Title :
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
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;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325196
