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  • © 2014

Analysis and Control of Underactuated Mechanical Systems

  • Shows the reader how to impose an ordered method of control and observer design on a group of systems that usually require a case-by-case approach, saving time, computational effort and expense

  • Extensively illustrated with MATLAB®/Simulink® simulations exemplifying the effectiveness of the methods described

  • Applicable to a disparate group of systems ranging from walking robots to aircraft

  • Includes supplementary material: sn.pub/extras

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XV
  2. Introduction

    • Amal Choukchou-Braham, Brahim Cherki, Mohamed Djemaï, Krishna Busawon
    Pages 1-6
  3. Generalities and State-of-the-Art on the Control of Underactuated Mechanical Systems

    • Amal Choukchou-Braham, Brahim Cherki, Mohamed Djemaï, Krishna Busawon
    Pages 7-14
  4. Underactuated Mechanical Systems from the Lagrangian Formalism

    • Amal Choukchou-Braham, Brahim Cherki, Mohamed Djemaï, Krishna Busawon
    Pages 15-33
  5. Classification of Underactuated Mechanical Systems

    • Amal Choukchou-Braham, Brahim Cherki, Mohamed Djemaï, Krishna Busawon
    Pages 35-54
  6. Control Design Schemes for Underactuated Mechanical Systems

    • Amal Choukchou-Braham, Brahim Cherki, Mohamed Djemaï, Krishna Busawon
    Pages 55-91
  7. Back Matter

    Pages 93-138

About this book

This monograph provides readers with tools for the analysis, and control of systems with fewer control inputs than degrees of freedom to be controlled, i.e., underactuated systems. The text deals with the consequences of a lack of a general theory that would allow methodical treatment of such systems and the ad hoc approach to control design that often results, imposing a level of organization whenever the latter is lacking.

The authors take as their starting point the construction of a graphical characterization or control flow diagram reflecting the transmission of generalized forces through the degrees of freedom. Underactuated systems are classified according to the three main structures by which this is found to happen—chain, tree, and isolated vertex—and control design procedures proposed. The procedure is applied to several well-known examples of underactuated systems: acrobot; pendubot; Tora system; ball and beam; inertia wheel; and robotic arm with elastic joint.

®/Simulink® simulations that demonstrate the effectiveness of the methods detailed.

Readers interested in aircraft, vehicle control or various forms of walking robot will be able to learn from Underactuated Mechanical Systems how to estimate the degree of complexity required in the control design of several classes of underactuated systems and proceed on to further generate more systematic control laws according to its methods of analysis.

Reviews

“The aim of the book consists of presenting reference material for researchers and students working in the field of underactuated mechanical systems. The book can also serve as a complementary reading for post-graduate students studying control systems theory. … The book is well written and contains new and classical results in the analysis and control of underactuated mechanical systems, showing the differences and relations from different points of view.” (Leonardo Colombo, Mathematical Reviews, February, 2016)

Authors and Affiliations

  • University of Aboubekr Belkaid, Chetouane, Tlemcen, Algeria

    Amal Choukchou-Braham, Brahim Cherki

  • LAMIH ASHM, University of Valenciennes and Hainaut-Cambrésis, Valenciennes, France

    Mohamed Djemaï

  • Faculty of Engineering and Environment, Northumbria University, Newcastle-upon-Tyne, United Kingdom

    Krishna Busawon

Bibliographic Information

  • Book Title: Analysis and Control of Underactuated Mechanical Systems

  • Authors: Amal Choukchou-Braham, Brahim Cherki, Mohamed Djemaï, Krishna Busawon

  • DOI: https://doi.org/10.1007/978-3-319-02636-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-02635-0Published: 25 November 2013

  • Softcover ISBN: 978-3-319-37755-1Published: 17 September 2016

  • eBook ISBN: 978-3-319-02636-7Published: 18 November 2013

  • Edition Number: 1

  • Number of Pages: XV, 138

  • Number of Illustrations: 45 b/w illustrations, 10 illustrations in colour

  • Topics: Robotics and Automation, Aerospace Technology and Astronautics, Automotive Engineering

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and 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
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access