Centralized PI controller design method for MIMO processes based on frequency response approximation

Sreya Ghosh

doi:10.1016/j.isatra.2020.10.041

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Centralized PI controller design method for MIMO processes based on frequency response approximation

2021-04-01

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Sreya Ghosh *

Somnath Pan

DOI：10.1016/j.isatra.2020.10.041

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Abstract

En 中文

A simple method of controller design for multi-input multi-output (MIMO) processes have been proposed in frequency domain. The intensive calculation for the inverse of the process transfer function matrix is simplified to a great extent by evaluating the process transfer function matrix at a low frequency point. The desired closed loop transfer functions are derived for the process using a single tuning parameter for each diagonal element of the process transfer function matrix which represents the desired closed loop time constant. Centralized PI controllers are then designed using a model matching technique by evaluating the transfer functions at a low frequency point. The PI controllers provide acceptable performances for lag dominated as well as time-delay dominated processes and is also applicable to high-dimensional processes. The proposed method is extended for the non-square MIMO processes using two approaches one of which squares up the process transfer function matrix to apply the proposed technique while the other is based on pseudo-inverse evaluation of the process transfer function matrix at a low frequency point. (C) 2020 ISA. Published by Elsevier Ltd. All rights reserved.

Keywords:

Multivariable process

Non-square system

High-dimensional MIMO process

PI controller

Centralized control

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