Optimization of Parameters of Asymptotically Stable Systems | Zendy

Anna Guerman | Zendy; Ana Seabra | Zendy; Georgi Smirnov | Zendy

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Optimization of Parameters of Asymptotically Stable Systems

Author(s) -

Anna Guerman,

Ana Seabra,

Georgi Smirnov

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/526167

Subject(s) - mathematical optimization , stability theory , optimization problem , stability (learning theory) , computer science , mathematics , differential (mechanical device) , engineering , physics , quantum mechanics , nonlinear system , machine learning , aerospace engineering

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

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