Exponential H ∞ filtering for discrete-time switched singular systems with time-varying delays

Journal of the Franklin Institute

Volumn 349, Issue 7, 2012, Pages 2323-2342

  Zhang, Dan ^a,b   Yu, Li ^a   Wang, Qing Guo ^b   Ong, Chong Jin ^b   Wu, Zheng Guang ^c  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE DWELL TIME; DECAY RATE; DELAY-DEPENDENT; DESIGN METHOD; EXPONENTIALLY STABLE; FILTER GAINS; FILTERING ERROR; FILTERING PROBLEMS; LINEAR MATRIX INEQUALITY (LMIS); LYAPUNOV FUNCTIONALS; NUMERICAL EXAMPLE; PERFORMANCE BOUNDS; SUFFICIENT CONDITIONS; SWITCHED SINGULAR SYSTEMS; TIME-VARYING DELAY;

DECAY (ORGANIC); DISCRETE TIME CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; TIME VARYING CONTROL SYSTEMS;

SWITCHING SYSTEMS;

EID: 84864666417     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2012.04.006     Document Type: Article

References (41)

1. M.S. Mahmoud, N.F. Al-Muthairi, and S. Bingulac Robust Kalman filtering for continuous time-lag systems System & Control Letters 38 4 1999 309 319
2. M.S. Mahmoud, and P. Shi Robust Kalman filtering for continuous time-lag systems with jump parameters, IEEE Transactions on Circuits and Systems I: Regular Papers 50 1 2003 98 105
3. H. Sorenson (ED.), Kalman filtering: theory and applications, (IEEE Press, New York, 1985.
4. J.C. Geromel Optimal linear filtering with parameter uncertainty IEEE Transactions on Signal Processing 47 1999 168 175
5. ∞ filtering for nonlinear polynomial systems with multiplicative noise Journal of the Franklin Institute 347 9 2010 1740 1754
6. ∞ filtering for a class of uncertain nonlinear time-delayed systems IEEE Transactions on Automatic Control 48 9 2003 1661 1666
7. ∞ filtering for uncertain discrete-time state-delayed systems IEEE Transactions on Signal Processing 52 6 2004 1631 1640
8. ∞ estimation for uncertain systems with limited communication capacity IEEE Transactions on Automatic Control 52 11 2007 2070 2084
9. ∞ filtering for discrete-time systems with time-varying delay Signal Processing 89 2009 275 282
10. ∞ filter design for uncertain systems with time-varying distributed delays Journal of the Franklin Institute 348 2 2011 179 200
11. ∞ filtering for linear time-delay systems Journal of the Franklin Institute 349 1 2012 184 200
12. L. Dai Singular Control Systems 1989 Springer Berlin
13. S. Xu, and J. Lam Robust Control and Filtering of Singular Systems 2006 Springer Berlin
14. S. Xu, J. Lam, and Y. Zou An improved characterization of bounded realness for singular delay systems and its applications, International Journal of Robust and Nonlinear Control 18 3 2008 263 277
15. S. Xu, D.P. Van, R. Stefan, and J. Lam Robust stability and stabilization for singular systems with state delay and parameter uncertainty, IEEE Transactions on Automatic Control 47 7 2002 1122 1228
16. A. Haidar, and E.K. Boukas Exponential stability of singular systems with multiple time-varying delays Automatica 45 2 2009 539 545
17. ∞ filter design of uncertain descriptor systems with discrete and distributed delays IEEE Transactions on Signal Processing 52 11 2004 3200 3212
18. Z. Shu, and L. James Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays International Journal of Control 81 6 2008 865 882
19. ∞ filtering for singular systems with time-varying delay IntInternational Journal of Robust and Nonlinear Control 20 10 2009 1269 1284
20. ∞ filtering for uncertain discrete-time singular systems with interval time-varying delay Automatica 46 2010 591 597
21. ∞ filtering for singular Markovian jump time-delay systems Signal Processing 90 6 2010 1815 1824
22. W.N. Zhou, H.Q. Lu, C.M. Duan, and M.H. Li Delay-dependent robust control for singular discrete-time Markovian jump systems with time-varying delay, International Journal of Robust and Nonlinear Control 20 10 2010 1112 1128
23. ∞ control for discrete-time singularly perturbed systems with two Markov processes Journal of the Franklin Institute 347 5 2010 836 847
24. S.P. Ma, and C.H. Zhang H∞ control for discrete-time singular Markov jump systems subject to actuator saturation Journal of the Franklin Institute 349 3 2012 1011 1029
25. D. Liberzon Switching in Systems and Control 2003 Birkhauser Boston
26. Z. Sun, and S.S. Ge Switched Linear Systems: Control and Design 2005 Springer New York
27. D. Wang, W. Wang, P. Shi, and X.M. Sun Controller failure analysis for systems with interval time-varying delay: a switched method Circuits Systems and Signal Process 28 2009 389 407
28. ∞ control of networked control systems with time-varying delays Journal of the Franklin Institute 348 2 2011 165 178
29. M. de la Sen Quadratic stability and stabilization of switched dynamic systems with uncommensurate point delays Applied Mathematics and Computation 185 1 2007 508 526
30. J.C. Cui, L.L. Xiong, and M. Ye BIBO stability of switched uncertain neutral control system International Journal of Control, Automation and Sysyems 8 4 2010 913 923
31. ∞ filtering for uncertain discrete-time switched linear systems with average dwell time: a μ dependent approach, International Journal of Robust and Nonlinear Control 18 2008 1188 1207
32. ∞ filtering for a class of switched linear parameter varying systems International Journal of Systems Science 42 5 2011 781 788
33. J.X. Lin, C.X. Fan, Exponential admissibility and dynamic output feedback control of switched singular systems with interval time-varying delay. Mathematical Problems in Engineerign Volume 2010, Article ID 680382, 21 pages.
34. ∞ control for uncertain discrete switched singular systems with time-delay Applied Mathematics and Computation 206 1 2008 413 424
35. ∞ control for discrete singular systems with time-delays Journal of Computational and Applied Mathematics 217 1 2008 194 211
36. X. Jiang, Q. Han, X. Yu, Stability criteria for linear discrete-time systems with interval- like time-varying delay, in: Proceeding of the American Control Conference, Portland, OR, USA. June 8-10, 2005.
37. J.C. Geromel, M.C. de Oliveira, and J. Bernussou Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions SIAM Journal on Control and Optimization 41 3 2002 700 711
38. G.S. Zhai, B. Hu, K. Yasuda, and A. Michel Disturbance attenuation properties of time-controlled switched systems Journal of the Franklin Institute 338 2001 765 779
39. 2-gain analysis for switched delay systems: a delay-dependent method Automatica 42 10 2006 1769 1774
40. X.L. Zhu, Y.Y. Wang, and Y. Gan H∞ filtering for continuous-time singular systems with time-varying delay International Journal of Adaptive Control and Signal Processing 25 2011 137 154
41. ∞ filtering for discrete-time switched delay systems IntInternational Journal of Robust and Nonlinear Control 2011 10.1002/rnc.1764