Journal of Applied Mathematics

Exponential Admissibility and H Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach

Jinxing Lin and Zhifeng Gao

Full-text: Open access

Abstract

This paper deals with the problems of exponential admissibility and H control for a class of continuous-time switched singular systems with time-varying delay. The H controllers to be designed include both the state feedback (SF) and the static output feedback (SOF). First, by using the average dwell time scheme, the piecewise Lyapunov function, and the free-weighting matrix technique, an exponential admissibility criterion, which is not only delay-range-dependent but also decay-rate-dependent, is derived in terms of linear matrix inequalities (LMIs). A weighted H performance criterion is also provided. Then, based on these, the solvability conditions for the desired SF and SOF controllers are established by employing the LMI technique, respectively. Finally, two numerical examples are given to illustrate the effectiveness of the proposed approach.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 482792, 28 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1365174314

Digital Object Identifier
doi:10.1155/2012/482792

Mathematical Reviews number (MathSciNet)
MR3005166

Zentralblatt MATH identifier
1263.93071

Citation

Lin, Jinxing; Gao, Zhifeng. Exponential Admissibility and ${H}_{\infty }$ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach. J. Appl. Math. 2012 (2012), Article ID 482792, 28 pages. doi:10.1155/2012/482792. https://projecteuclid.org/euclid.jam/1365174314


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