Delay‐range‐dependent bounded real lemma for time‐delay systems |
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| Authors: | Tao Li Lei Guo Chong Lin Yuming Zhang |
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| Affiliation: | 1. Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing 210044, China and also with the Research Institute of Automation, Southeast University, Nanjing 210096, China;2. Research Institute of Automation, Southeast University, Nanjing, China, and also with the School of Instrument Science and Opto‐Electronics Engineering, Beihang University, Beijing 100083, China;3. Institute of Complexity Science, College of Automation Engineering, Qingdao University, Qingdao 266071, China |
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| Abstract: | In this paper, Bounded Real Lemma (BRL) for linear systems with time‐varying delay in a range is described. Unlike previous results, the low bound of the range is not restricted to be 0. Based on a new Lyapunov‐Krasovskii functional, a delay‐range‐dependent BRL is obtained in term of linear matrix inequality. It is shown that this new BRL can provide less conservative results than some existing ones. When time‐varying linear fractional form uncertainties appear in the delay system, a robust delay‐range‐dependent BRL is also given. Numerical examples are given to demonstrate the applicability of the proposed approach. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Delay‐range‐dependent uncertain bounded real lemma linear fractional form linear matrix inequality |
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