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 nonlinearities and time-varying delay. Based on the Lyapunov theory, delaydependent 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.

• Ju H. Park
• S.M. Lee

• Lur'e systems
• Time-delay
• Stabilization
• LMIs.

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