Robust mixed ℋ2/ℋ∞ filtering design for discrete-time switched polytopic linear systems

IET Control Theory and Applications

Volumn 2, Issue 5, 2008, Pages 420-430

  Qiu, J ^a   Feng, G ^b   Yang, J ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DISCRETE TIME CONTROL SYSTEMS; ERROR ANALYSIS; LINEAR CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; PARAMETER ESTIMATION;

DISCRETE-TIME SWITCHED POLYTOPIC LINEAR SYSTEMS; ERROR SYSTEMS; FINSLER'S LEMMA; PERFORMANCE MEASURES;

ROBUST CONTROL;

EID: 44649089364     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20070289     Document Type: Article

References (37)

1. Decarlo, R.A., Branicky, M.S., Pettersson, S., and Lennartson, B.: ' Perspectives and results on the stability and stabilizability of hybrid systems ', Proc. IEEE, 2000, 88, (7), p. 1069-1082 0018-9219
2. Liberzon, D., and Morse, A.S.: ' Basic problems in stability and design of switched systems ', IEEE Control Syst. Mag., 1999, 19, (5), p. 59-70 0272-1708
3. Peleties, P., and Decarlo, R.A.: ' Asymptotic stability of m-switched systems using Lyapunov-like functions ', Proc. 1991 American Control Conf, Boston, MA, 1991, p. 1679-1684
4. Branicky, M.S.: ' Multiple Lyapunov functions and other analysis tools for switched and hybrid systems ', IEEE Trans. Autom. Control, 1998, 43, (4), p. 475-482 0018-9286
5. Ye, H., Michel, A.N., and Hou, L.: ' Stability theory for hybrid dynamical systems ', IEEE Trans. Autom. Control, 1998, 43, (4), p. 461-474 0018-9286
6. Daafouz, J., Riedinger, P., and Iung, C.: ' Stability and control synthesis for switched systems: a switched Lyapunov function approach ', IEEE Trans. Autom. Control, 2002, 47, (11), p. 1883-1887 0018-9286
7. Fang, L., Lin, H., and Antsaklis, P.J.: ' Stabilization and performance analysis for a class of switched systems ', Proc. 43rd IEEE Conf. Decision and Control, 2004, p. 3265-3270
8. 2-gain analysis and control synthesis of uncertain switched systems ', IEE Proc. Control Theory Appl., 2004, 151, (1), p. 21-28 1350-2379
9. Gao, H., Zhang, L., Shi, P., Mou, S., and Wang, C.: ' Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties ', Proc. 2006 American Control Conf., Minnesota, USA, 2006, p. 5953-5958
10. Gao, H., Lam, J., and Wang, C.: ' Model simplification for switched hybrid systems ', Syst. Control Lett., 2006, 55, (12), p. 1015-1021 0167-6911
11. ∞ filtering for switched linear discrete-time systems with polytopic uncertainties ', Int. J. Adaptive Control Signal Process., 2006, 20, (6), p. 291-304
12. ∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties ', IET Control Theory Appl., 2007, 1, (3), p. 722-730
13. ∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach ', IEEE Trans. Autom. Control, 2007, 52, (8), p. 1520-1525 0018-9286
14. 2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs ', Syst. Control Lett., 2007, 56, (2), p. 159-166 0167-6911
15. ∞ filtering ', IEEE Trans. Signal Process., 1997, 45, (9), p. 2338-2350 1053-587X
16. Palhares, R.M., and Peres, P.L.D.: ' Robust filtering with guaranteed energy-to-peak performance-an LMI approach ', Automatica, 2000, 36, (6), p. 851-858 0005-1098
17. Tuan, H.D., Apkarian, P., and Nguyen, T.Q.: ' Robust and reduced-order filtering: new LMI-based characterizations and methods ', IEEE Trans. Signal Process., 2001, 49, (12), p. 2975-2984 1053-587X
18. Wang, Z., Ho, D.W.C., and Liu, X.: ' Robust filtering under randomly varying sensor delay with variance constraints ', IEEE Trans. Circuits Syst. II, Express Briefs, 2004, 51, (6), p. 320-326
19. ∞ filtering for uncertain discrete-time systems ', Automatica, 2004, 40, (5), p. 873-880 0005-1098
20. ∞ filtering for discrte-time linear systems with uncertain time-varying parameters ', IEEE Trans. Signal Process., 2006, 54, (6), p. 2110-2118 1053-587X
21. Duan, Z., Zhang, J., Zhang, C., and Mosca, E.: ' A simple design method of reduced-order filters and its applications to multirate filter bank design ', Signal Process., 2006, 86, (5), p. 1061-1075 0165-1684
22. ∞ filtering for uncertain linear systems ', Automatica, 2006, 42, (11), p. 1919-1926 0005-1098
23. ∞ estimation for uncertain systems with limited communication capacity ', IEEE Trans. Autom. Control, 2007, 52, (11), p. 2070-2084 0018-9286
24. ∞ filtering theory and an aerospace application ', Int. J. Robust Nonlinear Control, 1996, 6, (4), p. 347-366 1049-8923
25. ∞ filtering design for discrete-time systems ', IEEE Trans. Aerosp. Electron. Sys., 2001, 37, (1), p. 292-296
26. ∞ filtering for polytopic discrete-time systems ', IEEE Trans. Signal Process., 2005, 53, (8), p. 3183-3192 1053-587X
27. ∞ performance ', IEE Proc., Control Theory Appl., 2005, 152, (5), p. 531-537 1350-2379
28. 2 filtering for uncertain systems with multiple time-varying state delays ', Signal Process., 2007, 87, (4), p. 709-724 0165-1684
29. ∞ filtering design for discrete-time polytopic linear delay systems ', IEEE Trans. Circuits Syst. II, Express Briefs, to appear
30. ∞ filter design for systems with polytope-bounded uncertainty ', IEEE Trans. Signal Process., 2006, 54, (9), p. 3620-3626 1053-587X
31. Leite, V.J.S., Montagner, V.F., and Peres, P.L.D.: ' Robust pole location by parameter-dependent state feedback control ', Proc. 41st IEEE Conf. Decision and Control, Las Vegas, NV, 2002, p. 1864-1869
32. De Oliveira, M.C., and Skelton, R.E.: ' Stability tests for constrained linear systems', in Perspectives in robust control ', Reza Moheimani, S.O., (Springer, New York, 2001), Lecture Notes in Control and Information Scieneces, 268, p. 241-257
33. Duan, Z., Wang, J., and Huang, L.: ' Parameter-dependent Lyapunov function method for a class of uncertain nonlinear systems with multiple equilibria ', Circuits Syst. Signal Process., 2007, 26, (2), p. 147-164 0278-081X
34. Oliveira, R.C.L.F., and Peres, P.L.D.: ' LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions ', Syst. Control Letters., 2006, 55, (1), p. 52-61
35. Chesi, G., Garulli, A., Tesi, A., and Vicino, A.: ' Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions ', Automatica, 2007, 43, (2), p. 309-316 0005-1098
36. Goncalves, E.N., Palhares, R.M., Takahashi, R.H.C., and Mesquita, R.C.: ' New strategy for robust stability analysis of discrete-time uncertain systems ', Syst. Control Lett., 2007, 56, (7-8), p. 516-524 0167-6911
37. ∞ ε-guaranteed cost computation of uncertain linear systems ', IET Control Theory Appl., 2007, 1, (1), p. 201-209