Robust Control for Discrete-Time Sector Bounded Systems with Time-Varying Delay

In this paper, we propose a robust controller design method for discrete-time systems with sector-bounded nonlineari- ties and time-varying delay. Based on the Lyapunov theory, delay- dependent stabilization criteria are obtained in terms of linear matrix inequalities (LMIs) by constructing the new Lyapunov-Krasovskii functional and using some inequalities. A robust state feedback controller is designed by LMI framework and a reciprocally convex combination technique. The effectiveness of the proposed method is verified throughout a numerical example. synthesis condition is expressed in terms of LMIs so that it can be easily verified the effectiveness of the proposed method by numerical algorithms (10). Finally, simulation result demonstrates the benefits of the proposed controller design methodology for the sector-bounded systems with time-varying delay.