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Robust delay-dependent H∞ filtering for uncertain Takagi–Sugeno fuzzy neutral stochastic time-delay systems
Institution:1. College of Electronics and Information Engineering, Shunde Polytechnic, Foshan 528300, China;2. College of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China;1. Autonomous University of Hidalgo State, Mexico;2. Department of Automatic Control, CINVESTAV-IPN, Mexico;3. Autonomous University of Hidalgo State, Mexico (Master of Science student).;1. School of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, Liaoning, China;2. National Experimental Teaching Demonstration Center of Petrochemical Process Control\nLiaoning Shihua University, Fushun 113001, Liaoning, China;3. Institute of Systems Science, Northeastern University, Shenyang 110819, Liaoning, China;4. School of Information and Electrical Engineering, China University of Mining and Technology\nXuzhou 221116, Jiangsu, China;1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India;2. IT Information and control engineering, Kunsan National University, Gunsan-si, Jeollabuk-do, Republic of Korea;3. School of Civil Engineering, The University of Sydney, Australia;1. School of Electrical Engineering, Chungbuk National University, 1 Chungdae-Ro, Cheongju 28644, Republic of Korea;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. Department of Electronics Engineering, Kyungpook National University, 80 Daehak-ro, Daegu 41566, Republic of Korea
Abstract:This paper addresses the robust H filter design problem for a class of uncertain fuzzy neutral stochastic system with time-delay through Takagi–Sugeno (T–S) fuzzy model. By constructing an augmented Lyapunov–Krasovskii functional, some novel delay-dependent stability criteria for uncertain fuzzy neutral stochastic system with time varying delay are obtained in terms of linear matrix inequalities. By using the integral inequality in the neutral stochastic setting combined with delay decomposition approach, the H fuzzy filter is designed to guarantee the corresponding filtering error systems robustly asymptotically stable with a specified H performance index. At last, two numerical examples are presented to show the less conservatism than the previous results.
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