Open loop strategies for the control of a disk rolling on a horizontal plane

DOI10.1016/0045-7825(95)00848-6zbMath0868.70020OpenAlexW1973497239MaRDI QIDQ2564584

Yanyan Li

Publication date: 15 January 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00848-6

zbMATH Keywords

state and control constraintsfeasible command strategies

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Control of mechanical systems (70Q05)

Related Items (22)

FEASIBLE OUTPUT FEEDBACK CONTROLLER DESIGN FOR LINEAR SYSTEMS ⋮ 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 ⋮ The motion of a disk rolling on a vibrating horizontal plane: Feasible control and path controllability ⋮ Inclination control of the motion of a rolling disk by using a rotor ⋮ Collision avoidance by a ship with a moving obstacle: Computation of feasible command strategies ⋮ Dynamics of an eccentric disk on a curved surface ⋮ Stabilization and control of the motion of a rolling disk by using two rotors fixed along its axis ⋮ The derivation of a kinematic model from the dynamic model of the motion of a riderless bicycle ⋮ Modelling and control of the motion of a riderless bicycle rolling on a moving plane ⋮ Computation of feasible portfolio control strategies for an insurance company using a discrete time asset/liability model ⋮ Stabilization and path controllability of the motion of a rolling disk by using two overhead rotors ⋮ On the control of a constrained multibody system ⋮ Stabilization and control of the motion of a rolling disk by using two overhead rotors ⋮ The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip ⋮ Modelling and control of the motion of a rolling disk: Effect of motor dynamics on the dynamical model ⋮ The control of the motion of a pantograph. ⋮ Stabilization and control of the motion of a rolling disk ⋮ Stabilization and guidance of the motion of a rolling disk by using two rotors fixed along its axis. ⋮ Point-to-point and collision avoidance control of the motion of an autonomous bicycle ⋮ 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

Cites Work

• An improved version of the original leap-frog dynamic method for unconstrained minimization: LFOP1(b)
• A new and dynamic method for unconstrained minimization
• Computation of feasible control trajectories for the navigation of a ship around an obstacle in the presence of a sea current
• Stabilization of trajectories for systems with nonholonomic constraints
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