A parameterized delay-dependent control of switched discrete-time systems with time-delay

International Journal of Innovative Computing, Information and Control

Volumn 5, Issue 9, 2009, Pages 2893-2906

  Saif, Abdul Wahed ^a   Mahmoud, Magdi S ^a   Shi, Yan ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b TOKAI UNIVERSITY   (Japan)

Author keywords

Delay dependent asymptotic stability; LMIs; Switched Lyapunov Krasovskii functional; Switched output feedback; Switched systems

Indexed keywords

DELAY-DEPENDENT ASYMPTOTIC STABILITY; LMIS; SWITCHED LYAPUNOV-KRASOVSKII FUNCTIONAL; SWITCHED OUTPUT-FEEDBACK; SWITCHED SYSTEMS;

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; CONTINUOUS TIME SYSTEMS; CONTROL SYSTEM STABILITY; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; LINEAR CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; SWITCHING SYSTEMS; SYSTEM STABILITY;

DELAY CONTROL SYSTEMS;

EID: 69949144700     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. M. Branicky, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Cont., vol. 43, no. 4, pp. 475-582, 1998.
2. ∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems, IEEE Trans. Fuzzy Sys., vol. 8, pp. 406-415, 2000.
3. F. A. Cuzzola and M. Morari, A generalized approach for analysis and control of discrete-time piecewise affine and hybrid systems, Hybrid Systems: Computation and Control, Di Benedetto, M. D.; San Giovanni-Vincentelli, A. L. (Editors), Springer, 2001.
4. J. Daafouz, P. Riedinger and C. Lung, Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach, IEEE Trans. Automat. Control, vol. 47, pp. 1883-1887, 2002.
5. R. DeCarlo, M. Branicky, S. Pettersson and B. Lennartson, Perspectives and results on the stability and stabilizability of hybrid systems, Proc. of IEEE, vol. 88, pp. 1069-1082, 2000.
6. 2 output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions, Nonlinear Analysis, vol. 65, pp. 2135-2146, 2006. (Pubitemid 44466278)
7. N. H. El-Farra, P. Mhaskar and P. D. Christofides, Output feedback control of switched nonlinear systems using multiple Lyapunov functions, Syst. Contr. Lett., vol. 54, pp. 1163-1182, 2005. (Pubitemid 41455478)
8. P. Gahinet, A. Nemirovski, A. L. Laub and M. Chilali, LMI Control Toolbox, The Math Works, Inc., Boston, MA, 1995.
9. M. Johansson and A. Rantzer, Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Trans. Automat. Contr., vol. 43, pp. 555-559, 1998.
10. ∞ control of systems over communication networks using a deterministic switching system approach, Automatica, vol. 40, pp. 1205-1212, 2004.
11. X. D. Koutsoukos and P. J. Antsaklis, Design of stabilizing switching control laws for discrete and continuous-time linear systems using piecewise-linear Lyapunov functions, Int. J. Control, vol. 75, pp. 932-945, 2002.
12. S. H. Lee, T. H. Kim and J. T. Lim, A new stability analysis of switched systems, Automatica, vol. 36, pp. 917-922, 2000.
13. D. Liberzon and A. Morse, Basic problems in stability and design of switched systems, IEEE Control Syst. Mag., vol. 19, no. 5, pp. 59-70, 1999. (Pubitemid 30505850)
14. Z. Li, C. Wen, Y. Soh and W. Xie, Generalized matrix measure of switched nonlinear systems, IEEE Trans. Automat. Contr., vol. 47, pp. 178-183, 2002.
15. M. S. Mahmoud, Robust performance results for discrete-time systems, J. Mathematical Problems in Engineering Systems, vol. 4, pp. 17-38, 1997.
16. M. S. Mahmoud, Robust Control and, Filtering for Time-Delay Systems, Marcel-Dekker, New-York, 2000.
17. ∞ estimation for uncertain discrete systems with state-delay, J. Mathematical Problems in Engineering, vol. 7, pp. 393-412, 2001.
18. M. S. Mahmoud, Resilient Control of Uncertain Dynamical Systems, Springer, Berlin, 2004.
19. M. S. Mahmoud, M. N. Nounou and H. N. Nounou, Analysis and synthesis of uncertain switched discrete-time systems, IMA J. Mathematical Control and Information, vol. 24, pp. 245-257, 2007.
20. C. Meyer, S. Schroder and R. W. De Doncker, Solid-state circuits breakers and current limiters for medium-voltage systems having distributed power systems, IEEE Trans. Power Electronics, vol. 19, pp. 1333-1340, 2004.
21. A. Michel, Recent trends in the stability analysis of hybrid dynamical systems, IEEE Trans. Circuits and Systems-Part I, vol. 46, pp. 120-134, 1999.
22. 2 norm characterizations and controller parameterizations for discrete-time systems, Int. J. Control, vol. 75, pp. 666-679, 2002.
23. S. Pettersson and B. Lennartson, Hybrid system stability and robustness verification using linear matrix inequalities, Int. J. Control, vol. 75, pp. 1335-1355, 2002.
24. 2-gain analysis for switched delay systems: a delay-dependent method, Automatica, vol. 42, pp. 1769-1774, 2006. (Pubitemid 44277968)
25. H. Tshii and B. A. Francis, Stabilizing a linear system by switching control with dwell-time, IEEE Trans. Automat. Contr., vol. 47, pp. 1962-1973, 2002.
26. S. M. Williams and R. G. Hoft, Adaptive frequency domain control of PPM switched power line conditioner, IEEE Trans. Power Electron., vol. 6, pp. 665-670, 1991.
27. G. Zhai, H. Lin and P. J. Antsaklis, Quadratic stabilizability of switched linear systems with polytopic uncertainties, Int. J. Control, vol. 76, pp. 747-753, 2003.
28. G. Zhai, B. Hu, K. Yasuda and A. N. Michel, Disturbance attenuation properties of time-controlled switched systems, J. Franklin Institute, vol. 338, pp. 765-779, 2001.
29. 2-gain analysis for switched symmetric systems with time delay, Proc. of the American Control Conference, Denver, Colorado, 2003.
30. J. Zhao and G. M. Dimirovski, Quadratic stability of a class of switched nonlinear systems, IEEE Trans. on Automat. Contr., vol. 49, pp. 574-578, 2004.