Contact geometry and its application to control

Peter Vassiliou

Research output: A Conference proceeding or a Chapter in BookConference contribution

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 languageEnglish
Title of host publicationAdvances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407
EditorsJ Levine, P Mullhaupt
Place of PublicationGermany
PublisherSpringer
Pages225-237
Number of pages13
Volume407
ISBN (Print)9783642161346
DOIs
Publication statusPublished - 2009
EventAdvances in the theory of control, signals and systems with physical modelling - Lausanne, Switzerland
Duration: 1 Jan 200930 Jun 2009

Conference

ConferenceAdvances in the theory of control, signals and systems with physical modelling
CountrySwitzerland
CityLausanne
Period1/01/0930/06/09

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