Stabilization of a 3D axially symmetric pendulum

DOI10.1016/J.AUTOMATICA.2008.01.013zbMath1153.93023OpenAlexW2040385038MaRDI QIDQ999030

N. Harris Mcclamroch, Dennis S. Bernstein, Nalin A. Chaturvedi

Publication date: 30 January 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2008.01.013

zbMATH Keywords

Lagrange topspherical pendulumswing-upstabilizing controllers3D penduluminverted equilibrium

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Control of mechanical systems (70Q05)

Related Items (4)

Real-time swing-up and stabilization control of a cart-pendulum system with constrained cart movement ⋮ Robust adaptive finite-time attitude tracking control of a 3D pendulum with external disturbance: numerical simulations and hardware experiments ⋮ Almost global attitude stabilisation of an underactuated axially symmetric 3-D pendulum ⋮ Global stabilization of spherical orientation by synergistic hybrid feedback with application to reduced-attitude tracking for rigid bodies

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Tracking for fully actuated mechanical systems: A geometric framework
• Stabilization of nonlinear uncertain systems
• Swinging up the spherical pendulum via stabilization of its first integrals.
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• Global stabilization of the spinning top with mass imbalance
• On global properties of passivity-based control of an inverted pendulum
• Asymptotic Smooth Stabilization of the Inverted 3-D Pendulum
• Asymptotic stabilization of the hanging equilibrium manifold of the 3D pendulum

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