Stabilization of linear systems with fixed order controllers
type: Item
instance of: scholarly article
title: Stabilization of linear systems with fixed order controllers
zbMATH Open document ID: 0632.93060
DOI: 10.1016/0024-3795(88)90160-7
author: Lee H. Keel
author: J. W. Howze
author: Shankar P. Bhattacharyya
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: The paper is concerned with the problem of stabilizing a linear time- invariant plant via output feedback. Existing techniques aiming at pole placement ususally require high order controllers of the type of a Luenberger observer. The paper suggests a method which allows construction of low order controllers if only stabilization is desired. To this end the coefficients of the pth order controller transfer function are mapped on the coefficients of the characteristic polynomial of the resulting closed-loop system. Linear programming techniques are applied for successive selection of Hurwitz polynomials to make the largest stability hypersphere intersect a linear subspace determined by the plant parameters and the order of the controller. Occurence of such an intersection by successively updating the order of the controller is sufficient for stabilizability. Numerical examples demonstrate that a controller with order far less than that of a pole placement controller can be obtained.
reviewed by: D.Franke
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D25
zbMATH DE Number: 4029410
zbMATH Keywords: output feedback
zbMATH Keywords: low order controllers
zbMATH Keywords: stabilization
zbMATH Keywords: Hurwitz polynomials
zbMATH Keywords: time-invariant
zbMATH Keywords: continuous-time
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90160-7
OpenAlex ID: W2010767457
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description: scientific article; zbMATH DE number 4029410