Multivariable Static Output Feedback Control of a Binary Distillation Column using Linear Matrix Inequalities and Genetic Algorithm

Kalpana R.; Harikumar Kandath; Senthilkumar J.; Balasubramanian G.; Abhay S. Gour

doi:10.20944/preprints201712.0184.v1

Preprint Article Version 1 This version is not peer-reviewed

Multivariable Static Output Feedback Control of a Binary Distillation Column using Linear Matrix Inequalities and Genetic Algorithm

Kalpana R. ,

Harikumar Kandath ^* ,

Senthilkumar J. ,

Balasubramanian G. ,

Abhay S. Gour

Version 1 : Received: 25 December 2017 / Approved: 26 December 2017 / Online: 26 December 2017 (05:22:09 CET)

How to cite: R., K.; Kandath, H.; J., S.; G., B.; Gour, A.S. Multivariable Static Output Feedback Control of a Binary Distillation Column using Linear Matrix Inequalities and Genetic Algorithm. Preprints 2017, 2017120184 (doi: 10.20944/preprints201712.0184.v1). R., K.; Kandath, H.; J., S.; G., B.; Gour, A.S. Multivariable Static Output Feedback Control of a Binary Distillation Column using Linear Matrix Inequalities and Genetic Algorithm. Preprints 2017, 2017120184 (doi: 10.20944/preprints201712.0184.v1).

Abstract

The current work addresses the control of two-input two-output (TITO) Wood and Berry model of a binary distillation column. The controller design problem is formulated in terms of multivariable H_∞ control synthesis. The controller structure takes the form of simplest static output feedback (SOF) control. The controller synthesis is performed using a hybrid approach of blending linear matrix inequalities (LMI) and genetic algorithm (GA). The performance of the static output feedback controller is compared with three other controllers designed for Wood and Berry model available in the literature. The first simulation study is performed for the case of tracking a unit step command in the presence of a step change in output disturbance. A second simulation study is performed for rejecting a change in sinusoidal output disturbance.

Subject Areas

distillation column; disturbance rejection; genetic algorithm; H∞ control; linear matrix inequalities; static output feedback

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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