An improvement on multivariable PID controller design via iterative LMI approach.
type: Item
instance of: scholarly article
title: An improvement on multivariable PID controller design via iterative LMI approach.
zbMATH Open document ID: 1051.93037
author: Chong Lin
author: Qing-Guo Wang
author: Tong Heng Lee
published in: Automatica
publication date: 2004-03-14T00:00:00Z
review text: This note improves on a recent result on multivariable proportional integral derivative (PID) control design via convex linear matrix inequality (LMI) optimization. Building on the original idea, which is to transform the multivariable PID design problem into a static output feedback design problem, the note removes a technical invertibility constraint and simplifies the design procedure. This can also be extended to uncertain systems and robust PID control. PID design, like static output feedback design, boils down to nonconvex nonlinear matrix inequality optimization, so that a heuristic based on solving iteratively a sequence of convex LMI problems must be used, without guarantee of convergence.
reviewed by: Didier Henrion
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 15A39
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 2056282
zbMATH Keywords: PID control
zbMATH Keywords: multivariable systems
zbMATH Keywords: computer-aided control system design
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: static output feedback design
zbMATH Keywords: invertibility constraint
MaRDI profile type: Publication
full work available at URL: j.automatica.2003.10.008
OpenAlex ID: W2144878528
cites work: Static output feedback stabilization: An ILMI approach
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cites work: On the design of multivariable PID controllers via LMI approach.
DOI: 10.1016/J.AUTOMATICA.2003.10.008
description: scientific article; zbMATH DE number 2056282