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Multivariable controller tuning for suppression of closed-loop interaction using frequency response dataset

Multivariable controller tuning for suppression of closed-loop interaction using frequency... This paper proposes a multivariable controller design method using frequency response data. The proposed method evaluates diagonal dominance in a closed-loop manner by shaping singular values and designs a controller by solving an optimisation problem that involves non-convex quadratic matrix inequalities. This optimisation problem is rewritten as linear matrix inequalities (LMI) by introducing iterative LMI constrains. The highly diagonal dominant controller is designed by repeating update of the optimisation problem and convex optimisation. This optimisation algorithm guarantees monotonically convergence of an evaluation value in terms of iteration. The experimental results show the effectiveness of the proposed method in comparison with the conventional method. Keywords: concave-convex procedure; closed-loop interaction; mutivariable control system; frequency response. Reference to this paper should be made as follows: Yubai, K., Shinoda, S., Yashiro, D. and Hirai, J. (2016) `Multivariable controller tuning for suppression of closed-loop interaction using frequency response dataset', Int. J. Advanced Mechatronic Systems, Vol. 7, No. 2, pp.71­80. Biographical notes: Kazuhiro Yubai received his BE, ME and PhD in Electrical Engineering from the Nagoya University, Nagoya, Japan in 1996, 1998 and 2000, respectively. Since April 2000, he has been with the Department of Electrical and Electronic Engineering, Mie University, Tsu, Japan, where http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Advanced Mechatronic Systems Inderscience Publishers

Multivariable controller tuning for suppression of closed-loop interaction using frequency response dataset

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Publisher
Inderscience Publishers
Copyright
Copyright © 2016 Inderscience Enterprises Ltd.
ISSN
1756-8412
eISSN
1756-8420
DOI
10.1504/IJAMECHS.2016.082627
Publisher site
See Article on Publisher Site

Abstract

This paper proposes a multivariable controller design method using frequency response data. The proposed method evaluates diagonal dominance in a closed-loop manner by shaping singular values and designs a controller by solving an optimisation problem that involves non-convex quadratic matrix inequalities. This optimisation problem is rewritten as linear matrix inequalities (LMI) by introducing iterative LMI constrains. The highly diagonal dominant controller is designed by repeating update of the optimisation problem and convex optimisation. This optimisation algorithm guarantees monotonically convergence of an evaluation value in terms of iteration. The experimental results show the effectiveness of the proposed method in comparison with the conventional method. Keywords: concave-convex procedure; closed-loop interaction; mutivariable control system; frequency response. Reference to this paper should be made as follows: Yubai, K., Shinoda, S., Yashiro, D. and Hirai, J. (2016) `Multivariable controller tuning for suppression of closed-loop interaction using frequency response dataset', Int. J. Advanced Mechatronic Systems, Vol. 7, No. 2, pp.71­80. Biographical notes: Kazuhiro Yubai received his BE, ME and PhD in Electrical Engineering from the Nagoya University, Nagoya, Japan in 1996, 1998 and 2000, respectively. Since April 2000, he has been with the Department of Electrical and Electronic Engineering, Mie University, Tsu, Japan, where

Journal

International Journal of Advanced Mechatronic Systems – Inderscience Publishers

Published: Jan 1, 2016

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