A Mathematical Introduction to Robotic Manipulation

Richard M. Murray

March 22, 1994 by CRC Press
Textbook - 480 Pages
ISBN 9780849379819 - CAT# 7981

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  • Presents a mathematical treatment of robot kinematics, dynamics, and control, including a rigorous mathematical treatment of robotic manipulation
  • Provides a unified treatment of dynamics and control that highlights the fundamental properties of robot mechanisms
  • Offers a complete description of grasping with multi-fingered robot hands, including kinematics, statics, dynamics, and control
  • Provides detailed exercises at the end of each chapter
  • Summary

    A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework.

    The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well.

    The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.


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