1. Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems
- Author
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Zheng-Fan Liu, Chen-Xiao Cai, and Wen-Yong Duan
- Subjects
Article Subject ,lcsh:TA1-2040 ,Computer Science::Systems and Control ,lcsh:Mathematics ,lcsh:Engineering (General). Civil engineering (General) ,lcsh:QA1-939 - Abstract
This paper is concerned with the problem of exponential stability and H∞ model reduction of a class of switched discrete-time systems with state time-varying delay. Some subsystems can be unstable. Based on the average dwell time technique and Lyapunov-Krasovskii functional (LKF) approach, sufficient conditions for exponential stability with H∞ performance of such systems are derived in terms of linear matrix inequalities (LMIs). For the high-order systems, sufficient conditions for the existence of reduced-order model are derived in terms of LMIs. Moreover, the error system is guaranteed to be exponentially stable and an H∞ error performance is guaranteed. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
- Published
- 2014
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