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...
Main Authors: | , , |
---|---|
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 |
id |
doaj-a17966345fef40d8b2f6937cdc91f857 |
---|---|
record_format |
Article |
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 |
_version_ |
1716788747881676800 |