Resilient dissipative based controller for stochastic systems with randomly occurring gain fluctuations

Abstract

This paper addresses the dissipativity based resilient sampled-data control problem for a class of stochastic systems with actuator failures. In particular, the controller is assumed to posses probabilistic actuator faults with different failure rates. Moreover, the controller gain fluctuation appears in a random way which obeys certain Bernoulli distributed white noise sequences. A new set of sufficient conditions is obtained in terms of linear matrix inequalities for the derivation of resilient dissipative sampled-data controller by constructing an appropriate Lyapunov–Krasovskii functional together with free-weighting matrix technique. Simulation studies are performed to verify the performance and effectiveness of the proposed control design technique.