Robot Modeling and Control. Mark W. Spong

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rel="nofollow" href="#u81e6fc71-2e9d-5fd3-83ab-992424859986">Chapter 14 do not apply to nonholonomic systems. Thus, we cover some new techniques applicable to these systems. We present two fundamental results, namely Chow’s theorem and Brockett’s theorem, that provide conditions for controllability and stabilizability, respectively, of mobile robots.

      Finally, the appendices have been expanded to give much of the necessary background mathematics to be able to follow the development of the concepts in the text.

      A Note to the Instructor

      A graduate-level course on robot dynamics and control can be taught using all or parts of Chapters 6 through 12.

      Finally, one or more special topics courses can be taught using Chapters 9 through 14. Below we outline several possible courses that can be taught from this book:

       Course 1: Introduction to Robotics

      Level: Junior/Senior undergraduate

      For a one quarter course (10 weeks):

       Chapter 1: Introduction

       Chapter 2: Rigid Motions and Homogeneous Transformations

       Chapter 3: Forward Kinematics

       Chapter 4: Velocity Kinematics and Jacobians

       Chapter 5: Inverse Kinematics

      For a one semester course (16 weeks) add:

       Chapter 7: Motion Planning and Trajectory Generation

       Chapter 8: Independent Joint Control

       Course 2: Robot Dynamics and Control

      Level: Senior undergraduate/graduate

      For a one quarter course (10 weeks):

       Chapters 1–5: Rapid Review of Kinematics (selected sections)

       Chapter 6: Dynamics

       Chapter 7: Path and Trajectory Planning

       Chapter 9: Nonlinear and Multivariable Control

       Chapter 10: Force Control

      For a one semester course (16 weeks) add:

       Chapter 11: Vision-Based Control

       Chapter 12: Feedback Linearization

       Course 3: Advanced Topics in Robot Control

      Level: Graduate

      For a one semester course (16 weeks):

       Chapter 6: Dynamics

       Chapter 7: Motion Planning and Trajectory Generation

       Chapter 9: Nonlinear and Multivariable Control

       Chapter 11: Vision-Based Control

       Chapter 12: Feedback Linearization

       Chapter 13: Underactuated Robots

       Chapter 14: Mobile Robots

      The instructor may wish to supplement the material in any of these courses with additional material to delve deeper into a particular topic. Also, either of the last two chapters can be covered in Course 2 by eliminating the Force Control chapter or the Vision-Based Control chapter.

      Acknowledgements

      We would like to offer a special thanks to Nick Gans, Peter Hokayem, Benjamin Sapp, and Daniel Herring, who did an outstanding job of producing most of the figures in the first edition, and to Andrew Messing for figure contributions to the current edition. We would like to thank Francois Chaumette for discussions regarding the formulation of the interaction matrix in Chapter 11 and to Martin Corless for discussion on the robust control problem in Chapter 9. We are indebted to several reviewers for their very detailed and thoughtful reviews, especially Brad Bishop, Jessy Grizzle, Kevin Lynch, Matt Mason, Eric Westervelt. We would like to thank our students, Nikhil Chopra, Chris Graesser, James Davidson, Nick Gans, Jon Holm, Silvia Mastellone, Adrian Lee, Oscar Martinez, Erick Rodriguez, and Kunal Srivastava, for constructive feedback on the first edition.

      We would like to acknowledge Lila Spong for proofreading the manuscript of the second edition, and also the many people who sent us lists of typographical errors and corrections to the first edition, especially Katherine Kuchenbecker and her students, who provided numerous corrections.

      Mark W. Spong

      Seth Hutchinson

      M. Vidyasagar

      Robotics is a relatively young field of modern technology that crosses traditional engineering boundaries. Understanding the complexity of robots and their application requires knowledge of electrical engineering, mechanical engineering, systems and industrial engineering, computer science, economics, and mathematics. New disciplines of engineering, such as manufacturing engineering, applications engineering, and knowledge engineering have emerged to deal with the complexity of the field of robotics and factory automation. More recently, mobile robots are increasingly important for applications like autonomous vehicles and planetary exploration.

      This book is concerned with fundamentals of robotics, including kinematics, dynamics, motion planning, computer vision, and control. Our goal is to provide an introduction to the most important concepts in these subjects as applied to industrial robot manipulators, mobile robots and other mechanical systems.

      The term robot was first introduced by the Czech playwright Karel Čapek in his 1920 play Rossum’s Universal Robots, the word robota being the Czech word for worker. Since then the term has been applied to a great variety of mechanical devices, such as teleoperators, underwater vehicles, autonomous cars, drones, etc. Virtually anything that operates with some degree of autonomy under computer control has at some point been called a robot. In this text we will focus on two types of robots, namely industrial manipulators and mobile robots.

      Industrial Manipulators

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