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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Bibliographic Details
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
Description
Summary: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.
ISSN:1024-123X
1563-5147