Title
About structure preserving feedback of controlled contact systems
Abstract
The conditions for structure preserving feedback of controlled contact system are studied. It is shown that only a constant feedback preserves the canonical contact form, hence a structure preserving feedback implies a contact system with respect to a new contact form. A necessary condition is stated as a matching equation in the feedback, the contact vector fields, the canonical contact form and the closed-loop contact form. Furthermore, for the case of strict contact vector fields a set of solutions is characterized for a particular class of feedback and the relation with classical results on feedback control of Hamiltonian control systems is established. The control synthesis is briefly addressed and illustrated on a simple example.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160371
Decision and Control and European Control Conference
Keywords
Field
DocType
closed loop systems,control system synthesis,feedback,Hamiltonian control systems,canonical contact form,closed-loop contact form,contact vector fields,control synthesis,controlled contact systems,feedback control,matching equation,structure preserving feedback
Hamiltonian (quantum mechanics),Control theory,Vector field,Computer science,Control system,Manifold,Control synthesis
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-61284-799-3
978-1-61284-799-3
3
PageRank 
References 
Authors
0.64
2
3
Name
Order
Citations
PageRank
Hector Ramirez Estay171.60
Bernhard Maschke251883.42
Daniel Sbarbaro34912.84