Finite-time H∞ control for a class of discrete-time switched time-delay systems with quantized feedback

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 12, 2012, Pages 4802-4814

  Song, Haiyu ^a   Yu, Li ^a   Zhang, Dan ^a   Zhang, Wen An ^a  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Average dwell time; Discrete time switched system; Finite time stability; Mode dependent quantizer; Time delay

Indexed keywords

DELAY CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; STATE FEEDBACK; TIMING CIRCUITS;

AVERAGE DWELL TIME; DISCRETE TIME; DISCRETE-TIME SWITCHED SYSTEM; FINITE TIME STABILITY; FINITE-TIME; H ∞ CONTROL; MODE-DEPENDENT QUANTIZER; QUANTIZERS; TIME-DELAY SYSTEMS; TIME-DELAYS;

TIME DELAY;

EID: 84864396492     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2012.05.002     Document Type: Article

References (26)

1. Elia N., Mitter S.K. Stabilization of linear systems with limited information. IEEE Trans Automat Control 2001, 46(9):1384-1400.
2. Fu M., Xie L. The sector bound approach to quantized feedback control. IEEE Trans Automat Control 2005, 50(11):1698-1711.
3. Hespanha JP, Morse AS. Stability of switched systems with average dwell-time. In: Proceedings of the 38th IEEE conference on decision control, vol. 3; 1999. p. 2655-60.
4. Decarlo R.A., Branicky M.S., Petterssoon S., Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proc IEEE 2008, 88(7):1069-1082. special issue on hybrid systems.
5. Sun Z., Ge S.S. Analysis and synthesis of switched linear control systems. Automatica 2005, 41(2):181-195.
6. Zhai G, Hu B, Yasuda K, Michel AN. Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach. In: Proceedings of the 2000 American control conference, vol. 1; 2000. p. 200-4.
7. ∞ static output feedback control for discrete-time switched linear systems with average dwell time. IET Control Theory Appl 2010, 4(3):381-390.
8. Zhang D., Yu L., Zhang W. Delay-dependent fault detection for switched systems with time-varying delays-the average dwell dime approach. Signal Process 2011, 91(4):832-840.
9. ∞ control of discrete-time switched systems with average dwell time. IEEE Trans Automat Control 2009, 54(9):2193-2200.
10. Zhang L., Gao H. Asynchronously switched control of switched linear systems with average dwell time. Automatica 2010, 46(5):953-958.
11. Liberzon D., Morse A.S. Basic problems in stability and design of switched systems. IEEE Control Syst Mag 1999, 19(5):59-70.
12. Amato F., Ariola M., Dorato P. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica 2001, 37(9):1459-1463.
13. Amato F., Ariola M., Cosentino C. Finite-time control of discrete-time linear systems: analysis and design conditions. Automatica 2010, 46(5):919-924.
14. Garcia G., Tarbouriech S., Bernussou J. Finite-time stabilization of linear time-varying continuous systems. IEEE Trans Automat Control 2009, 54(2):364-369.
15. Feng J., Wu Z., Sun J. Finite-time control of linear singular systems with parametric uncertainties and disturbances. Acta Automat Sinica 2005, 31(4):634-637.
16. ∞ control for linear continuous system with norm-bounded disturbance. Commun Nonlinear Sci Numer Simul 2009, 14(4):1043-1049.
17. Dorato P. Short time stability in linear time-varying systems. In: Proceedings of the IRE international convention record part 4, New York; 1961. p. 83-7.
18. Weiss L., Infante E.F. Finite time stability under perturbing forces and on product spaces. IEEE Trans Automat Control 1967, 12(1):54-59.
19. Du H, Lin X, Li S. Finite-time stability and stabilization of switched linear systems. In: Proceedings of the joint 48th IEEE conference on decision and control and 28th chinese control conference, 2009. p. 1938-43.
20. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans Automat Control 1998, 43(4):475-482.
21. Daafouz J., Riedinger P., Iung C. Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans Automat Control 2002, 47(11):1883-1887.
22. ∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance. J Franklin Inst 2011, 348(2):331-352.
23. Ferrari-Trecate G., Cuzzola F.A., Mignone D., Morari M. Analysis of discrete-time piecewise affine and hybrid systems. Automatica 2002, 38(12):2139-2146.
24. ∞ filtering for uncertain discrete-time state-delayed systems. IEEE Trans Automat Control 2004, 52(6):1631-1640.
25. Wen-An Zhang, Li Yu Modelling and control of networked control systems with both network-induced delay and packet-dropout. Automatica 2008, 44(12):3206-3210.
26. Ma Dan, Dimirovski Georgi M, Liu Tao, Zhao Jun. Robust exponential stabilization of switched systems with network time-varying delays and packet dropout. In: Proceedings of the 27th Chinese control conference, Kunming, PR China, July 16-18, 2008. p. 96-100.