DocumentCode
3223592
Title
The σ-reciprocal system for model reduction of k-power bilinear systems
Author
Xie, Baohui ; Syrmos, Vassilis L.
Author_Institution
Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA
Volume
4
fYear
1996
fDate
11-13 Dec 1996
Firstpage
4294
Abstract
In this paper the σ-reciprocal system for the k-power bilinear system is defined. We introduce the σ-reciprocal bilinear system and we show that the bilinear generalized singular perturbation approximation (GSPA) is related to the direct truncation of its σ-reciprocal bilinear system. Model reduction algorithms based on the analysis of the σ-reciprocal bilinear system are given. Numerical example is reported for the proposed model reduction methods
Keywords
asymptotic stability; bilinear systems; reduced order systems; singularly perturbed systems; σ-reciprocal system; bilinear generalized singular perturbation approximation; direct truncation; k-power bilinear systems; model reduction; Algorithm design and analysis; Control systems; Ear; Fission reactors; Heat transfer; Hydraulic drives; Machine tools; Nonlinear systems; Orbital robotics; Reduced order systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location
Kobe
ISSN
0191-2216
Print_ISBN
0-7803-3590-2
Type
conf
DOI
10.1109/CDC.1996.577463
Filename
577463
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