A new model reduction scheme for k-power bilinear systems

S.A. Al-Baiyat; M. Bettayeb; IEEE

doi:10.1109/CDC.1993.325196

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A new model reduction scheme for k-power bilinear systems

S.A. Al-Baiyat, M. Bettayeb and IEEE

Proceedings of 32nd IEEE Conference on Decision and Control, pp.22-27 vol.1

1993

DOI: https://doi.org/10.1109/CDC.1993.325196

Abstract

Adaptive filters

Approximation algorithms

Equations

Linear approximation

Linear systems

Minerals

Nonlinear systems

Petroleum

Reduced order systems

State-space methods

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.< >

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Title: A new model reduction scheme for k-power bilinear systems
Creators - without role: S.A. Al-Baiyat - King Fahd University of Petroleum and Minerals
M. Bettayeb - King Fahd University of Petroleum and Minerals
IEEE
Publication Details: Proceedings of 32nd IEEE Conference on Decision and Control, pp.22-27 vol.1
Publisher: IEEE
Identifiers: 9935509608331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Conference proceeding