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Constructive immersion and invariance stabilization for a class of underactuated mechanical systems
Published in IFAC Secretariat
2010
Volume: 43
   
Issue: 14
Pages: 108 - 113
Abstract
In this paper a constructive approach to the stabilization of a desired equilibrium for a class of underactuated mechanical systems via the Immersion & Invariance methodology (I&I) is proposed. The design procedure shows that cases of mechanical systems with underactuation degree greater than one are included. This work generalizes the results recently reported by the authors, where an approach to obviate the solution of the corresponding PDEs for a class of nonlinear systems was proposed. Finally, our approach is successfully applied to the inertia wheel pendulum system and an interesting connection with the Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) is revealed. © 2010 IFAC.
About the journal
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
PublisherIFAC Secretariat
ISSN14746670
Open AccessNo
Concepts (15)
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    Invariance
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    Machine design
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    Nonlinear control systems
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    Nonlinear systems
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    Pendulums
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    Stabilization
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    CONSTRUCTIVE APPROACH
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    Immersion and invariances
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    INERTIA WHEEL PENDULUM
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    Interconnection and damping assignment
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    Mechanical systems
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    Passivity based control
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    SYSTEM IMMERSION
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    Under-actuated mechanical systems
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    Mechanics