Title: Suppress of effects in steady state of disturbance and parameter deviations of generalised minimum variance control

Authors: Akira Inoue; Takao Sato; Akira Yanou; Tomohiro Henmi

Addresses: Okayama University, Okayama 700-0002, Japan ' Graduate School of Engineering, University of Hyogo, Himeji 671-2280, Japan ' Faculty of Health Science and Technology, Kawasaki University of Medical Welfare, Kurashiki 701-0193, Japan ' Faculty of Health Science and Technology, Kawasaki University of Medical Welfare, Kurashiki 701-0193, Japan

Abstract: This paper proposes a control scheme to suppress the effects in steady state on output caused by unknown disturbances to input and output and deviations of parameters in transfer functions. The scheme is based on generalised minimum variance control (GMVC). In many cases, the disturbances and parameter changes are caused by frictions, backlash, payload changes, parts replacement or aged deterioration and they are slowly changing, such as step-wise or ramp-wise. Hence in this paper, the disturbances and parameter changes are supposed to be slowly changing. First conditions to suppress effects on output of disturbances and parameter changes are obtained. Then the controller to suppress such effects are obtained by selecting parameters to satisfy the conditions of Yola-Kucera generalised stabilising controller. Numerical simulations of a model of two-degree of freedom fourth order system are given to show the effectiveness of the proposed controller.

Keywords: generalised minimum variance control; GMVC; disturbances on input and output; parameter deviations; Youla-Kucela generalised stabilising controller.

DOI: 10.1504/IJAMECHS.2023.128167

International Journal of Advanced Mechatronic Systems, 2023 Vol.10 No.1, pp.41 - 48

Received: 18 Apr 2022
Accepted: 10 Sep 2022
Published online: 09 Jan 2023 *