Balancing for nonlinear systems

J.M.A. Scherpen

doi:10.1016/0167-6911(93)90117-O

Balancing for nonlinear systems

J.M.A. Scherpen

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Abstract

We present a method of balancing for nonlinear systems which is an extension of balancing for linear systems in the sense that it is based on the input and output energy of a system. It is a local result, but gives 'broader' results than we obtain by just linearizing the system. Furthermore, the relation with balancing of the linearization is dealt with. We propose to use the method as a tool for nonlinear model reduction and investigate some of the properties of the reduced system.

Original language	English
Pages (from-to)	143-153
Number of pages	11
Journal	Systems & Control Letters
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(93)90117-O
Publication status	Published - 1993

Keywords

model reduction
Hamilton-Jacobi equations
Hankel singular values
nonlinear systems
balancing

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PY - 1993

Y1 - 1993

N2 - We present a method of balancing for nonlinear systems which is an extension of balancing for linear systems in the sense that it is based on the input and output energy of a system. It is a local result, but gives 'broader' results than we obtain by just linearizing the system. Furthermore, the relation with balancing of the linearization is dealt with. We propose to use the method as a tool for nonlinear model reduction and investigate some of the properties of the reduced system.

AB - We present a method of balancing for nonlinear systems which is an extension of balancing for linear systems in the sense that it is based on the input and output energy of a system. It is a local result, but gives 'broader' results than we obtain by just linearizing the system. Furthermore, the relation with balancing of the linearization is dealt with. We propose to use the method as a tool for nonlinear model reduction and investigate some of the properties of the reduced system.

KW - model reduction

KW - Hamilton-Jacobi equations

KW - Hankel singular values

KW - nonlinear systems

KW - balancing

U2 - 10.1016/0167-6911(93)90117-O

DO - 10.1016/0167-6911(93)90117-O

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VL - 21

SP - 143

EP - 153

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 2

ER -

Balancing for nonlinear systems

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Keywords

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