Finite Order Representations of Infinite Dimensional Bilinear Models of Nonlinear Systems

Reinhard Starkl; Luigi del Re

Finite Order Representations of Infinite Dimensional Bilinear Models of Nonlinear Systems

Reinhard Starkl
, Luigi del Re

Institute of Design and Control of Mechatronical Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

We show that QLS (quadratic linear systems) yield an exact representation of nonlinear, quadratic integrable input a¢ne system as bilinear models do. However, the QLS representation is shown to be finite dimensional in most cases, while the bilinear system usually requires an infinite dimension. The dimension of the bilinear model is never lower than the dimension of the QLS model. This paper gives sufficient conditions for a finite dimensional representation.

Original language	English
Title of host publication	Proceedings of the American Control Conference
Pages	131-136
Number of pages	6
Volume	1
Publication status	Published - Jun 2003

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Fields of science

202 Electrical Engineering, Electronics, Information Engineering
202027 Mechatronics
202034 Control engineering
203027 Internal combustion engines
206001 Biomedical engineering
206002 Electro-medical engineering
207109 Pollutant emission

Cite this

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title = "Finite Order Representations of Infinite Dimensional Bilinear Models of Nonlinear Systems",

abstract = "We show that QLS (quadratic linear systems) yield an exact representation of nonlinear, quadratic integrable input a¢ne system as bilinear models do. However, the QLS representation is shown to be finite dimensional in most cases, while the bilinear system usually requires an infinite dimension. The dimension of the bilinear model is never lower than the dimension of the QLS model. This paper gives sufficient conditions for a finite dimensional representation.",

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N2 - We show that QLS (quadratic linear systems) yield an exact representation of nonlinear, quadratic integrable input a¢ne system as bilinear models do. However, the QLS representation is shown to be finite dimensional in most cases, while the bilinear system usually requires an infinite dimension. The dimension of the bilinear model is never lower than the dimension of the QLS model. This paper gives sufficient conditions for a finite dimensional representation.

AB - We show that QLS (quadratic linear systems) yield an exact representation of nonlinear, quadratic integrable input a¢ne system as bilinear models do. However, the QLS representation is shown to be finite dimensional in most cases, while the bilinear system usually requires an infinite dimension. The dimension of the bilinear model is never lower than the dimension of the QLS model. This paper gives sufficient conditions for a finite dimensional representation.

UR - https://www.scopus.com/pages/publications/0242366129

M3 - Conference proceedings

SN - 0-7803-7897-0

VL - 1

T3 - Proceedings of the American Control Conference

SP - 131

EP - 136

BT - Proceedings of the American Control Conference

ER -

Finite Order Representations of Infinite Dimensional Bilinear Models of Nonlinear Systems

Abstract

Publication series

Fields of science

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Cite this