Delay‐dependent H∞ performance analysis and filtering for Markovian jump systems with interval time‐varying delays |
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Authors: | Xudong Zhao Qingshuang Zeng |
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Affiliation: | Space Control and Inertial Technology Institute, Harbin Institute of Technology, Yikuang Street, 150001 Harbin, People's Republic of China |
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Abstract: | This paper investigates the problems of H∞ disturbance attenuation and H∞ filtering for Markovian jump systems with interval time‐varying delays. In terms of linear matrix inequalities, a less conservative delay‐range‐dependent H∞ performance condition for Markovian jump systems is proposed by constructing a different Lyapunov–Krasovskii functional. The resulting criterion has advantages over some previous ones in that they involve fewer matrix variables, but has less conservatism. Based on this new condition, an improved H∞ filtering algorithm is developed. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper. Copyright © 2009 John Wiley & Sons, Ltd. |
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Keywords: | H∞ performance filtering Markovian jump systems linear matrix inequalities |
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