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Asynchronous H∞ output feedback control for a class of Markov jump systems

This article is concerned with resilient asynchronous H∞ output feedback controller designed for a set of Markov jump linear systems (MJLSs). By Finsler's Lemma, and with the help of two sets of slack variables, the problem of inter connection between the Lyapunov matrices and the system matrices was solved. Resilient asynchronous controller is designed to ensure the controller has the character of robustness and the drawback that the controller can't get the information of the system's mode is overcame. The controller we designed for the closed-loop system not only makes sure the system has a prescribed H∞ performance index but also is stochastically stable. The bilinear matrix inequalities (BMIs) are given as the sufficient conditions for the controller design, which can be solved by using linear matrix inequalities (LMIs) along with line search.