Multivariable Fractional-Order Controller Design of Nonlinear Dual Tank Device

Ryota Kochi; Mingcong Deng

doi:10.20944/preprints202312.0333.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 5 December 2023 / Approved: 6 December 2023 / Online: 6 December 2023 (10:16:20 CET)

Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual tank device are precisely formulated by fractional calculus. Using the accurate model, multivariable Fractional-Order Controller is designed for the nonlinear device. The merits of the fractional-order design include: 1) Control of multivariable nonlinearities, 2) Compensation of uncertainties, 3) Elimination of coupling effects. Simulations and experiments are conducted to verify the precision of the fractional order models and the effectiveness of the multivariable fractional-order control design.

dual tank device; operator theory; nonlinear control; right coprime factorization; fractional calculus; Multivariable fractional-order controller

Engineering, Electrical and Electronic Engineering

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Multivariable Fractional-Order Controller Design of Nonlinear Dual Tank Device

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