A new model reduction scheme for k-power bilinear systems

Author

Al-baiyat, Samir A. ; Bettayeb, Maamar

Author_Institution

Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

fYear

1993

fDate

15-17 Dec 1993

Firstpage

22

Abstract

A model reduction scheme of k-power bilinear systems is proposed in this work. The canonical state space structure of k-power systems is used to simplify a balancing like model reduction scheme for bilinear systems. The derived model reduction algorithm reduces to computational steps similar in complexity to the balanced approximation of linear systems. Controllability and observability gramians turn out to have simple block diagonal structures and their properties are easily derived. The simulation of an 11th order system shows good performances of the reduced order models

Keywords

controllability; large-scale systems; linear systems; nonlinear control systems; observability; state-space methods; balancing; block diagonal structures; canonical state space structure; controllability gramians; k-power bilinear systems; model reduction scheme; observability gramians; Adaptive filters; Approximation algorithms; Equations; Linear approximation; Linear systems; Minerals; Nonlinear systems; Petroleum; Reduced order systems; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325196

Filename

325196