Optimization of bilinear systems using higher-order method

Author

Agrawal, Sunil K. ; Xu, Xiaochun ; Faiz, Nadeem

Author_Institution

Dept. of Mech. Eng., Delaware Univ., Newark, DE, USA

Volume

2

fYear

1999

fDate

2-4 Jun 1999

Firstpage

905

Abstract

This paper derives some optimization results for bilinear systems using higher-order method by characterizing them over matrix Lie groups. In the derivation of the results, a bilinear system is first transformed to a left-invariant system on matrix Lie groups. The product of exponential representation is then used to express this system in a canonical form. The conditions for optimality are then obtained by the principles of variational calculus. It is demonstrated that closed-form analytical solutions exist for classes of bilinear systems whose Lie algebra is nilpotent

Keywords

Lie groups; bilinear systems; matrix algebra; optimal control; variational techniques; bilinear system optimization; canonical form; closed-form analytical solutions; high-order method; left-invariant system; matrix Lie groups; nilpotent Lie algebra; variational calculus; Algebra; Artificial intelligence; Books; Calculus; Cost function; Ear; Mechanical engineering; Nonlinear systems; Optimization methods; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.783171

Filename

783171