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Virtual holonomic constraint based design of stable oscillations of furuta pendulum: theory and experiments
Umeå University, Faculty of Science and Technology, Department of Applied Physics and Electronics.
Umeå University, Faculty of Science and Technology, Department of Applied Physics and Electronics.
LTH, Lund University.
LTH, Lund University.
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2007 (English)In: IEEE Transactions on Robotics, ISSN 1552-3098, Vol. 23, no 4, 827-832 p.Article in journal (Refereed) Published
Abstract [en]

The Furuta pendulum consists of an arm rotating in the horizontal plane and a pendulum attached to its end. Rotation of the arm is controlled by a DC motor, while the pendulum is moving freely in the plane, orthogonal to the arm. Motivated, in particular, by possible applications for walking/running/balancing robots, we consider the Furuta pendulum as a system for which synchronized periodic motions of all the generalized coordinates are to be created and stabilized. The goal is to achieve, via appropriate feedback control action, orbitally exponentially stable oscillations of the pendulum of various shapes around its upright and downward positions, accompanied with oscillations of the arm. Our approach is based on the idea of stabilization of a particular virtual holonomic constraint imposed on the configuration coordinates, which has been theoretically developed recently. Here, we elaborate on the complete design procedure. The results are illustrated not only through numerical simulations but also through successful experimental tests.

Place, publisher, year, edition, pages
2007. Vol. 23, no 4, 827-832 p.
Identifiers
URN: urn:nbn:se:umu:diva-19304DOI: 10.1109/TRO.2007.900597OAI: oai:DiVA.org:umu-19304DiVA: diva2:201692
Available from: 2009-03-05 Created: 2009-03-05 Last updated: 2010-12-13Bibliographically approved

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Shiriaev, AntonFreidovich, LeonidSandberg, Anders
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CiteExportLink to record
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