Model reduction for quadratic-bilinear systems using nonlinear moments
File(s)
Accepted version
Author(s)
Bai, Han
Mylvaganam, Thulasi
Scarciotti, Giordano
Type
Conference Paper
Abstract
We propose a steady-state based moment matching
method for model reduction of quadratic-bilinear systems.
Considering a large-scale quadratic-bilinear system possessing a
stable equilibrium at the origin, the goal of this paper is to design
a reduced order model which maintains certain properties of the
original system. More precisely, it is required that the reduced
order model also possesses a stable equilibrium at the origin
and, further, it may be desirable that its relative degree matches
that of the original system. We use the notion of nonlinear
moments and exploit a formal power expansion to solve this
problem. Two different families of reduced order models are
provided in this paper and their use is demonstrated on an
illustrative numerical example.
method for model reduction of quadratic-bilinear systems.
Considering a large-scale quadratic-bilinear system possessing a
stable equilibrium at the origin, the goal of this paper is to design
a reduced order model which maintains certain properties of the
original system. More precisely, it is required that the reduced
order model also possesses a stable equilibrium at the origin
and, further, it may be desirable that its relative degree matches
that of the original system. We use the notion of nonlinear
moments and exploit a formal power expansion to solve this
problem. Two different families of reduced order models are
provided in this paper and their use is demonstrated on an
illustrative numerical example.
Date Issued
2022-08-05
Date Acceptance
2022-02-28
Citation
2022 European Control Conference (ECC), 2022, pp.1702-1707
Publisher
IEEE
Start Page
1702
End Page
1707
Journal / Book Title
2022 European Control Conference (ECC)
Copyright Statement
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Source
European Control Conference 2022
Publication Status
Published
Start Date
2022-07-12
Finish Date
2022-07-15
Coverage Spatial
London, UK