Robotics

Chapter 5 Kinematics of Robotic Manipulators


      In This Chapter
  • Introduction to Robotic Manipulators
  • Position and Orientation of Objects in Space
  • Forward Kinematics
  • Inverse Kinematics


5.1     INTRODUCTION TO ROBOTIC MANIPULATORS

Most robotic manipulators are strong rigid devices with powerful motors, strong gearing systems, and very accurate models of the dynamic response. For undemanding tasks it is possible to precompute and apply the forces needed to obtain a given velocity. This control is called computed torque control. Alternatively, a high-gain feedback on joint angle control leads to an adequate tracking performance. The important control problem is one of understanding and controlling the manipulator kinematics. Very few robots are regularly pushed to the limit where the dynamic model becomes important since this will lead to greatly reduce operational life and high maintenance costs. In this chapter we consider that part of the manipulator kinematics known as forward kinematics.


Position of a point P in a Cartesian coordinate frame

FIGURE 5.1   Position of a point P in a Cartesian coordinate frame.

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