1. Stability Analysis andH∞Model Reduction for Switched Discrete-Time Time-Delay Systems
- Author
-
Wen-Yong Duan, Zheng-Fan Liu, and Chen-Xiao Cai
- Subjects
Reduction (complexity) ,Dwell time ,Discrete time and continuous time ,Exponential stability ,Control theory ,General Mathematics ,General Engineering ,State (functional analysis) ,Linear matrix ,Stability (probability) ,Mathematics - Abstract
This paper is concerned with the problem of exponential stability andH∞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 withH∞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 anH∞error performance is guaranteed. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
- Published
- 2014