A generalized approach to stabilization of linear interconnected time‐delay systems |
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| Authors: | Magdi S Mahmoud Yuanqing Xia |
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| Affiliation: | 1. Systems Engineering Department, King Fahd University of Petroleum and Minerals, P. O. Box 985, Dhahran 31261, Saudi Arabia;2. Automatic Control Department, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | The objective of this paper is to propose a generalized approach to stabilization of systems which are composed of linear time‐delay subsystems coupled by linear time‐varying interconnections. The proposed algorithms, which are formulated within the convex optimization framework, provide decentralized solutions to the problem of delay‐dependent asymptotic stability with strict dissipativity. It is established that the new methodology can reproduce earlier results on passivity, positive realness and disturbance attenuation. Then a decentralized structure of dissipative state‐feedback controllers is designed to render the closed‐loop interconnected system delay‐dependent asymptotically stable with strict dissipativity. Numerical examples are presented to illustrate the applicability of the design method. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Dissipativity interconnected time‐delay systems delay‐dependent stability local state‐feedback LMIs |
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