Dynamic switching based fuzzy control strategy for a class of distributed parameter system |
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| Affiliation: | 1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China;2. Department of Systems Engineering & Engineering Management, City University of Hong Kong, Hong Kong;3. Faculty of Science and Technology, University of Macau, Av. Padre Tomás Pereira, Taipa, Macau, China;1. Department of Electrical, Electronic, and Computer Engineering, University of Pretoria, Pretoria, South Africa;2. Indian Institute of Science Bangalore, Bangalore, India;1. Department of Informatics, Agrifood Campus of International Excellence ceiA3, CIESOL Research Center on Solar Energy, University of Almería, 04120 Almería, Spain;2. Department of Automatic Control, Lund University, Box 118, SE-22100 Lund, Sweden;1. School of Mechatronics Engineering, Korea University of Technology and Education, Cheonan 31253, Republic of Korea;2. Agency for Defense Development, Daejeon 34188, Republic of Korea;3. School of Robotics, Kwangwoon University, Seoul 01897, Republic of Korea;4. ASRI, Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Republic of Korea;1. Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria, South Africa;2. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India |
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| Abstract: | In this work, a dynamic switching based fuzzy controller combined with spectral method is proposed to control a class of nonlinear distributed parameter systems (DPSs). Spectral method can transform infinite-dimensional DPS into finite ordinary differential equations (ODEs). A dynamic switching based fuzzy controller is constructed to track reference values for the multi-inputs multi-outputs (MIMO) ODEs. Only a traditional fuzzy logic system (FLS) and a rule base are used in the controller, and membership functions (MFs) for different ODEs are adjusted by scaling factors. Analytical models of the dynamic switching based fuzzy controller are deduced to design the scaling factors and analyze stability of the control system. In order to obtain a good control performance, particle swarm optimization (PSO) is adopted to design the scaling factors. Moreover, stability of fuzzy control system is analyzed by using the analytical models, definition of the stability and Lyapunov stability theory. Finally, a nonlinear rod catalytic reaction process is used as an illustrated example for demonstration. The simulation results show that performance of proposed dynamic switching based fuzzy control strategy is better than a multi-variable fuzzy logic controller. |
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| Keywords: | Distributed parameter system Particle swarm optimization Dynamic switching Fuzzy logic controller Spectral method |
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