Chapter 11Self-Motion Planning with ZIV Constraint

11.1 Introduction

The number of DOF is very vital for a manipulator. A manipulator is kinematically and/or functionally redundant when more DOF are available than the minimum number required to perform the primary task of a specific manipulator [62]. Compared with a non-redundant manipulator, a redundant manipulator has wider operational space and extra degrees to configure the manipulator to meet additional functional constraints without affecting the position (and/or orientation) of the end-effector [62]. Therefore, much attention and effort in the robotic research community have been paid to studies on and applications of redundant robot manipulators [62, 94, 104, 159, 182, 195–199].

One of the important issues in controlling redundant robot manipulators is self-motion [159, 182, 200]; that is, going from one state to another state without moving the end-effector. By keeping the end-effector at a certain position/orientation (in mathematics, with the end-effector velocity c011-math-001), the manipulator can adjust its configuration c011-math-002 in the joint space from one state (e.g., an initial joint state, c011-math-003) to another state (e.g., a desired joint state, ...

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