Model reduction of discrete-time switched linear systems over finite-frequency ranges

Abstract

This paper is concerned with the model reduction problem of a class of discrete-time switched linear systems over finite-frequency ranges. By the aid of generalized Kalman–Yakubovich–Popov (GKYP) lemma and switched quadratic Lyapunov function, sufficient conditions for model reduction of switched linear systems over low-frequency, middle-frequency, and high-frequency ranges are derived, respectively. The proposed method can reach a better approximation accuracy than the existing full-frequency ones over the finite-frequency interval. An example is given to illustrate its effectiveness.