Swinging up the spherical pendulum via stabilization of its first integrals.

DOI10.1016/j.automatica.2003.07.009zbMath1037.70015OpenAlexW1995096839MaRDI QIDQ1426265

H. Ludvigsen, Olav Egeland, Shiriaev, Anton S.

Publication date: 14 March 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2003.07.009

zbMATH Keywords

passivitycontrol of first integrals

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control of mechanical systems (70Q05)

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Cites Work

• Swinging up the spherical pendulum via stabilization of its first integrals.
• Stabilization of the inverted pendulum around its homoclinic orbit
• Swinging up a pendulum by energy control
• Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem
• Energy based control of the Pendubot
• Swinging control of nonlinear oscillations
• On global properties of passivity-based control of an inverted pendulum
• Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment
• Almost global stabilization of the inverted pendulum via continuous state feedback
• VSS-version of energy-based control for swinging up a pendulum
• Partial stabilization of underactuated Euler-Lagrange systems via a class of feedback transformations
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