New results on model reduction for Discrete-time switched systems with time delay

International Journal of Innovative Computing, Information and Control

Volumn 8, Issue 5 A, 2012, Pages 3431-3440

  Liu, Quanli ^a   Wang, Wei ^a   Wang, Dong ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Model reduction, Discrete time switched systems, State delay, LMIs

Indexed keywords

AVERAGE DWELL TIME; COMMON LYAPUNOV FUNCTIONS; COMPUTATION COMPLEXITY; DELAY-DEPENDENT; DISCRETE-TIME SWITCHED SYSTEM; ERROR SYSTEMS; EXPONENTIALLY STABLE; LINEAR MATRIX INEQUALITY (LMIS); LYAPUNOV MATRIX; MODEL REDUCTION; NEW RESULTS; NUMERICAL EXAMPLE; PIECE-WISE; REDUCED ORDER MODELS; SUFFICIENT CONDITIONS; SWITCHED DELAY SYSTEMS; SWITCHING SIGNALS; WEIGHTING FACTORS;

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS;

SWITCHING SYSTEMS;

EID: 84860817365     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. Z. Sun and S. S. Ge, Switched Linear Systems: Control and Design, Springer-verlag, New York, 2005.
2. M. S. Branicky, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Control, vol.43, no.4, pp.475-482, 1998.
3. J. Lian and J. Zhao, Output feedback variable structure control for a class of uncertain switched systems, Asian J. Control, vol.11, no.1, pp.31-39, 2009.
4. J. Lian, J. Zhao and G. M. Dimirovski, Integral sliding mode control for a class of uncertain switched nonlinear systems, European Journal of Control, vol.16, no.1, pp.16-22, 2010.
5. J. Daafouz, P. Riedinger and C. Iung, Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach, IEEE Trans. Automat. Control, vol.47, no.11, pp.1883-1887, 2002.
6. J. P. Hespanha and A. S. Morse, Stability of switched systems with average dwell-time, Proc. of the 38th Conf. Decision Control, pp.2655-2660, 1999.
7. J. Lian and K. Zhang, Exponential stability analysis for switched Cohen-Grossberg neural networks with average dwell time, Nonlinear Dynamics, vol.63, no.3, pp.331-343, 2011.
8. ∞ sliding mode control for a class of uncertain switched delay systems, International Journal of Systems Science, vol.40, no.8, pp.855-866, 2009.
9. Y. Wang, W. Wang and D. Wang, LMI approach to design fault detection filter for discrete-time switched systems with state delays, International Journal of Innovative Computing, Information and Control, vol.6, no.1, pp.387-397, 2010.
10. L. Zhang and B. Jiang, Stability of a class of switched linear systems with uncertainties and average dwell time switching, International Journal of Innovative Computing, Information and Control, vol.6, no.2, pp.667-676, 2010.
11. C. Cui, F. Long and C. Li, Disturbance attenuation for switched system with continuous-time and discrete-time subsystems: State feedback case, ICIC Express Letters, vol.4, no.1, pp.205-212, 2010.
12. Z. Liu, H. Zhang, Q. Sun and D. Yang, Output feedback switching controller design for state-delayed linear systems with input quantization and disturbances, ICIC Express Letters, vol.4, no.5(B), pp.1791-1797, 2010.
13. J. Lian, Z. Feng and P. Shi, Observer design for switched recurrent neural networks: An average dwell time approach, IEEE Trans. Neural Networks, vol.22, no.10, pp.1547-1556, 2011.
14. L. Zhang, P. Shi and M. Basin, Robust stability and stabilisation of uncertain switched linear discrete time-delay systems, IET Control Theory Appl., vol.2, no.7, pp.606-614, 2008.
15. ∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties, IET Control Theory Appl., vol.1, no.3, pp.722-730, 2007.
16. ∞ filtering for switched linear systems with interval time-varying delay, Int. J. Robust and Nonlinear Control, vol.19, no.5, pp.532-551, 2009.
17. Y. Li, J. Lam and X. Luo, Hankel norm model reduction of uncertain neutral stochastic timedelay systems, International Journal of Innovative Computing, Information and Control, vol.5, no.9, pp.2819-2828, 2009.
18. 2 optimal model reduction, Automatica, vol.28, no.5, pp.897-909, 1992.
19. 2 model reduction and variance reduction, Automatica, vol.38, no.9, pp.1517-1530, 2002.
20. 2 optimal model reduction, IEEE Trans. Automat. Control, vol.44, no.7, pp.1341-1358, 1999.
21. ∞ model reduction for discrete-time singular systems, Syst. Control Lett., vol.48, no.2, pp.121-133, 2003.
22. ∞ model reduction of linear systems with distributed delay, IEE Control Theory Appl., vol.152, no.6, pp.662-674, 2005.
23. ∞ model reduction for discrete time-delay systems: Delayindependent and dependent approaches, Int. J. Control, vol.77, no.4, pp.321-335, 2004.
24. ∞ model reduction of Markovian jump linear systems, Syst. Control Lett., vol.50, no.2, pp.103-118, 2003.
25. ∞ model reduction for uncertain switched linear discrete-time systems, Automatica, vol.44, no.11, pp.2944-2949, 2008.
26. L. El Ghaoui, F. Oustry and M. Aitrami, A cone complementarity linearization algorithm for static outputfeedback and related problems, IEEE Trans. Automat. Control, vol.42, no.8, pp.1171-1176, 1997.
27. ∞ output feedback controllers, SIAM J. Control Optim., vol.57, no.6, pp.1711-1735, 2001.
28. ∞ filter design for uncertain Takagi-Sugeno fuzzy systems with time delay, Eng. Appl. Artificial Intelligence, vol.17, no.6, pp.645-659, 2004.
29. M. C. De Oliveira, J. Bernussou and J. C. Geromel, A new discrete-time robust stability condition, Syst. Control Lett., vol.37, no.4, pp.261-265, 1999.
30. X. F. Jiang, Q. L. Han and X. H. Yu, Stability criteria for linear discrete-time systems with intervallike time-varying delay, Proc. of the American Control Conference, Portland Oregon, USA, pp.2817-2822, 2005.