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For nonholonomic robots whose kinematics are described by a driftless control system with outputs a new Jacobian inverse and a Jacobian motion planning algorithm are proposed. This inverse is based on solving a Lagrange-type constrained optimization problem, generalizing the usual Jacobian pseudoinverse. A case study illustrates a potential applicability of the new algorithm to shaping the system's...
The paper presents a task-priority motion planning algorithm for a balancing robot, derived from the endogenous configuration space approach. The motion planning problem is composed of three sub-tasks. Firstly, the robot has to reach a desirable point in task space (proper motion planning). Secondly, the upward position of the robot torso should be maintained during the motion. Thirdly, the motion...
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