Stabilization and control of the motion of a rolling disk by using two overhead rotors

DOI10.1016/S0898-1221(00)00079-1zbMath0969.93027OpenAlexW2084520243MaRDI QIDQ1568742

P. D. Kemp, Yaakov Yavin

Publication date: 4 October 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00079-1

zbMATH Keywords

trackingstabilizationinverse dynamicsbicycle modelconstraints reactionsdisk rolling on a planeLagrange equations of the second kind with multipliersnonlinear non-holonomic systempedaling mechanism

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03)

Related Items (5)

Modelling the motion of a disk rolling on a curve in \(\mathbb R^3\): the case where the motion is driven by using two overhead rotors ⋮ Directional control of the motion of a rolling disk by using a rotor fixed in the disk's plane ⋮ Stabilization of the motion of a disk rolling on a horizontal plane by using a translational moving rod along its axis ⋮ Modelling and control of the motion of a disk rolling on a sloping plane. ⋮ Control of the motion of a disk rolling on a curve in \(\mathbb R^3\)

Cites Work

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• 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
• Closed-loop control of the motion of a disk-rod system
• The motion of a disk rolling on a vibrating horizontal plane: Feasible control and path controllability
• Stabilization and control of the motion of a rolling disk by using two rotors fixed along its axis
• Open loop strategies for the control of a disk rolling on a horizontal plane

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