Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-13
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
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 aregiven to illustrate the effectiveness of the proposed approach.
American Psychological Association (APA)
Lin, Jinxing& Gao, Zhifeng. 2012. Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1028898
Modern Language Association (MLA)
Lin, Jinxing& Gao, Zhifeng. Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach. Journal of Applied Mathematics No. 2012 (2012), pp.1-28.
https://search.emarefa.net/detail/BIM-1028898
American Medical Association (AMA)
Lin, Jinxing& Gao, Zhifeng. Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1028898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028898