Robust H∞ sliding mode control for uncertain time-delay stochastic system with packet losses

In this paper, we design the robust H_∞ sliding mode controller for a class of time-delay nonlinear systems subject to randomly occurring uncertainties, external disturbance as well as packet losses. The uncertainties addressed satisfy the norm bounded condition and the time-delay is time-varying with known bounds. The state data of the system are firstly constructed based on the known packet loss probability and then a sliding function is designed. By using the Lyapunov method, a new sufficient criterion is given to ensure the asymptotical stability of the sliding mode dynamics. Subsequently, the SMC law is synthesized and the reachability of the control law is guaranteed. Finally, we provide a simulation to verify the feasibility of the given control strategy.