Title Page
Foreword
Preface
Abstract
Contents
Introduction
Robot Motion Control
Path Planning and Trajectory-Following Operations
Sensor-Guided Robot Motion Control
Verbal Problem Formulation and Motivation for This Book
Definition: Sensor-Guarded Robot Motion Control
Excursion: The Neurophysiological System of Human Beings
Outline of This Book
Literature Survey: Trajectory Generation in and Control of Robotic Systems
Terminology
Overview
State of the Art in Robot Technology
State of the Art in Robotics Research
Path Planning
Trajectory Planning Concepts
Robot Motion Control
Human-Inspired Motion Analysis
Own Works
Conclusions and Classification of This Work
Mathematical Conventions and Problem Formulation
Notation and Nomenclature
Classification of On-Line Trajectory Generators
Type Classification
Variant Classification
Formal Problem Formulation
Summary
Solution for One Degree of Freedom
Generic Algorithm for On-Line Trajectory Generation
Problem Formulation for One-DOF Systems
Generic Solution
Solution for Type IV
Type IV, Variant A
Type IV, Variant B
Summary and Applications
Solution in Multi-dimensional Space
General Variant A Algorithm for On-Line Trajectory Generation
Step 1: Calculating the Synchronization Time tisync
Step 2: Synchronization
Step 3: Calculation of Output Values
Final Remarks on the General OTG Algorithm
Extension for Variant B
Type IV On-Line Trajectory Generation
Type IV, Variant A
Type IV, Variant B
Summary and Final Remarks
On-Line Generation of Homothetic Trajectories
Problem Formulation
The Algorithm
Hybrid Switched-System Control for Robotic Systems
Hybrid Switched-System Control
The Manipulation Primitive Framework
Manipulation Primitives as Interface to Hybrid Switched-Systems
Control Scheme for the Execution of Manipulation Primitives
Remarks on the Availability Flag Vector ic
Remarks on Task Frame Switchings
Remarks on the OTG Module
On-Line Trajectory Generation for Open-Loop Velocity Control
Stability
Summary
Experimental Results and Applications
Handling Arbitrary States of Motion
Instantaneous Reaction to Unforeseen (Sensor) Events
Homothetic Trajectories
Unforeseen Switchings of Reference Coordinate Systems
Unforeseen Switchings of State Spaces
Hybrid Switched-System Control of a Six-DOF Industrial Manipulator
Further Discussion
On-Line Trajectory Generation as an Interface to Non-Real-Time Systems
Visual Servo Control
Relation to High-Level Motion Planning Systems
The Problem of Overshooting
Embedding of Robot Dynamics
Further Applications
Migration of Existing Architectures
Real-Time Verification
Higher Control Rates
Aspects on the Development of Decision Trees
Completeness Analysis of Decision Trees
OTG Types V–IX
Further Variants
On the Elegance of Natural Laws
Summary, Future Work, and Conclusion
Summary
Limitations and Future Work
Conclusion
Appendix
The Modified Anderson-Bj\"orck-King Method
Details on the {\it PosTriNegTri} Acceleration Profile (Step 1)
Details on the {\it PosTriZeroNegTri} Acceleration Profile (Step 2)
Type IV On-Line Trajectory Generation in Very Simple Terms
Abbreviations and Symbols
References