Optimization of Parameters of Asymptotically Stable Systems. (15th February 2011)

• Record Type: Journal Article
• Authors: Guerman, Anna; Seabra, Ana; Smirnov, Georgi
• Other Names: Gottlieb Oded Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2011(2011)
• Publication Date: 2011-02-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2011/526167
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.