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F. C. Park, “Distance Metrics on the Rigid-Body Motions with Applications to Mechanicsm Design,” ASME Journal of Mechanical Design, Vol. 117, 1995, pp. 48-54.

has been cited by the following article:

• TITLE: Optimal Task Placement of a Serial Robot Manipulator for Manipulability and Mechanical Power Optimization

  AUTHORS: Rogério Rodrigues dos Santos, Valder Steffen, Sezimária de Fátima Pereira Saramago

  KEYWORDS: Optimal Task Placement, Optimal Robot Path Planning, Multicriteria Optimization

  JOURNAL NAME: Intelligent Information Management, Vol.2 No.9, October 13, 2010

  ABSTRACT: Power consumption and accuracy are main aspects to be taken into account in the movement executed by high performance robots. The first aspect is important from the economical point of view, while the second is requested to satisfy technical specifications. Aiming at increasing the robot performance, a strategy that maximizes the manipulator accuracy and minimizes the mechanical power consumption is considered in this work. The end-effector is constrained to follow a predefined path during the optimal task positioning. The proposed strategy defines a relation between mechanical power and manipulability as a key element of the manipulator analysis, establishing a performance index for a rigid body transformation. This transformation is used to compute the optimal task positioning through the optimization of a multicriteria objective function. Numerical simulations regarding a serial robot manipulator demonstrate the viability of the proposed methodology.