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 basd 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 and control letters
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(93)90117-O
Publication status	Published - 1993

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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 basd 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.",

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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 basd 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.

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

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

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