Optimal robot motions for physical criteria

This paper presents an optimization-based framework for emulating the low-l evel capabilities of human motor coordination and learning. Our approach re sts on the observation that in most biological motor learning scenarios som e form of optimization with respect to a physical criterion is taking place . By appealing to techniques from the theory of Lie groups, we are able to formulate the equations of motion of complex multibody systems in such a wa y that the resulting optimization problems can be solved reliably and effic iently-the key lies in the ability to compute exact analytic gradients of t he objective function without resorting to numerical approximations. The me thodology is illustrated via a wide range of optimized, "natural" motions f or robots performing various humanlike tasks-for example, power lifting, di ving, and gymnastics. (C) 2001 John Wiley & Sons, Inc.