Reliable H∞ control of 2-D continuous nonlinear systems with time varying delays

This paper investigates the reliable _H∞ stabilization problem for a class of two-dimensional (2-D) continuous nonlinear state-delayed systems represented by the Roesser state-space model, where the nonlinear function satisfies the sector bounded condition. By choosing an appropriate Lyapunov-Krasovskii functional, sufficient conditions for asymptotical stability with _H∞ performance of the given system are derived. Then, a reliable controller is proposed such that the resulting closed-loop system is asymptotically stable and has a prescribed _H∞ performance level γ in the presence of actuator failures. Finally, an example is given to illustrate the effectiveness of the proposed method.