Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2018; 16(3): 1459-1468

Published online April 3, 2018

https://doi.org/10.1007/s12555-017-0393-7

© The International Journal of Control, Automation, and Systems

Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

Hui Gao, Jianwei Xia*, and Guangming Zhuang

Liaocheng University

Abstract

This paper investigates the problem of finite-time extended dissipative analysis and control for a class of uncertain switched time delay systems, where the uncertainties satisfy the polytopic form. By using the average dwell-time and linear matrix inequality technique, some sufficient conditions are proposed to guarantee that the switched system is finite-time bounded and has finite-time extended dissipative performance, where the H∞, L2􀀀L∞, Passivity and (Q, S, R)-dissipativity performance can be solved simultaneously in a unified framework based on the concept of extended dissipative. Furthermore, a state feedback controller is presented to guarantee that the closedloop system is finite-time bounded and satisfies the extended dissipative performance. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method."

Keywords Average dwell-time, extended dissipative, finite-time, switch, time delay.

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2018; 16(3): 1459-1468

Published online June 1, 2018 https://doi.org/10.1007/s12555-017-0393-7

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

Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

Hui Gao, Jianwei Xia*, and Guangming Zhuang

Liaocheng University

Abstract

This paper investigates the problem of finite-time extended dissipative analysis and control for a class of uncertain switched time delay systems, where the uncertainties satisfy the polytopic form. By using the average dwell-time and linear matrix inequality technique, some sufficient conditions are proposed to guarantee that the switched system is finite-time bounded and has finite-time extended dissipative performance, where the H∞, L2􀀀L∞, Passivity and (Q, S, R)-dissipativity performance can be solved simultaneously in a unified framework based on the concept of extended dissipative. Furthermore, a state feedback controller is presented to guarantee that the closedloop system is finite-time bounded and satisfies the extended dissipative performance. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method."

Keywords: Average dwell-time, extended dissipative, finite-time, switch, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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