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
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∞, L2L∞, 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.
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.
Hui Gao, Jianwei Xia*, and Guangming Zhuang
Liaocheng University
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∞, L2L∞, 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.
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