Newton-type algorithms for robot motion optimization
نویسندگان
چکیده
This paper presents a class of Newton-type algori thms fo r the optimization of robot motions that take in to account the dynamics. Using techniques f rom the theory of L ie groups and Lie algebras, the equations of mot ion of a rigid multibody sys tem can be formulated in such a way that both the f irst and second derivatives of the dynamic equations with respect t o arbitrary jo in t variables can be computed analytically. The result i s that one can formulate the exact gradient and Hessian of a n objective func t ion involving the dynamics, and develop efficient second-order Newton-type optimizat ion algorithms for generating optimal robot motions. T h e methodology i s illustrated with a nontrivial example.
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تاریخ انتشار 1999