Improved stabilization criteria for fuzzy systems under variable sampling |
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| Authors: | Chao Ge Hong Wang Yajuan Liu Ju H Park |
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| Institution: | 1. Institute of Information Engineering, North China University of Science and Technology, Tangshan 063009, PR China;2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, PR China |
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| Abstract: | This paper investigates the problem of stabilization for fuzzy sampled-data systems with variable sampling. A novel Lyapunov–Krasovskii functional (LKF) is introduced to the fuzzy systems. The benefit of the new approach is that the LKF develops more information about actual sampling pattern of the fuzzy sampled-data systems. In addition, some symmetric matrices involved in the LKF are not required to be positive definite. Based on a recently introduced Wirtinger-based integral inequality that has been shown to be less conservative than Jensen’s inequality, much less conservative stabilization conditions are obtained. Then, the corresponding sampled-data controller can be synthesized by solving a set of linear matrix inequalities (LMIs). Finally, an illustrative example is given to show the feasibility and effectiveness of the proposed method. |
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| Keywords: | Corresponding author |
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