Robust H2/H∞ control for time‐delay systems with polytopic uncertainty |
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| Authors: | Man Sun Yingmin Jia Junping Du Fashan Yu |
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| Affiliation: | 1. Seventh Research Division, Beihang University (BUAA), Beijing 100083, China;2. Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;3. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, Henan, China |
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| Abstract: | In this paper, new separated H∞ and H2 performance criteria are derived for a class of time‐delay systems. When used in robust performance analysis and synthesis for real polytopic uncertainty and in multiobjective controller synthesis, they can partially rule out the technical restriction of using a single Lyapunov function, and therefore, lead to potentially less conservative linear matrix inequality (LMI) characterizations. Based on the criteria, robust multiobjective H2/H∞ controller is designed for time‐delay systems with polytopic uncertainty. All the conditions are given in terms of LMIs. Numerical examples are given to illustrate the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Time‐delay linear matrix inequalities polytopic uncertainty multiobjective H2/H∞ control |
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