The analytical Jacobian and its derivative for a parallel manipulator
S. Dutré, Herman Bruyninckx, Joris De Schutter
Abstract
S. Dutré, Herman Bruyninckx, Joris De Schutter
Abstract
This paper finds an analytical expression for the Jacobian matrix of a parallel manipulator as well as for its derivatives (with respect to time or to a change in joint angles) of any order. The most important part in the presented procedures is the closed-form expression for the velocity closure equations of the manipulator.
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This paper finds an analytical expression for the Jacobian matrix of a parallel manipulator as well as for its derivatives (with respect to time or to a change in joint angles) of any order. The most important part in the presented procedures is the closed-form expression for the velocity closure equations of the manipulator.
Key concepts: Jacobian matrix and determinant, Parallel manipulator, Expression (computer science), Manipulator (device), Closure (psychology), Computer science, Order (exchange), Derivative (finance)