Tchoń, Krzysztof - ed. ; Gosiewski, Anatol - ed.
Mathematical Methods in Robotics
Global optimization in the redundancy resolution, involving direct dynamic equations of a manipulator, is presented. It is carried out by using the necessary and sufficient conditions for a minimum of integral-type criteria with a free upper limit of integration. Boundary conditions resulting from the manipulator task to be performed are taken into consideration. General transversality conditions corresponding to the boundary ones are derived. ; As a result, a closed system of boundary dependencies, fully specifying differential equations which result from the necessary conditions for a minimum, to find an extremal joint trajectory, is obtained. In order to verify the above extremal trajectory for optimality, (local) sufficient conditions are employed. A computer example involving a planar manipulator of three revolute kinematic pairs is presented.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 5, number 2 (1995) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2021-09-02
2020-09-21
68
https://zbc.uz.zgora.pl/publication/64257
Nazwa wydania | Data |
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Redundancy resolution of manipulator by global optimization | 2021-09-02 |
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