A tuning strategy for multivariable PI and PID controllers using differential evolution combined with chaotic Zaslavskii map |
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Authors: | Leandro dos Santos Coelho Marcelo Wicthoff Pessôa |
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Affiliation: | 1. Computer Science Institute, University of Campinas — UNICAMP — Brazil;2. Computer Science Departament, University of Alberta, Canada;1. Center for Nonlinear Systems, Chennai Institute of Technology, India;2. Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Serdivan, Sakarya, Turkey;3. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;4. Department of Electrical Engineering, VNIT, Nagpur, Maharashtra, 440010, India;5. Department of Electrical Engineering, National Institute of Technology Silchar, Silchar, 788010, Assam, India;6. Department of Computer Engineering, Faculty of Engineering, Hitit University, Corum, Turkey;1. Centre for Process Systems Engineering; Department of Chemical Engineering; University College London; London, United Kingdom |
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Abstract: | A technique for tuning of decoupled proportional-integral (PI) and proportional-integral-derivative (PID) multivariable controllers based on a chaotic differential evolution (DE) approach is presented in this paper. Due to the simple concept, easy implementation and quick convergence, nowadays DE has gained much attention and wide application in solving continuous non-linear optimization problems. However, the performance of DE greatly depends on its control parameters and it often suffers from being trapped in local optimum. The application of chaotic sequences based on chaotic Zaslavskii map instead of random sequences in DE is a powerful strategy to diversify the population and improve the DE’s performance in preventing premature convergence to local optima. The optimized PD and PID controllers shows good closed-loop responses in control of the binary Wood–Berry distillation column, a multivariable process with strong interactions between input and output pairs. Some comparison results of PD and PID tuning using chaotic DE, classical DE and genetic algorithm are presented and discussed. |
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