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Decentralized Fuzzy Control for Minimum and Non-minimum Phase of a Coupled Four-Tank System

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Proceedings of the 7th Brazilian Technology Symposium (BTSym’21) (BTSym 2021)

Abstract

In this paper, a coupled four-tank MIMO process is controlled for its minimum and non-minimum phase based on the fuzzy control method. The model of this system has a multivariable zero, which can be moved along the real axis to set its system phase by adjusting two hydraulic valves. The location of the poles and zeros of a system directly influences its stability and control effort. The proposed control for this process is based on a three-block decentralized fuzzy logic control, where each one is specialized in an operating mode defined by the system phase. Therefore, this proposal is more computationally efficient than a single high-dimensional fuzzy controller. The design of the proposed fuzzy rules and membership functions are based on prior knowledge of the system. Simulation results show the performance for the three decentralized fuzzy controllers, so a useful control response that considers settling time, error band, and overshoot requirements, is achieved in both minimum and non-minimum phases of the system.

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Correspondence to Jhon Bayona .

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Bayona, J., Narvaez, D.I., Alegria, E.J. (2022). Decentralized Fuzzy Control for Minimum and Non-minimum Phase of a Coupled Four-Tank System. In: Iano, Y., Saotome, O., Kemper Vásquez, G.L., Cotrim Pezzuto, C., Arthur, R., Gomes de Oliveira, G. (eds) Proceedings of the 7th Brazilian Technology Symposium (BTSym’21). BTSym 2021. Smart Innovation, Systems and Technologies, vol 295. Springer, Cham. https://doi.org/10.1007/978-3-031-08545-1_64

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  • DOI: https://doi.org/10.1007/978-3-031-08545-1_64

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08544-4

  • Online ISBN: 978-3-031-08545-1

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