H∞ filtering for continuous‐time singular systems with time‐varying delay |
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Authors: | Xunlin Zhu Youyi Wang Yong Gan |
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Affiliation: | 1. School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, People's Republic of China;2. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore |
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Abstract: | This paper focuses on H∞ filter design for continuous‐time singular systems with time‐varying delay. A delay‐dependent H∞ performance analysis result is first established for error systems via a novel estimation method. By combining a well‐known inequality with a delay partition technique, the upper bound of the derivative of the Lyapunov functional is estimated more tightly and expressed as a convex combination with respect to the reciprocal of the delay rather than the delay. Based on the derived H∞ performance analysis results, a regular and impulse‐free H∞ filter is designed in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the merits of the proposed method. Copyright © 2010 John Wiley & Sons, Ltd. |
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Keywords: | singular systems time‐varying delay H∞ filter |
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