Volume 23 Issue 01 - Publication Date: 1 January 2004
Planning Velocities of Free Sliding Objects as a Free Boundary Value Problem
Qingguo Li and Shahram Payandeh Experimental Robotics Laboratory, School of Engineering Science, Simon Fraser University, Burnaby, B.C., V5A 1S6, Canada

In this paper, a novel planning method is proposed to solve initial velocities of the free sliding object for given initial and final configurations. Finding the desired initial velocities for free sliding objects is a key step for implementing impulse manipulation and multi-agent dynamic cooperative manipulation. The motion of free sliding objects on a plane is governed by friction forces and the initial state of the object; this motion can be modeled by a set of six first-order differential equations. In this paper, the planning problem is formulated as a free boundary value problem (FBVP). In order to solve the problem, the FBVP is first reduced to a standard two-point boundary value problem, then quasi-Newton based optimization procedures are utilized to solve the planning problem. The proposed method does not require qualitative motion characteristics; thus, it can be used for objects with general shape and arbitrary pressure distribution. Numerical and experimental results on objects with different geometries and pressure distributions are used to demonstrate the performance of the proposed planner.

Multimedia Key
= Video = Data = Code = Image
Example One: Manipulation of a triangular object. (4.4MB)
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