Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems

Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems

A control law for retarded time-delay systems is considered, concerning infinite closed-loop spectrum assignment. An algebraic method for spectrum assignment is presented with a unique optimization algorithm for minimization of spectral abscissa and effective shaping of the chains of infinitely many...

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Main Authors: Nikolaj Semenič, Andrej Sarjaš, Amor Chowdhury, Rajko Svečko
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/930697
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spelling doaj-06b7d36805304193ab9597a0e97620252020-11-24T21:57:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/930697930697Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay SystemsNikolaj Semenič0Andrej Sarjaš1Amor Chowdhury2Rajko Svečko3Margento R&D, Gosposvetska c. 84, 2000 Maribor, SloveniaFaculty of Electrical Engineering and Computer Science, University of Maribor, Smetanova Ulica 17, 2000 Maribor, SloveniaMargento R&D, Gosposvetska c. 84, 2000 Maribor, SloveniaFaculty of Electrical Engineering and Computer Science, University of Maribor, Smetanova Ulica 17, 2000 Maribor, SloveniaA control law for retarded time-delay systems is considered, concerning infinite closed-loop spectrum assignment. An algebraic method for spectrum assignment is presented with a unique optimization algorithm for minimization of spectral abscissa and effective shaping of the chains of infinitely many closed-loop poles. Uncertainty of plant delays of a certain structure is considered in a sense of a robust simultaneous stabilization. Robust performance is achieved using mixed sensitivity design, which is incorporated into the addressed control law.http://dx.doi.org/10.1155/2014/930697
collection DOAJ
language English
format Article
sources DOAJ
author Nikolaj Semenič
Andrej Sarjaš
Amor Chowdhury
Rajko Svečko
spellingShingle Nikolaj Semenič
Andrej Sarjaš
Amor Chowdhury
Rajko Svečko
Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems
Mathematical Problems in Engineering
author_facet Nikolaj Semenič
Andrej Sarjaš
Amor Chowdhury
Rajko Svečko
author_sort Nikolaj Semenič
title Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems
title_short Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems
title_full Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems
title_fullStr Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems
title_full_unstemmed Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems
title_sort quasipolynomial approach to simultaneous robust control of time-delay systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description A control law for retarded time-delay systems is considered, concerning infinite closed-loop spectrum assignment. An algebraic method for spectrum assignment is presented with a unique optimization algorithm for minimization of spectral abscissa and effective shaping of the chains of infinitely many closed-loop poles. Uncertainty of plant delays of a certain structure is considered in a sense of a robust simultaneous stabilization. Robust performance is achieved using mixed sensitivity design, which is incorporated into the addressed control law.
url http://dx.doi.org/10.1155/2014/930697
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AT andrejsarjas quasipolynomialapproachtosimultaneousrobustcontroloftimedelaysystems
AT amorchowdhury quasipolynomialapproachtosimultaneousrobustcontroloftimedelaysystems
AT rajkosvecko quasipolynomialapproachtosimultaneousrobustcontroloftimedelaysystems
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