Global fuzzy adaptive asymptotic tracking control for nonlinear reaction-diffusion equations with time-varying coefficients |
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| Institution: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;2. Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, PR China;3. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, PR China;4. School of Electrical Engineering and Automation, Qufu Normal University, Rizhao 276826, PR China;1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, PR China;3. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang, Liaoning, PR China;1. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, China;2. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China;3. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023,Jiangsu, China;4. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016,Jiangsu, China |
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| Abstract: | This study focuses on the research of the globally asymptotic tracking problem of unknown nonlinear reaction-diffusion equations with time-varying coefficients and uncertain external disturbance. Firstly, fuzzy logic systems and adaptive bounding technique are used to deal with nonlinear reaction-diffusion equations with time-varying coefficients and uncertain external disturbance. Secondly, a novel global state feedback adaptive fuzzy control algorithm is proposed to make the nonlinear reaction-diffusion equations track the target systems globally and asymptotically. In addition, the globally asymptotic tracking condition can be obtained, which overcomes the semi-global results in the existing literatures. Finally, three simulation examples are given to illustrate the feasibility and effectiveness of the proposed control protocols. |
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