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Robust stabilization using time-scaling and Lyapunov redesign: The ball-beam system
Published in
2010
Pages: 1661 - 1666
Abstract
This paper proposes a nonlinear stabilizing controller for a ball on an end-actuated beam system, which is robust to an uncertainty in the mass of the ball. To this end, the dynamics is time-scaled into two subsystems termed as the 'Outer-Loop' and the 'Inner-Loop' dynamics. An Outer-Loop controller generates a reference trajectory for the beam's pitch angle, which if faithfully followed, would result in the stabilization of all states of the system. A robust Inner-Loop controller is synthesized using the Lyapunov redesign technique, which forces the actual pitch angle to stabilize to the trajectory of the Outer-Loop controller. It is shown that the effects of the uncertainty in the mass of the ball are eliminated by the Inner-Loop controller. The uncertainty tolerance limit of this robust controller is also characterized through a necessary condition. Experiments validate the effectiveness of this strategy in stabilizing the system. ©2010 IEEE.
About the journal
Journal11th International Conference on Control, Automation, Robotics and Vision, ICARCV 2010
Open AccessNo
Concepts (18)
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    BEAM SYSTEM
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    Loop controllers
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    Lyapunov
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    NONLINEAR STABILIZING CONTROLLERS
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    OUTER-LOOP CONTROLLER
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    PITCH ANGLE
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    Reference trajectories
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    Robust controllers
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    Robust stabilization
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    Robustness
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    TIME-SCALING
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    TOLERANCE LIMITS
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    Computer vision
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    Robotics
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    Robustness (control systems)
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    Spheres
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    Stabilization
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    Controllers