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Asymptotic stabilisation of the ball and beam system: Design of energy-based control law and experimental results
Published in
2010
Volume: 83
   
Issue: 6
Pages: 1193 - 1198
Abstract
We present a new nonlinear control law to stabilise the ball and beam system at a desired operating point. The control law is based on the interconnection and damping assignment-passivity-based control (IDA-PBC) methodology developed in Ortega, Spong, Gomez-Estern, and Blankenstien (Ortega, R., Spong, M., Gomez-Estern, F., and Blankenstien, G. (2002), 'Stabilization of Underactuated Mechanical Systems via Interconnection and Damping Assignment', IEEE Transactions on Automatic Control, 47, 1218-1233) that guarantees stability in the sense of Lyapunov. We present a novel proof of the asymptotic stability of the desired operating point. The validity of the proposed control law is demonstrated through the experimental results. © 2010 Taylor & Francis.
About the journal
JournalInternational Journal of Control
ISSN00207179
Open AccessNo
Concepts (21)
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    AUTOMATIC CONTROL
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    BALL AND BEAM
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    BALL AND BEAM SYSTEMS
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    Control laws
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    Energy-based control
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    Interconnection and damping assignment
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    Lyapunov
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    Nonlinear control laws
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    Operating points
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    Passivity based control
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    STABILISATION
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    Underactuated mechanical systems
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    Via interconnection
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    Asymptotic analysis
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    Asymptotic stability
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    Automation
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    Damping
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    Spheres
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    Stabilization
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    System stability
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    Control system stability