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Algorithms for constructing controllers simultaneously stabilizing second-order linear plants

Algorithms for constructing controllers simultaneously stabilizing second-order linear plants We consider the simultaneous stabilization problem for second-order linear scalar stationary plants and obtain an easy-to-verify necessary condition for simultaneous stabilization as well as a sufficient condition with a constructive algorithm for designing a stabilizing controller. The problem of extending a set of simultaneously stabilizable plants is considered as well. To solve these problems, we use an approach based on the consideration of parametric spaces of polynomials and transfer functions and on a method for finding the stability radii of the polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Algorithms for constructing controllers simultaneously stabilizing second-order linear plants

Differential Equations , Volume 44 (5) – Jul 19, 2008

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References (2)

Publisher
Springer Journals
Copyright
Copyright © 2008 by MAIK Nauka
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266108050054
Publisher site
See Article on Publisher Site

Abstract

We consider the simultaneous stabilization problem for second-order linear scalar stationary plants and obtain an easy-to-verify necessary condition for simultaneous stabilization as well as a sufficient condition with a constructive algorithm for designing a stabilizing controller. The problem of extending a set of simultaneously stabilizable plants is considered as well. To solve these problems, we use an approach based on the consideration of parametric spaces of polynomials and transfer functions and on a method for finding the stability radii of the polynomials.

Journal

Differential EquationsSpringer Journals

Published: Jul 19, 2008

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