Guaranteed Cost Control for a Class of Switched Descriptor Systems

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Abstract:

This paper deals with the problem of guaranteed cost control for a class of switched descriptor systems. State feedback guaranteed cost controller is adopted to make the resulting closed-loop system stable and cost function have an upper bound. Based on single Lyapunov function and convex combination technique, a switching law is designed and a sufficient condition of the existence of such controller is presented. By means of variables substitution and linear matrix inequality, the condition can be turned to LMI. The advantage of method presented in this paper is illustrated by an example.

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Periodical:

Advanced Materials Research (Volumes 546-547)

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1030-1034

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July 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] S. H. Shi, Q. L. Zhang, Z. H. Yuan and W. Q. Liu: IET Control Theory and Applications Vol. 5 (2011), p.103.

Google Scholar

[2] Y. Q. Xia, J. H. Zhang and E. K. Boukas: Automatica Vol. 44 (2008), p.2635.

Google Scholar

[3] Y. Z. Liu: World Congress on intelligent Control and Automation, Chongqian, China, June 25-27, (2008), p.6369.

Google Scholar

[4] H. G. Zhang, Y. C. Wang and D. R. Liu: IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics Vol. 38 (2008), p.126.

Google Scholar

[5] S. S. L Chang and T. K. C Peng: IEEE Transactions on Automatic Control Vol. 17 (1972), p.474.

Google Scholar

[6] X. H. Zhang, H. Y. Zhang and S. W. Bi: Chinese Control and Decision Conference (2009), p.4569.

Google Scholar

[7] Z. R Gao and Z. C. Ji: Chinese Control Conference (2011), p.1845.

Google Scholar

[8] X. Jiang and Q. L. Han: IET Control Theory and Applications Vol. 1 (2007), p.1700.

Google Scholar

[9] W. A. Zhang and L. Yu: IET Control Theory and Applications Vol. 1 (2007), p.675.

Google Scholar

[10] D. Liu, G. P. Zhang and Y. H. Xie: International Journal of Information and Systems Sciences, Vol. 5 (2009), p.430.

Google Scholar

[11] Y. F. Feng and X. H. Chang: International Journal of Information and Systems Sciences Vol. 5 (2009), p.516.

Google Scholar

[12] D. D. Yang and K. Y. Cai: Mathematics and Computers in Simulation Vol. 80 (2010), p. (2005).

Google Scholar

[13] Y. Y. Cao, Y. X. Sun and C. W. Cheng: IEEE Transactions on Automatic Control, Vol. 43 (1998), p.1608.

Google Scholar