Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems

Abstract EN

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.