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Volume 21 Issue 04 - Publication Date: 1 April 2002
 
On Path Planning and Obstacle Avoidance for Nonholonomic Platforms with Manipulators : A Polynomial Approach
 
Evangelos Papadopoulos Department of Mechanical Engineering, National Technical University of Athens, Greece , Ioannis Poulakakis Department of Mechanical Engineering, Centre for Intelligent Machines, McGill University, Canada and Iakovos Papadimitriou Department of Mechanical Engineering, University of California at Berkeley, USA
 
A planning methodology for nonholonomic mobile platforms with manipulators in the presence of obstacles is developed that employs smooth and continuous functions such as polynomials. The method yields admissible input trajectories that drive both the manipulator and the platform to a desired configuration and is based on mapping the nonholonomic constraint to a space where it can be satisfied trivially. In addition, the method allows for direct control over the platform orientation. Cartesian space obstacles are also mapped into this space in which they can be avoided by increasing the order of the polynomials employed in planning trajectories. The additional parameters required are computed systematically, while the computational burden increases linearly with the number of obstacles and the system elements taken into account. Illustrative examples demonstrate the planning methodology in obstacle-free and obstructed environments.
 
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