Enhanced observer-based state estimation of discrete-time Takagi-Sugeno fuzzy systems via a distinctive multi-instant gain-scheduling law |
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| Institution: | 1. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, PR China;2. College of Automation and College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210003, PR China;3. School of Information Science and Engineering, Chengdu University, Chengdu 610106, PR China;4. School of Mechatronic Engineering and Automation, Shanghai University, 200072, PR China;1. School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, PR China;2. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China;3. Promotion China PH.D Program, BMW Brilliance Automotive Ltd., Shenyang, Liaoning 110143, PR China;1. Department of Computer, Control, and Management Engineering “Antonio Ruberti”, University of Rome La Sapienza, via Ariosto 25, Rome 00185, Italy;2. Space Research Group of the Consortium for the Research in Automation and Telecommunication (CRAT), via G. Nicotera 29, Rome 00195, Italy;1. School of Information Science and Engineering, Shandong Normal University, Jinan 250358, PR China;2. School of Electrical Engineering, University of Jinan, Jinan 250022, PR China;1. School of Electro-Mechanical Engineering, Xidian University, China;2. State Key Laboratory of Intelligent Manufacturing System Technology, Beijing Institute of Electronic System Engineering, Beijing, China;3. College of Automation, Chongqing University of Posts and Telecommunications, China;4. Inria Lille-Nord Europe, France |
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| Abstract: | In this paper, the observer-based state estimation of discrete-time Takagi-Sugeno fuzzy systems is enhanced markedly by developing a distinctive multi-instant gain-scheduling law. Firstly, the updated information of both the past-time and the current-time normalized fuzzy weighting functions is fused into the proposed multi-instant gain-scheduling law in a comprehensive way, and it is important to point out that those existing ones reported in the literature belong to special cases of ours. Secondly, a set of time-varying free matrices for constructing more relaxed fuzzy observers are introduced for the first time in accordance with different operating modes. Moreover, the time-varying free matrices are more general than those previous time-invariant ones and most of them no longer need to be positive or negative definite. Therefore, a significant reduction in conservatism can be achieved at the expense of a slight increase in offline computing burden over those competing approaches. Finally, a set of numerical simulations are implemented to verify the superiority of the designed approach. |
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