Robust Stabilization for Uncertain Time-Delay Systems under Time-Varying Sampling
نویسندگان
چکیده
This paper discusses robust sampled-data control for uncertain systems with time-varying delay. We allow a time-varying sampling. When we use digital devices to control systems, we usually apply the zero-order control input. In this case, the closed-loop system with such a state feedback control input becomes a system with time-varying delays in state. We first give a sufficient condition for the stability of the closed-loop system with sampled-data control, in terms of linear matrix inequalities(LMIs). The key techniques to obtain such a stability condition are to employ generalized Lyapunov function and Leibniz-Newton formula. These lead to a less conservative stability condition. Based on such a stability condition, we also propose a design method of sampleddata state feedback controller for time-delay systems. Furthermore, we extend our results to a class of uncertain time-delay systems. Mathematics Subject Classification: 93E20
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