Robust Stability and H∞ Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach
Joint Authors
Qin, Chen
Xiang, Zhengrong
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper considers the problems of the robust stability and robust H∞ controller design for time-varying delay switched systems using delta operator approach.
Based on the average dwell time approach and delta operator theory, a sufficient condition of the robust exponential stability is presented by choosing an appropriate Lyapunov-Krasovskii functional candidate.
Then, a state feedback controller is designed such that the resulting closed-loop system is exponentially stable with a guaranteed H∞ performance.
The obtained results are formulated in the form of linear matrix inequalities (LMIs).
Finally, a numerical example is provided to explicitly illustrate the feasibility and effectiveness of the proposed method.
American Psychological Association (APA)
Qin, Chen& Xiang, Zhengrong& Karimi, Hamid Reza. 2013. Robust Stability and H∞ Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008761
Modern Language Association (MLA)
Qin, Chen…[et al.]. Robust Stability and H∞ Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1008761
American Medical Association (AMA)
Qin, Chen& Xiang, Zhengrong& Karimi, Hamid Reza. Robust Stability and H∞ Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008761
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008761