Mode-dependent non-fragile H∞ controller design for discrete-time Markovian jump system

Considering the presence of additive norm-bounded controller parameter variations, this paper deals with the problem of mode-dependent non-fragile H_∞ controller design for discrete-time Markovian jump system with the assumption that the jump parameters of discrete-time Markovian jump system is available. The main contribution of the paper is to provide a linear matrix inequality(LMI) approach for designing a mode dependent non-fragile H_∞ controller on the basis of several important lemmas. It is shown that the mode-dependent non fragile H_∞, controller can be constructed through numerical solution of a set of coupled linear matrix inequalities. By employing LMI toolbox of Matlab 7.0 for numercial simulation, an example is finally provided to demonstrate the effectiveness and superiority of the proposed approach through the state response curves and the output response curve and also by comparison with normal method of H_∞ controller design in which controller parameter variation are not considered beforhand.