Fault-tolerant control for nonlinear singular Markov jump systems with time-delay

In this paper, the fault-tolerant control for nonlinear singular Markov jump systems with time-delay is of concern. Sufficient condition is proposed to guarantee the nonlinear SMJSs with actuator faults and time delay is regular, impulse free and stochastically stable with H ∞ performance γ>0. We utilized Lyapunov stability theory, stochastic analysis theory, Wirtinger inequality, and Linear matrix inequlities (LMIs) techniques. The feedback gains developed by LMIs. Finally, a numerical example is adopted to illustrate the effectiveness of the proposed method.