Combined stabilizing strategies for switched linear systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 4, 2006, Pages 666-674

  Sun, Zhendong ^a,b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Dwell time; Observer based switching; Robustness; Stabilization; State feedback switching; Switched systems

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; OBSERVABILITY; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SWITCHING SYSTEMS; SYSTEM STABILITY;

DWELL TIME; EVENT-DRIVEN SWITCHING; STATE-FEEDBACK SWITCHING; SWITCHED LINEAR SYSTEMS; TIME-DRIVEN SWITCHING;

LINEAR CONTROL SYSTEMS;

EID: 33645805660     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.872765     Document Type: Article

References (17)

1. M. S. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems," IEEE Trans. Autom. Control, vol. 43, no. 4, pp. 475-482, Apr. 1998.
2. J. Ezzine and A. H. Haddad, "Controllability and observability of hybrid systems," Int. J. Control, vol. 49, no. 6, pp. 2045-2055, 1989.
3. J. P. Hespanha, "Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle," IEEE Trans. Autom. Control, vol. 49, no. 4, pp. 470-482, Apr. 2004.
4. B. Hu, X. Xu, P. J. Antsaklis, and A. N. Michel, "Robust stabilizing control laws for a class of second-order switched systems," Syst. Control Lett., vol. 38, no. 3, pp. 197-207, 1999.
5. H. Ishii and B. A. Francis, "Stabilizing a linear system by switching control with dwell time," IEEE Trans. Autom. Control, vol. 47, no. 12, pp. 1962-1973, Dec. 2002.
6. H. K. Khalil, Nonlinear Systems, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1996.
7. A. N. Michel and B. Hu, "Toward a stability theory of general hybrid dynamical systems," Automatica, vol. 35, no. 3, pp. 371-384, 1999.
8. G. N. Nair and R. J. Evans, "Exponential stabilisability of finite-dimensional linear systems with limited data rates," Automatica, vol. 39, no. 4, pp. 585-593, 2003.
9. S. Pettersson and B. Lennartson, "Exponential stability of hybrid systems using piecewise quadratic Lyapunov functions resulting in an LMI problem," in Proc. 14th IFAC World Congr., Beijing, China, Jul. 1999.
10. A. V. Savkin and R. J. Evans, Hybrid Dynamical Systems: Controller and Sensor Switching Problems. Boston, MA: Birkhäuser, 2002.
11. C. Schwartz and A. H. Haddad, "Stability criteria for linear periodic switched systems," in Proc. Amer. Control Conf. 2003, 2003, pp. 3215-3219.
12. Z. Sun, "Stabilizability and insensitiveness of switched linear systems," IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1133-1137, Jul. 2004.
13. Z. Sun, "A robust stabilizing law for switched linear systems," Int. J. Control, vol. 77, no. 4, pp. 389-398, 2004.
14. Z. Sun and S. S. Ge, "Dynamic output feedback stabilization of a class of switched linear systems," IEEE Trans. Circuits Syst. I, vol. 50, no. 8, pp. 1111-1115, Aug. 2003.
15. Z. Sun and S. S. Ge, "Analysis and synthesis of switched linear control systems," Automatica, vol. 41, no. 2, pp. 181-195, 2005.
16. M. A. Wicks, P. Peleties, and R. A. DeCarlo, "Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems," Eur. J. Control, vol. 4, no. 2, pp. 140-147, 1998.
17. X. Xu and P. J. Antsaklis, "Stabilization of second-order LTI switched systems," Int. J. Control, vol. 73, no. 14, pp. 1261-1279, 2000.