Reliable passive control for a class of delayed singular systems with random failures

In order to remain stability of systems in the case of stochastic actuator faults, the problem of reliable passive control for a class of delayed linear singular systems with actuator stochastic faults is investigated in this paper. The criteria on the existence of reliable controller and the design method of state-feedback controller are derived, under which the resultant closed-loop systems are admissible and passive with desired dissipation by using Lyapunov stability theory, LMI technique and cone complementarity linearization algorithm. Finally, an example and their simulations are presented to illustrate the effectiveness of the approach proposed in this paper.