Abstract | ||
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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 |
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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 Estay | 1 | 7 | 1.60 |
Bernhard Maschke | 2 | 518 | 83.42 |
Daniel Sbarbaro | 3 | 49 | 12.84 |