Robust H∞ control of norm bounded uncertain systems via Markovian approach |
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| Authors: | Guoliang Wang Qingling Zhang Victor Sreeram |
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| Affiliation: | 1. School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning, 113001, China;2. Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning province, 110819, China;3. School of Electrical, Electronic, and Computer Engineering, University of Western Australia, 35 Stirling Highway, Crawley, Western Australia 6009 |
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| Abstract: | This paper presents a new approach to analyze and synthesize linear uncertain systems with time‐varying norm bounded uncertainty. Firstly, the uncertainty set is classified into several different subsets according to the maximum singular value of uncertainty. Then, based on the proposed classification, the original uncertain system is transformed into a Markovian jump system. By an uncertainty‐dependent Lyapunov function, new version of bounded real lemma is developed and two sufficient conditions for designing uncertainty‐dependent controllers are established. Finally, numerical examples and simulations are used to demonstrate the utility of the given methods. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Robustness norm bounded uncertainty
H
∞ control Markovian jump systems |
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