Robust passive fault-tolerant control for uncertain non-linear stochastic systems with distributed delays

Robust passive fault-tolerant control problem for uncertain non-linear stochastic systems is studied. In terms of Lyapunov- Krasovskii functional approach, a new robust passive control criteria is proposed. A passive fault-tolerant state feedback controller is designed, which tolerates actuator failure and guarantees the passivity of the closed-loop systems for all admissible uncertainties in the mean square. A sufficient condition for the existence of passive fault-tolerant state feedback controller is derived in terms of the linear matrix inequality (LMI) approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed techniques.