Abstract
The Jacobian inverse(JI) method is a well-known algorithms used for inverse kinematics solutions in motion generation. JI algorithm can be easily implemented, but it can generate singularity problems and it is not straight forward to implement constraints in the JI method. This paper presents a novel gradient projection algorithm that can convert the inverse kinematics problem to a constraint nonlinear programming problem. Meanwhile, by changing the programming time of each frame, local linearization of the nonlinear function and limited interval computing can be achieved simultaneously. Experimental results are presented to show the performance benefits of the proposed algorithm over JI methods.
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