Finite-time sampled-data control of switched stochastic model with non-deterministic actuator faults and saturation nonlinearity

Abstract

This work addresses the problem of extended-dissipative finite-time reliable control of switched stochastic model with non-deterministic actuator faults, time-delay, sampled-data scheme, saturation nonlinearity and stochastic uncertainties, where the actuator faults obey certain probabilistic distribution. The important of this article is to develop a stochastic fault-tolerant sampled-data controller under actuator saturation nonlinearity such that the considered stochastic switched model is stochastically stable and obeys a dissipative pursuance ratio in the finite-time interval. A novel finite-time criteria are proposed to guaranteeing the stochastically stable in finite time for switched stochastic system based on the finite-time stability theory and suitable Lyapunov–Krasovskii functional (LKF) along with convex integral inequality method. Then, the derived criteria are presented in terms of linear matrix inequalities (LMIs) and it can be solved efficiently by standard Matlab software. Finally, numerical simulations are given to illustrate the efficiency of the proposed method.