Regular Papers

International Journal of Control, Automation and Systems 2019; 17(8): 2059-2068

Published online May 27, 2019

https://doi.org/10.1007/s12555-018-0825-z

© The International Journal of Control, Automation, and Systems

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

Yutong Zhang, Yuechao Ma*, Lei Fu, and Wenying Zhao

Yanshan University

Abstract

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.

Keywords Actuator fault, extended dissipative, linear matrix inequalities (LMIs), sampled-data control, semiMarkovian jump systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2019; 17(8): 2059-2068

Published online August 1, 2019 https://doi.org/10.1007/s12555-018-0825-z

Copyright © The International Journal of Control, Automation, and Systems.

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

Yutong Zhang, Yuechao Ma*, Lei Fu, and Wenying Zhao

Yanshan University

Abstract

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.

Keywords: Actuator fault, extended dissipative, linear matrix inequalities (LMIs), sampled-data control, semiMarkovian jump systems.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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