Skip to main content
  • Book
  • © 1993

Nonholonomic Motion Planning

Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 192)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xv
  2. Steering Nonholonomic Control Systems Using Sinusoids

    • Richard M. Murray, S. Shankar Sastry
    Pages 23-51
  3. Lie Bracket Extensions and Averaging: The Single-Bracket Case

    • Héctor J. Sussmann, Wensheng Liu
    Pages 109-147
  4. Motion Planning for Nonholonomic Dynamic Systems

    • Mahmut Reyhanoglu, N. Harris McClamroch, Anthony M. Bloch
    Pages 201-234
  5. A Differential Geometric Approach to Motion Planning

    • Gerardo Lafferriere, Héctor J. Sussmann
    Pages 235-270
  6. Planning Smooth Paths for Mobile Robots

    • Paul Jacobs, John Canny
    Pages 271-342
  7. Nonholonomic Control and Gauge Theory

    • Richard Montgomery
    Pages 343-377
  8. Optimal Nonholonomic Motion Planning for a Falling Cat

    • C. Fernandes, L. Gurvits, Z. X. Li
    Pages 379-421
  9. Back Matter

    Pages 447-448

About this book

Nonholonomic Motion Planning grew out of the workshop that took place at the 1991 IEEE International Conference on Robotics and Automation. It consists of contributed chapters representing new developments in this area. Contributors to the book include robotics engineers, nonlinear control experts, differential geometers and applied mathematicians.
Nonholonomic Motion Planning is arranged into three chapter groups: Controllability: one of the key mathematical tools needed to study nonholonomic motion. Motion Planning for Mobile Robots: in this section the papers are focused on problems with nonholonomic velocity constraints as well as constraints on the generalized coordinates. Falling Cats, Space Robots and Gauge Theory: there are numerous connections to be made between symplectic geometry techniques for the study of holonomies in mechanics, gauge theory and control. In this section these connections are discussed using the backdrop of examples drawn from space robots and falling cats reorienting themselves.
Nonholonomic Motion Planning can be used either as a reference for researchers working in the areas of robotics, nonlinear control and differential geometry, or as a textbook for a graduate level robotics or nonlinear control course.

Editors and Affiliations

  • Dept. of Electrical & Electronic Engineering, Hong Kong University of Science & Technology, Kowloon, Hong Kong

    Zexiang Li

  • Dept. of Electrical Engineering & Computer Sciences, University of California at Berkeley, Berkeley, USA

    J. F. Canny

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access