Non-fragile reduced-order dynamic output feedbackH∞control for switched systems with average dwell-time switching

This paper is concerned with the problem of non-fragile reduced-order dynamic output feedback H∞ control for both continuous- and discrete-time switched systems with average dwell-time switching. First, Lyapunov conditions for the analysis of asymptotic stability and weighted H∞ performance are presented. Then, sufficient conditions for the solvability of the problem of controller design are developed in terms of linear matrix inequalities. The design methods are suitable for general switched systems, without the need to impose extra constraints on the system matrices. Finally, numerical examples are presented to illustrate the effectiveness of the proposed methods.