New model reduction scheme for k-power bilinear systems

Samir A. Al-Baiyat; Maamar Bettayeb

New model reduction scheme for k-power bilinear systems

Samir A. Al-Baiyat^*
, Maamar Bettayeb

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

44 Scopus citations

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.

Original language	English
Pages (from-to)	22-27
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
State	Published - 1993

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Cite this

@article{2f609e4fac454567b21f9fabdcc3b7e1,

title = "New model reduction scheme for k-power bilinear systems",

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.",

author = "Al-Baiyat, \{Samir A.\} and Maamar Bettayeb",

year = "1993",

language = "English",

volume = "1",

pages = "22--27",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - New model reduction scheme for k-power bilinear systems

AU - Al-Baiyat, Samir A.

AU - Bettayeb, Maamar

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0027726721

M3 - Conference article

AN - SCOPUS:0027726721

SN - 0743-1546

VL - 1

SP - 22

EP - 27

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

New model reduction scheme for k-power bilinear systems

Abstract

ASJC Scopus subject areas

Fingerprint

Cite this