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Fractional-order IMC controller for high-order system using reduced-order modelling via Big-Bang, Big-Crunch optimisation

Saxena, S and Biradar, S (2022) Fractional-order IMC controller for high-order system using reduced-order modelling via Big-Bang, Big-Crunch optimisation. In: International Journal of Systems Science, 53 (1). pp. 168-181.

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Official URL: https://doi.org/10.1080/00207721.2021.1942587


Striking developments have taken place in feedback control theory after the evolution of the fractional-order (FO) control concept. However, for large-scale (high-order) systems, these well-established FO techniques become rigorous and lead to an infeasible solution. To overcome this issue, this paper proposes a three-fold control policy. The first step finds the optimal reduced-order (low-order) model using Big-Bang, Big-Crunch (BB–BC) optimisation algorithm. Based on the obtained reduced model, the control structure is formulated in the internal model control (IMC) framework. The controller acquires a PID form followed by an additional term and FO integrator. Unlike the FO-PID controller which demands five tuning parameters, the proposed controller requires only two tuning parameters whose evaluation is done on the basis of user specified gain crossover frequency and phase margin. To substantiate the design approach, a detailed simulation study has been carried out, in which the problems of tracking control, disturbance rejection, and time-delay compensation are illustrated.

Item Type: Journal Article
Publication: International Journal of Systems Science
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to Taylor and Francis Ltd.
Keywords: Delay control systems; Disturbance rejection; Model predictive control; Three term control systems, Cross-over frequencies; High order systems; Infeasible solutions; Internal model control; Reduced order modelling; Simulation studies; Time delay compensation; Tracking controls, Controllers
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 06 Aug 2021 10:21
Last Modified: 16 Sep 2022 05:33
URI: https://eprints.iisc.ac.in/id/eprint/69025

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