Kinematic controllability and motion planning for the snakeboard
Lewis, Andrew D.
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The snakeboard is shown to be kinematically controllable. Associated with the two decoupling vector fields for the problem, a constrained static nonlinear programming problem is posed whose solutions provide a solution to the problem of steering the snakeboard from a given configuration at rest to a desired configuration at rest. An explicit solution to the problem is provided, and the limitations of this explicit solution are discussed. A few ad hoc solutions to the nonlinear programming problem are also exhibited.