IBLF-based adaptive finite-time control and modeling for continuous stirred tank reactor with output constraint |
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| Institution: | 1. School of Chemical and Environmental Engineering, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;2. College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, PR China;2. School of Automation and Software Engineering, Shanxi University, Taiyuan 030006, PR China;1. School of Science, Shenyang Jianzhu University, Shenyang, 110168, China;2. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang, 110168, China;3. Systems Engineering Institute, South China University of Technology, Guangzhou, 510640, China;1. Departamento de Automação e Sistemas, Universidade Federal de Santa Catarina, Florianópolis, Brazil;2. Université Grenoble Alpes, CNRS, Grenoble INP (Institute of Engineering, Univ. Grenoble Alpes), GIPSA-Lab, Grenoble 38000, France;3. Université de Lorraine, CNRS, CRAN, Nancy F-54000, France;1. School of Electronics Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;2. Department of Control and Instrumentation Engineering, Pukyong National University, 45 Yongsoro, Namgu, Busan 48513, Republic of Korea |
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| Abstract: | This paper studies a finite-time adaptive fuzzy control approach for a continuous stirred tank reactor (CSTR) with percent conversion constraint and uncertainties. This system is seen as a class of non-affine systems, and the system is resolved by the mean value theorem. Integral barrier Lyapunov functions (iBLFs) are used to handle output constraint in the design process of the finite-time adaptive controller. In order to calculate the time derivative of the virtual controller, a finite-time convergent differentiator (FTCD) is proposed, which can avert the issue of “explosion of complexity” in the backstepping design. Based on the finite time stability theory, the proposed approach not only ensures the closed-loop stability, but also guarantees tracking performance in a finite time. Finally, the simulation results on CSTR are showed to reveal the availability of the developed control scheme. |
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