Multivariable controller tuning for suppression of closed-loop interaction using frequency response dataset
by Kazuhiro Yubai; Shogo Shinoda; Daisuke Yashiro; Junji Hirai
International Journal of Advanced Mechatronic Systems (IJAMECHS), Vol. 7, No. 2, 2016

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 constraints. 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.

Online publication date: Fri, 03-Mar-2017

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