Reliable Robust Control for Semi-Markovian Jump Sampled-data Systems Based on a Dissipativity Unified Framework

• DOI: 10.1007/s12555-018-0825-z
• Publication Date: 2019-05-27T15:02:21Z
• Authors: Yutong Zhang; Yuechao Ma; Lei Fu; Wenying Zhao
• Keywords: Stability theory

This paper is concerned with the reliable robust control for semi-Markovian jump sampled-data systems. A mode-dependent Lyapunov-Krasovskii function (LKF) which fully capture the available characteristics of real sampling period is constructed. Based on the LKF approach, Newton-Leibniz condition and convex combination method, less conservative sufficient conditions are presented, which ensure that the closed-loop systems are robust asymptotically stable and extended-dissipativity. Then, actuator failures are taken into consideration, the desired sampled-data controller can be obtained by solving the linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.