A single-link flexible-joint manipulator is considered. An analytic closed-form optimal solution is obtained for the nonlinear constrained optimal trajectory planning problem. The optimal solution turns out to be exact in the sense that no approximation is applied.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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