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.05.016     Document Type: Article

References (34)

1. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 43 4 (1998) 475-482
2. Bittanti S. Deterministic and stochastic linear periodic systems. Time series and linear systems (1986), Springe-Verlag, Berlin 141-182
3. Cheng D. Controllability of switched bilinear systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 50 4 (2005) 511-515
4. Cheng D., Guo L., Lin Y., and Wang Y. Stabilization of switched linear systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 50 5 (2005) 661-666
5. Cheng D., Lin Y., and Wang Y. Accessibility of switched linear systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 51 9 (2006) 1486-1491
6. Conner Jr. L.T., and Stanford D.P. State deadbeat response and observability in multi-modal systems. SIAM Journal on Control and Optimization 22 4 (1984) 630-644
7. Ezzine J., and Haddad A.H. Controllability and observability of hybrid systems. International Journal of Control 49 6 (1989) 2045-2055
8. Ge S.S., Sun Z., and Lee T.H. Reachability and controllability of switched linear discrete-time systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 46 9 (2001) 1437-1441
9. Ji Z., Guo X., Wang L., and Xie G. Robust H-infinity control and stabilization of uncertain switched linear systems: A multiple Lyapunov functions approach. Journal of Dynamic Systems Measurement and Control-Transactions of the ASME 128 3 (2006) 696-700
10. Ji Z., Wang L., and Guo X. Design of switching sequences for controllability realization of switched linear systems. Automatica 43 4 (2007) 662-668
11. Ji Z., Feng G., and Guo X. A constructive approach to reachability realization of discrete-time switched linear systems. Systems & Control Letters 56 11-12 (2007) 669-677
12. Johansson M., and Rantzer A. Computation of piecewise quadratic Lyapunov functions for hybrid systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 43 4 (1998) 555-559
13. Liberzon D., and Morse A.S. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine 19 5 (1999) 59-70
14. Savkin A.V., and Evans R.J. Hybrid dynamical systems: Controller and sensor switching problems (2002), Birkhauser, Bostion
15. Shorten R., Wirth F., Mason O., Wulff K., and King C. Stability criteria for switched and hybrid systems. SIAM Review 49 4 (2007) 545-592
16. Skelton R.E., Iwasaki T., and Grigoriadis K. A unified approach to linear control design. Taylor and Francis series in Systems and Control (1997)
17. Stanford D.P. Stability for a multi-rate sampled-data system. SIAM Journal on Control and Optimization 17 3 (1979) 391-399
18. Sun, Z. (2004). Canonical forms of switched linear control systems. In Proceedings of American control conference (pp. 5182-5187)
19. Sun Z., Ge S.S., and Lee T.H. Controllability and reachability criteria for switched linear systems. Automatica 38 5 (2002) 775-786
20. Sun Z., and Ge S.S. Dynamic output feedback stabilization of a class of switched linear systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 50 8 (2003) 1111-1115
21. Sun Z., and Ge S.S. Analysis and synthesis of switched linear control systems. Automatica 41 9 (2005) 181-195
22. Sun, Z., & Ge, S. S. (2005b). Switched stabilization of higher-order switched linear systems. In Proceedings of the 44th IEEE CDC (pp. 4873-4878)
23. Sun Z., and Ge S.S. Switched linear systems. control and design series: Communications and control engineering (2005), Springer-Verlag
24. Sun Z., and Zheng D. On stabilization of switched linear control systems. IEEE AC 46 2 (2001) 291-295
25. Sun X., Zhao J., and Hill D.J. Stability and L2-gain analysis for switched delay systems: A delay-dependent method. Automatica 42 10 (2006) 1769-1774
26. Sun Y., Wang L., and Xie G. Necessary and sufficient conditions for stabilization of discrete-time planar switched systems. Nonlinear Analysis-Theory Methods and Applications 65 5 (2006) 1039-1049
27. Sun Y., Wang L., Xie G., and Yu M. Improved overshoot estimation in pole placements and its application in observer-based stabilization for switched systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 51 12 (2006) 1962-1966
28. Wonham W.M. Linear multivariable control: A geometric approach (1985), Springer-Verlag, Berlin
29. Xie, G., & Wang, L. (2002). Necessary and sufficient conditions for controllability of switched linear systems. In Proc. of American Control Conference (pp. 1897-1902)
30. Xie G., and Wang L. Controllability and stabilizability of switched linear systems. Systems & Control Letters 48 2 (2003) 135-155
31. Xie G., and Wang L. Reachability realization and stabilizability of switched linear discrete-time systems. Journal of Mathematical Analysis and Applications 280 2 (2003) 209-220
32. Xie, G., & Wang, L. (2009). Switched control systems, technical report I. Peking University.
33. Zhao J., and Hill D.J. Dissipativity theory for switched systems. Institute of Electrical and Electronics Engineers Transactions on Automatic Control 53 4 (2008) 941-953
34. Zhao J., and Hill D.J. Passivity and stability of switched systems: A multiple storage function method. Systems and Control Letters 57 2 (2008) 158-164