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

Hui Gao, Jianwei Xia*, and Guangming Zhuang
International Journal of Control, Automation, and Systems, vol. 16, no. 3, pp.1459-1468, 2018

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."

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

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