The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach
type: Item
instance of: scholarly article
title: The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach
zbMATH Open document ID: 1008.93054
DOI: 10.1016/S0005-1098(02)00035-3
author: G. Garcia
author: Jamal Daafouz
author: J. Bernussou
published in: Automatica
publication date: 2002-09-05T00:00:00Z
review text: The paper is concerned with the control of a system governed by singularly perturbed ordinary differential equations. This system is used to define reduced and well-behaved problems. It is shown that the \(H_2\) optimization control problem with a pole located in a sector can be solved using the LMI approach. Some considerations concerning the range of use of the decentralized control structure are outlined. The decentralized control problem is solved on the reduced slow subsystem. In doing so, the authors introduce structure constraints on the matrix variables which do not destroy the linearity and then the convexity of the problem. After the slow and fast subproblems are solved, the composite control is obtained. A numerical example is presented.
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 15A39
Mathematics Subject Classification ID: 93A14
zbMATH DE Number: 1797123
zbMATH Keywords: linear quadratic control problems
zbMATH Keywords: decentralized control
zbMATH Keywords: singular perturbations
zbMATH Keywords: pole placement problems
zbMATH Keywords: convex optimization
zbMATH Keywords: linear matrix inequality
reviewed by: Elena Ya. Gorelova
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00035-3
OpenAlex ID: W2070756668
description: scientific article; zbMATH DE number 1797123