Title: Design of poles of controller in strongly stable generalised minimum variance control using symbolic computation software

Authors: A. Inoue; Mingcong Deng

Addresses: Okayama University, Okayama 700-8564, Japan ' Department of Electrical and Electronic Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan

Abstract: This paper gives a design method to allocate straightforwardly poles of controllers of strongly stable generalised minimum variance control (GMVC) systems using symbolic computation software. Strongly stable control system has not only stable closed loop systems, but also stable controllers. To design the strongly stable systems, we need to specify both the poles of closed-loop and poles of controllers. To specify the controller's poles, so far there does not exist a straightforward method and only the trial and error method that exists. To allocate the poles directly, it is required to calculate design parameters from given desirable poles, that is, to solve several equations analytically. To calculate equations analytically, this paper proposes to use symbolic computation software. GMVC has similar mathematical method to model predictive control (GPC) and has simpler mathematical expressions than MPC. Hence in this paper, symbolic computation software is applied to the design of GMVC.

Keywords: generalised minimum variance control; GMVC design; strong stability; controller poles; symbolic computation software.

DOI: 10.1504/IJAMECHS.2013.059795

International Journal of Advanced Mechatronic Systems, 2013 Vol.5 No.5, pp.345 - 350

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 12 Mar 2014 *

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