Stabilization and control of the motion of a rolling disk

DOI10.1016/S0895-7177(99)00017-5zbMath1015.93052OpenAlexW1992609918MaRDI QIDQ1596885

Yaakov Yavin

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(99)00017-5

zbMATH Keywords

asymptotic trackingstabilizationnonholonomic constraintsinverse control transformationmotion of a rolling disk

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stability for nonlinear problems in mechanics (70K20) Control of mechanical systems (70Q05) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items

Modelling and control of the motion of a disk rolling on a spherical dome, Stabilization and positioning control of a rolling disk by using the Bogdanov-Takens bifurcation, The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip, Modelling and control of the motion of a disk rolling on a sloping plane.

Cites Work

• On the motion of a disc rolling on a horizontal plane: Path controllability and feedback control
• On a horizontal version of the inverse pendulum problem
• Inclination control of the motion of a rolling disk by using a rotor
• The motion of a disk rolling on a vibrating horizontal plane: Feasible control and path controllability
• Open loop strategies for the control of a disk rolling on a horizontal plane
• Control and stabilization of nonholonomic dynamic systems
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