Robust H8 Fault-Tolerant Control of a Class of Stochastic Markovian Jump Systems

This paper is concerned with the robust H_∞ fault-tolerant control problem for a class of stochastic markovian jump systems (SMJSs) with time-varying delay. A novel criterion of robust stabilization, which is dependent on the size of the time delay and therefore less conservative, for such systems is established in terms of linear matrix inequalities (LMIs) by using Lyapunov stability theory and free-weighting matrix methods. In addition, in the robust H_∞ fault-tolerant control problem, our attention is focused on the design of state feedback controller which ensures robust asymptotic stability in mean square for the corresponding closed-loop system not only when all control components are operating well, but also in the presence of some outages of actuators within a prespecified subset of actuators and a prescribed H_∞ performance level, irrespective of time delay and the parameter uncertainties.