A robust stabilizing law for switched linear systems

International Journal of Control

Volumn 77, Issue 4, 2004, Pages 389-398

  Sun, Zhendong ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK; FINITE ELEMENT METHOD; LARGE SCALE SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

PERTURBED SYSTEMS; SWITCHING LAWS; SWITCHING SIGNALS;

LINEAR SYSTEMS;

EID: 2342424614     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170410001667468     Document Type: Article

References (17)

1. DECARLO, R. A., BRANICKY, M. S., PETTERSSON, S., and LENNARTSON, B., 2000, Perspective and results on the stability and stabilizability of hybrid systems. Proceedings of IEEE, 88, 1069-1082.
2. FERON, E., 1996, Quadratic stabilizability of switched systems via state and output feedback. Center for Intelligent Control Systems, Massachusetsts Institute of Technology, Technical Report CICS-P-468.
3. FEUER, A., GOODWIN, G. C., and SALGADO, M., 1997, Potential benefits of hybrid control for linear time invariant plants. Proceedings of American Control Conference, Albuquerque, New Mexico, USA, pp. 2790-2794.
4. HESPANHA, J. P., and MORSE, A. S., 1999, Stabilization of nonholonomic integrators via logic-based switching. Automatica, 35, 385-393.
5. HU, B., ZHAI, G., and MICHEL, A. N., 2002, Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems. International Journal of Control, 75, 1127-1135.
6. KHALIL, H. K., 1996, Nonlinear Systems (Second Edition) (Upper Saddle River: Prentice Hall).
7. KOUTSOUKOS, X. D., and ANTSAKLIS, P. J., 2002, Design of stabilizing switching control laws for discrete- and continuous-time linear systems using piecewise-linear Lyapunov functions. International Journal of Control, 75, 932-945.
8. LEITH, D., SHORTEN, R., LEITHEAD, W., MASON, O., and CURRAN, P., 2003, Issues in the design of switched linear control systems: A benchmark study. International Journal of Adaptive Control, 17, 103-118.
9. LEONESSA, A., HADDAD, W. M., and CHELLABOINA, V., 2001, Nonlinear system stabilization via hierarchical switching control. IEEE Transactions on Automatic Control, 46, 17-28.
10. LIBERZON, D., and MORSE, A. S., 1999, Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19, 59-70.
11. MCCLAMROCH, N. H., and KOLMANOVSKY, I., 2000, Performance benifits of hybrid control design for linear and nonlinear systems. Proceedings of IEEE, 88, 1083-1096.
12. MORSE, A. S., 1996, Supervisory control of families of linear set-point controllers - Part 1: Exact matching. IEEE Transactions on Automatic Control, 41, 1413-1431.
13. NARENDRA, K. S., and BALAKRISHNAN, J., 1997, Adaptive control using multiple models. IEEE Transactions on Automatic Control, 42, 171-187.
14. SUN, Z., and GE, S. S., 2003, Dynamic output feedback stabilization of a class of switched linear systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50, 1111-1115.
15. WICKS, M. A., PELETIES, P., and DECARLO, R. A., 1994, Construction of piecewise Lyapunov functions for stabilizing switched systems. Proceedings of IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, pp. 3492-3497.
16. WICKS, M. A., PELETIES, P., and DECARLO, R. A., 1998, Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems. European Journal of Control, 4, 140-147.
17. XU, X., and ANTSAKLIS, P. J., 2000, Stabilization of second-order LTI switched systems. International Journal of Control, 73, 1261-1279.