Tchoń, Krzysztof - ed. ; Gosiewski, Anatol - ed.
Title:Redundancy resolution of manipulator by global optimization
Subtitle:Mathematical Methods in Robotics
Group publication title: Subject and Keywords:sterowanie ; sterowanie-teoria ; sztuczna inteligencja ; matematyka stosowana ; informatyka
Abstract: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.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: Pages: Source:AMCS, volume 5, number 2 (1995) ; click here to follow the link
Language: License CC BY 4.0: Rights: