H∞ output feedback stabilization for continuous-time switched linear systems

Abstract

A novel method to H∞ output feedback control of continuous-time switched linear systems is investigated in this paper. Base on multiple Lyapunov function method combined with the Projection lemma and Finsler's lemma, the resulting closed-loop system is stable and has a desire H∞ performance level γ under static and dynamic H∞ output feedback, respectively. Both these controllers are solved from strict linear matrix inequalities, which does not decompose Lyapunov matrix and its inverse matrix while a state-coordinate transformation is not required. The validity and advantage of the proposed method are illustrated using an example.