Optimization of Parameters of Asymptotically Stable Systems

Optimization of Parameters of Asymptotically Stable Systems

This work deals with numerical methods of parameter optimization for asymptotically stable systems. We formulate a special mathematical programming problem that allows us to determine optimal parameters of a stabilizer. This problem involves solutions to a differential equation. We show how to chose...

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Main Authors: Anna Guerman, Ana Seabra, Georgi Smirnov
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/526167
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spelling doaj-a17966345fef40d8b2f6937cdc91f8572020-11-24T20:57:08ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/526167526167Optimization of Parameters of Asymptotically Stable SystemsAnna Guerman0Ana Seabra1Georgi Smirnov2Department of Electromechanical Engineering, Centre for Aerospace Science and Technologies, UBI, University of Beira Interior, Calçada Fonte do Lameiro, 6201-001 Covilhã, PortugalScientific Area of Mathematics, ESTGV, Polytechnic Institute of Viseu, Campus Politécnico, 3504-510 Viseu, PortugalDepartment of Mathematics and Applications, School of Sciences, Centre of Physics, University of Minho, Campus de Gualtar, 4710-057 Braga, PortugalThis work deals with numerical methods of parameter optimization for asymptotically stable systems. We formulate a special mathematical programming problem that allows us to determine optimal parameters of a stabilizer. This problem involves solutions to a differential equation. We show how to chose the mesh in order to obtain discrete problem guaranteeing the necessary accuracy. The developed methodology is illustrated by an example concerning optimization of parameters for a satellite stabilization system.http://dx.doi.org/10.1155/2011/526167
collection DOAJ
language English
format Article
sources DOAJ
author Anna Guerman
Ana Seabra
Georgi Smirnov
spellingShingle Anna Guerman
Ana Seabra
Georgi Smirnov
Optimization of Parameters of Asymptotically Stable Systems
Mathematical Problems in Engineering
author_facet Anna Guerman
Ana Seabra
Georgi Smirnov
author_sort Anna Guerman
title Optimization of Parameters of Asymptotically Stable Systems
title_short Optimization of Parameters of Asymptotically Stable Systems
title_full Optimization of Parameters of Asymptotically Stable Systems
title_fullStr Optimization of Parameters of Asymptotically Stable Systems
title_full_unstemmed Optimization of Parameters of Asymptotically Stable Systems
title_sort optimization of parameters of asymptotically stable systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description This work deals with numerical methods of parameter optimization for asymptotically stable systems. We formulate a special mathematical programming problem that allows us to determine optimal parameters of a stabilizer. This problem involves solutions to a differential equation. We show how to chose the mesh in order to obtain discrete problem guaranteeing the necessary accuracy. The developed methodology is illustrated by an example concerning optimization of parameters for a satellite stabilization system.
url http://dx.doi.org/10.1155/2011/526167
work_keys_str_mv AT annaguerman optimizationofparametersofasymptoticallystablesystems
AT anaseabra optimizationofparametersofasymptoticallystablesystems
AT georgismirnov optimizationofparametersofasymptoticallystablesystems
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