<p>Fractional order systems have attracted more and more attention in different fields. The potential of fractional calculus as a useful tool for describing the complex physical world has been recognized by more researchers. In recent years, the designing of fractional order controllers towards fractional order plants has been one of the focus areas. However the controller design techniques available mostly focus on single input single output (SISO) system, while in real application occasions, multiple inputs multiple outputs (MIMO) systems are more widely used. This paper deals with the design of controllers for MIMO fractional order systems. A method to synthetize controller based on the eigenvalue function and singular value decomposition (SVD) is proposed originated from RFN method with aid of fractional order transfer function (FOTF) MATLAB toolbox for computation and approximation. Instead of setting specification to the controller, the method proposed aiming at achieving the target closed-loop control effect of the system as well as maintaining a robust control. Models evolved from fractional-order Proportional-Integral-Derivative (fPID) controller are selected to form the designed multivariable controller. Optimization algorithm has been used to look for parameters of the model.&nbsp;The effectiveness and robustness of the proposed method and gain balance technique is illustrated by an example via simulation.&nbsp;</p>

An Approach to Design Controllers for MIMO Fractional Order System Based on RFN Method

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE2021)

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