Stability region for a class of open-loop unstable linear systems: Theory and application
type: Item
instance of: scholarly article
title: Stability region for a class of open-loop unstable linear systems: Theory and application
zbMATH Open document ID: 0939.93033
DOI: 10.1016/S0005-1098(99)00097-7
author: L. Scibile
author: Basil Kouvaritakis
published in: Automatica
publication date: 2000-07-05T00:00:00Z
review text: Saturation of the control inputs of an open-loop unstable plant may result in closed-loop instability. Therefore, the knowledge of the stability region is necessary to determine the maximum allowable control moves/disturbances before the system is driven out of control. The problem of determining the stability region (SR) of an open unstable system under a bounded feedback control and the problem of deploying the SR in design has been investigated in many papers. Here, a method to calculate the maximum obtainable SR is given for the case of one unstable pole. Necessary stability conditions are found for the case of \(n\)-order systems with one input. Optimum controllers for unstable linear time invariant (LTI) systems with a constrained input are given. The results of the paper are illustrated by means of two numerical examples and experiments on the real COMPAS-D tokomak.
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 1389423
zbMATH Keywords: saturation
zbMATH Keywords: stability region
zbMATH Keywords: constrained input
reviewed by: Bozhidar Cheshankov
describes a project that uses: COMPAS
MaRDI profile type: Publication
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full work available at URL: s0005-1098(99)00097-7
OpenAlex ID: W2028023890
description: scientific article; zbMATH DE number 1389423