Robust stabilization of switched systems with input saturation

2005 International Conference on Machine Learning and Cybernetics, ICMLC 2005

Volumn , Issue , 2005, Pages 1021-1025

  Liu, Xing Long ^a   Duan, Guang Ren ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Input saturation; Robust stabilization; Switched system

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; FUNCTIONS; LYAPUNOV METHODS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

FEASIBILITY; ROBUST STABILIZATION; SWITCHED SYSTEMS;

SYSTEMS ANALYSIS;

EID: 28444468846     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Y. Orlov, "Extended invariance principle for nonautonomous switched systems," IEEE Trans. Automat. Contr., vol. 48, No. 8, August, 2003.
2. X. Xuping and J. Antsaklis, "Optimal control of switched systems based on parameterization of the switching instants," IEEE Trans. Automat. Contr., vol. 49, no. 1, January, 2004
3. H. Ye, A. N. Michel and L. Hou, "Stability analysis of switched systems, Conf. Decision Control," Kobe, Japan, 1996.
4. R. DeCarlo, M. S. Branicky, S. Pettersson, and B. Lennartson, "Perspective and results on the stability and stabilizability of hybrid systems," Proc. IEEE, pp. 1069-1082, July, 2000.
5. D. Liberzon and A. S. Morse, "Basic problem in stability and design of switched system," IEEE Control System Mag., vol. 19, no. 5, Oct., 1999.
6. J. Daafouz, P. Riedinger and C. lung, "Stability analysis and Control synthesis for switched systems: A switched Lyapunov function Approach," IEEE Trans. Automat. Contr., vol. 47, no. 11, November, 2002.
7. M. Vidyasagar, Nonlinear Systems Analysis. Upper Saddle River, NJ: Prentice-Hall, 1993, ch 5.
8. G. Michaletzky and L. Gerencser, "BIBO Stability of Linear Swithced Systems", IEEE Trans. Automat. 7 Contr. vol. 47, no. 11, November 2002.
9. A. A. Agrachev and D. Liberzon, "Lie-algebraic stability criteria for switched systems," SIAMJ. Control Optim., vol. 40, 2001, pp. 253-270.
10. W.Dayawansa and C.F. Martin, "A converse Lyapunov theorem for a class of dynamical systems which undergo switching," IEEE Trans. Automat. Contr. vol. 44, Apr. 1999, pp. 751-760.
11. rd Int. Workshop, HSCC'00, Hybrid Systems: Computation Control, vol. 1790, Lecture Notes in Computer Science, N. Lybch and B. H. Krogh, Eds., 2000, pp. 437-450.
12. G. Zhai, L. Hai, and P. J Antsaklis,., "Quadratic stabilisability of switched linear systems of linear systems with polytopic uncertainties," Int. J. Control, 2003, 76, (7), pp. 747-753.
13. P. P. Khargonekar, I. R Petersen., and K. Zhou, "robust stabilization of uncertain linear systems: quadratic stabilization and H∞ control theory," IEEE Trans. Automat. Control., 1990, 35, (3), pp. 356-361.
14. M.A. Rotea, M. Corless, D. Da, and J. R. Petersen, "systems with structured uncertainty: relation between quadratic and robust stability," IEEE Trans. Automat. Control, 1993, 38 (5),pp.799-803.
15. nd IEEE Conference on Decision and Control, Manui, Hawaii USA, December 2003.