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On Passivity‐Based Control of Non‐Classical Electromechanical Systems
Author(s) -
Müller Andreas,
Jungnickel Uwe,
Kielau Gerald,
Maiser Peter
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010304
Subject(s) - passivity , control theory (sociology) , controller (irrigation) , property (philosophy) , space (punctuation) , computer science , dynamical systems theory , event (particle physics) , quadratic equation , control (management) , mathematics , physics , engineering , artificial intelligence , agronomy , philosophy , geometry , epistemology , quantum mechanics , electrical engineering , biology , operating system
Abstract Passivity‐based control has exclusively been pursued for dynamical systems possessing energetic state functions that are quadratic in the generalized velocities. This assumption does not apply to many dynamical systems, for instance in electromechanics, thus passivity‐based control has not been established for these classes of systems. This contribution presents an augmented PD control scheme for such systems. To this end the system dynamics is represented in the event space considered as a Finsler space. It is shown that in this setting the skew symmetry property is retained. A passivity‐based augmented PD controller is designed in the event space, and restricted to the configuration space giving rise to a passivity‐base control law. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)