Robust Hinfin; filtering for switched linear discrete-time systems with polytopic uncertainties

International Journal of Adaptive Control and Signal Processing

Volumn 20, Issue 6, 2006, Pages 291-304

  Zhang, Lixian ^a   Shi, Peng ^b   Wang, Changhong ^a   Gao, Huijun ^a,c  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Filter; Linear matrix inequalities; Polytopic uncertainties; Robust H ; Switched linear systems

Indexed keywords

ASYMPTOTIC STABILITY; DIGITAL FILTERS; DISCRETE TIME CONTROL SYSTEMS; LYAPUNOV METHODS; OPTIMIZATION; PROBLEM SOLVING; SWITCHING;

LINEAR MATRIX INEQUALITIES (LMI); POLYTOPIC UNCERTAINTIES; ROBUST H∞; SWITCHED LINEAR SYSTEMS;

LINEAR SYSTEMS;

EID: 33747110753     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.901     Document Type: Article

References (32)

1. Boukas EK. Stabilization of stochastic nonlinear hybrid systems. International Journal of Innovative Computing, Information and Control 2005; 1(1):131-141.
2. Feng X, Loparo KA, Ji Y, Chizeck HJ. Stochastic stability properties of jump linear systems. IEEE Transactions on Automatic Control 1992; 37(1):38-52.
3. ∞ control for Markovian jump linear systems with parametric uncertainty. Journal of Optimization Theory and Application 1997; 95(1):75-99.
4. Shi P, Boukas EK, Agarwal RK. Kalman filtering for continuous-time uncertain systems with markovian jumping parameters. IEEE Transactions on Automatic Control 1999; 44(8): 1592-1597.
5. Ferrari-Trecate G, Cuzzola FA, Mignone D, Morari M. Analysis of discrete-time piecewise affine and hybrid systems. Automatica 2002; 38(12):2139-2146.
6. Imura J. Well-posedness analysis of switch-driven piecewise affine systems. IEEE Transactions on Automatic Control 2003; 48(11):1926-1935.
7. Johansson M, Rantzer A. Computation of piecewise quadratic Lyapunov functions for hybrid systems. IEEE Transactions on Automatic Control 1998; 43(4):555-559.
8. Rantzer A, Johansson M. Piecewise linear quadratic optimal control. IEEE Transactions on Automatic Control 2000; 45(4):629-637.
9. Hespanha JP, Morse AS. Switching between stabilizing controllers. Automatica 2002; 38(11):1905-1917.
10. Ishii H, Francis BA. Stabilizing a linear system by switching control with dwell time. IEEE Transactions on Automatic Control 2002; 47(12):1962-1973.
11. Morse AS. Supervisory control of families of linear set-point controllers part I: exact matching. IEEE Transactions on Automatic Control 1996; 41(10):1413-1431.
12. Johansson KH, Lygeros J, Sastry S. Modelling hybrid systems. In Encyclopedia of Life Support Systems (EOLSS), Unbehauen H (ed.). EOLSS: Oxford, U.K., 1999.
13. El-Farra NH, Mhaskar P, Christofides PD. Output feedback control of switched nonlinear systems using multiple Lyapunov functions. Systems and Control Letters 2005; 54(12):1163-1182.
14. Leith DJ, Shorten RN, Leithead WE, Mason O, Curran P. Issues in the design of switched linear control systems: a benchmark study. International Journal of Adaptive Control and Signal Processing 2003; 17(2): 103-118.
15. Oishi M, Tomlin C. Switched nonlinear control of a vstol aircraft. Proceedings of the 38th Conference on Decision Control, Phoenix, AZ, 1999; 2685-2690.
16. DeCarlo R, Branicky M, Pettersson S, Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. IEEE Proceedings 2000; 88(7):1069-1082.
17. Liberzon D, Morse AS. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine 1999; 19(5): 59-70.
18. Sun Z, Ge SS. Analysis and synthesis of switched linear control systems. Automatica 2005; 41(2):181-195.
19. Branicky MS. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 1998; 43(4):475-782.
20. Daafouz J, Riedinger P, lung C. Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Transactions on Automatic Control 2002; 47(11): 1883-1887.
21. Daafouz J, Millerioux G, lung C. A poly-quadratic stability based approach for linear switched systems. International Journal of Control 2002; 15(16):1302-1310.
22. de Oliveira MC, Bernussou J, Geromel JC. A new discrete-time robust stability condition. Systems and Control Letters 1999; 37(4):261-265.
23. ∞ filtering for uncertain discrete-time state-delayed systems. IEEE Transactions on Signal Processing 2004; 52(6):1631-1640.
24. ∞ performance analysis for continuous-time stochastic systems with polytopic uncertainties. Circuits, Systems and Signal Processing 2005; 24(4):415-429.
25. Peaucelle D, Arzelier D, Bachelier J, Bernussou J. A new robust D-stability condition for real convex polytopic uncertainty. Systems and Control Letters 2000; 40(1):21-30.
26. Ramos DCW, Peres PLD. A less conservative LMI condition for the robust stability of discrete-time uncertain systems. Systems and Control Letters 2001; 43(5):371-378.
27. ∞ filtering for polytopic uncertain time-delay systems with Markov jumps. Computer and Electrical Engineering 2002; 28(3): 171-193.
28. ∞ filtering for uncertain systems with multiple time-varying state delays. IEEE Transactions on Circuits and Systems (I) 2003; 50(4):594-599.
29. Wang Z, Lam J, Liu XH. Nonlinear filtering for state delayed systems with Markovian switching. IEEE Transactions on Signal Processing 2003; 51(9):2321-2328.
30. ∞ filtering for uncertain Markovian jump systems with mode-dependent time-delays. IEEE Transactions on Automatic Control 2003; 48 (5):900-907.
31. ∞ filter for polytopic uncertain systems via convex optimization. IEE Proceedings Part D: Control Theory and Applications 2001; 148(1):55-59.
32. Boyd S, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. SIAM: Philadelphia, PA, 1994.