A new analysis method for interval time-varying delay systems with probabilistic actuator-fault-occurrence

The paper addresses the problem of a class of reliable control for interval time-varying delay systems with frequent actuator fault. A new type reliable control system model is proposed by introducing a stochastic parameter. Based on the new systems model, sufficient conditions for the exponential mean square stability of the system are derived by using the Lyapunov functional method and the linear matrix inequality (LMI) technique. The derived criteria, which are expressed in terms of a set of LMIs, are fault-occurrence rate and delay-dependent, that is, the solvability of the criteria depends on not only the variation range of the delay but also the probability distribution of fault-occurrence. The illustrative example and the respective simulation results demonstrate the feasibility and effectiveness of the proposed design synthesis.