Controller failure analysis for systems with interval time-varying delay: A switched method

Circuits, Systems, and Signal Processing

Volumn 28, Issue 3, 2009, Pages 389-407

  Wang, Dong ^a   Wang, Wei ^a   Sun, Xi Ming ^a   Shi, Peng ^b,c,d  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c VICTORIA UNIVERSITY   (Australia)

^d UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Controller failure; Exponential stability; Interval time varying delay; Switched delay system

Indexed keywords

CONTROLLER FAILURE; EXPONENTIAL STABILITY; EXPONENTIALLY STABLE; FAILURE FREQUENCY; INTERVAL TIME-VARYING DELAY; INTERVAL TIME-VARYING DELAYS; PIECEWISE LYAPUNOV FUNCTIONAL; STATE FEEDBACK CONTROLLER; SWITCHED DELAY SYSTEM; SWITCHED DELAY SYSTEMS;

CONTROLLERS; FAILURE ANALYSIS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; QUALITY ASSURANCE; SAFETY FACTOR; STATE FEEDBACK; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS;

SYSTEM STABILITY;

EID: 67651224849     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-008-9086-z     Document Type: Article

References (26)

1. M. Basin, E. Sanchez, R. Martinez-Zuniga, Optimal linear filtering for systems with multiple state and observation delays. Int. J. Innov. Comput. Inf. Control 3, 1309-1320 (2007)
2. S. Boyd, E.L. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory (SIAM, Philadelphia, 1994)
3. R. DeCarlo, M.S. Branicky, S. Pettersson, B. Lennartson, Perspectives and results on the stability and stabilizability of hybrid systems. Proc. IEEE 88, 1069-1082 (2000)
4. K. Gu, V.L. Kharitonov, J. Chen, Stability of Time-Delay Systems (Springer, Berlin, 2003)
5. M. Hassan, K. Boukas, Multilevel technique for large scale LQR with time-delays and systems constraints. Int. J. Innov. Comput. Inf. Control 3, 419-434 (2007)
6. Y. He, Q.G. Wang, C. Lin, M. Wu, Delay-range-dependent stability for systems with time-varying delay. Automatica 43, 371-376 (2007)
7. X.F. Jiang, Q.L. Han, Delay-dependent robust stability for uncertain linear systems with interval time-varying delay. Automatica 42, 1059-1065 (2006)
8. D. Liberzon, A.S. Morse, Basic problems in stability and design of switched systems. IEEE Control Syst. Mag. 19, 59-70 (1999)
9. D. Liberzon, Switching in Systems and Control (Birkhäuser, Boston, 2003)
10. J.P. Richard, Time-delay systems: An overview of some recent advances and open problems. Automatica 39, 1667-1694 (2003)
11. P. Shi, E.K. Boukas, R. Agarwal, S. Shue, Robust H ∞ state feedback control of discrete time-delay linear systems with norm bounded uncertainty. Int. J. Syst. Sci. 31, 409-415 (2000)
12. P. Shi, Y. Xia, G. Liu, D. Rees, On designing of sliding mode control for stochastic jump systems. IEEE Trans. Automat. Contr. 51, 97-103 (2006)
13. Z. Sun, S.S. Ge, Analysis and synthesis of switched linear control systems. Automatica 41, 181-195 (2005)
14. Z. Sun, S.S. Ge, Switched Linear Systems: Control and Design (Springer, New York, 2005)
15. X.M. Sun, J. Zhao, D.J. Hill, Stability and L 2 -gain analysis for switched delay systems: A delay-dependent method. Automatica 42, 1769-1774 (2006)
16. D. Wang, W. Wang, P. Shi, Exponential H filtering for switched linear systems with interval time-varying delay. Int. J. Robust Nonlinear Control (2008, in press). DOI: 10.1002/rnc.1334
17. D. Wang, W. Wang, P. Shi, Delay-dependent exponential stability for switched delay systems. Optim. Control Appl. Methods (2008, in press). DOI: 10.1002/oca.856
18. R. Wang, J. Zhao, Exponential stability analysis for discrete-time switched linear systems with time-delay. Int. J. Innov. Comput. Inf. Control 3, 1557-1564 (2007)
19. M. Wu, Y. He, J.H. She, G.P. Liu, Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40, 1435-1439 (2004)
20. D. Yue, Q.L. Han, J. Lam, Network-based robust H ∞ control of systems with uncertainty. Automatica 41, 999-1007 (2005)
21. G.S. Zhai, S. Takai, K. Yasuda, Controller failure time analysis for linear time-invariant systems. Trans. Soc. Instrum. Control Eng. 36, 1050-1052 (2000)
22. G.S. Zhai, S. Takai, K. Yasuda, Stability analysis of linear time-invariant systems with controller failures, in Proceedings of the European Control Conference, Porto, Portugal, pp. 138-142 (2001)
23. G.S. Zhai, X. Chen, S. Takai, K. Yasuda, Controller failure time analysis for H ∞ control systems, in Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, USA, pp. 1029-1030 (2001)
24. G.S. Zhai, H. Lin, Controller failure time analysis for symmetric H ∞ control. Int. J. Control 77, 598-605(2004)
25. W. Zhang, M.S. Branicky, S.M. Phillips, Stability of networked control systems. IEEE Control Syst. Mag. 21, 84-99 (2001)
26. L. Zhang, P. Shi, C. Wang, H. Gao, Robust H ∞ filtering for switched linear discrete-time systems with polytopic uncertainties. Int. J. Adapt. Control Signal Process. 20, 291-304 (2006)