Contact geometry and its application to control

Peter Vassiliou

doi:10.1007/978-3-642-16135-3

Contact geometry and its application to control

Peter Vassiliou

Education Office

Research output: A Conference proceeding or a Chapter in Book › Conference contribution › peer-review

Abstract

The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group

Original language	English
Title of host publication	Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407
Editors	J Levine, P Mullhaupt
Place of Publication	Germany
Publisher	Springer
Pages	225-237
Number of pages	13
Volume	407
ISBN (Print)	9783642161346
DOIs	https://doi.org/10.1007/978-3-642-16135-3
Publication status	Published - 2009
Event	Advances in the theory of control, signals and systems with physical modelling - Lausanne, Switzerland Duration: 1 Jan 2009 → 30 Jun 2009

Conference

Conference	Advances in the theory of control, signals and systems with physical modelling
Country/Territory	Switzerland
City	Lausanne
Period	1/01/09 → 30/06/09

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10.1007/978-3-642-16135-3

Cite this

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title = "Contact geometry and its application to control",

abstract = "The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group",

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booktitle = "Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407",

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note = "Advances in the theory of control, signals and systems with physical modelling ; Conference date: 01-01-2009 Through 30-06-2009",

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Vassiliou, P 2009, Contact geometry and its application to control. in J Levine & P Mullhaupt (eds), Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407. vol. 407, Springer, Germany, pp. 225-237, Advances in the theory of control, signals and systems with physical modelling, Lausanne, Switzerland, 1/01/09. https://doi.org/10.1007/978-3-642-16135-3

Contact geometry and its application to control. / Vassiliou, Peter.
Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407. ed. / J Levine; P Mullhaupt. Vol. 407 Germany: Springer, 2009. p. 225-237.

Research output: A Conference proceeding or a Chapter in Book › Conference contribution › peer-review

TY - GEN

T1 - Contact geometry and its application to control

AU - Vassiliou, Peter

PY - 2009

Y1 - 2009

N2 - The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group

AB - The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group

KW - differential geometry

KW - control systems

KW - linearization

U2 - 10.1007/978-3-642-16135-3

DO - 10.1007/978-3-642-16135-3

M3 - Conference contribution

SN - 9783642161346

VL - 407

SP - 225

EP - 237

BT - Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407

A2 - Levine, J

A2 - Mullhaupt, P

PB - Springer

CY - Germany

T2 - Advances in the theory of control, signals and systems with physical modelling

Y2 - 1 January 2009 through 30 June 2009

ER -

Contact geometry and its application to control

Abstract

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