Skip to main content
  • Book
  • © 2010

Analysis and Design of Nonlinear Control Systems

  • Comprehensive introduction for nonlinear control systems, including system analysis and major control design techniques
  • Updated and adapted for readers with engineering background
  • Self-contained with sufficient mathematical foundations for studying nonlinear control systems

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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 (16 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 1-27
  3. Topological Space

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 29-46
  4. Differentiable Manifold

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 47-89
  5. Algebra, Lie Group and Lie Algebra

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 91-119
  6. Controllability and Observability

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 121-146
  7. Global Controllability of Affine Control Systems

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 147-172
  8. Stability and Stabilization

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 173-206
  9. Decoupling

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 207-235
  10. Input-Output Structure

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 237-278
  11. Linearization of Nonlinear Systems

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 279-313
  12. Design of Center Manifold

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 315-354
  13. Output Regulation

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 355-378
  14. Dissipative Systems

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 379-401
  15. L 2 -Gain Synthesis

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 403-429
  16. Switched Systems

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 431-508
  17. Discontinuous Dynamical Systems

    • Daizhan Cheng, Xiaoming Hu, Tielong Shen
    Pages 509-532
  18. Back Matter

    Pages 533-545

About this book

"Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book.

Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.

Reviews

From the reviews:

“This book presents a comprehensive introduction to theory and design techniques for nonlinear control systems, with an emphasis on the geometric approach. The book is intended to serve as a reference for control scientists and control engineers, as well as Ph.D. students majoring in automation and related fields, such as operational research, management, and communications.” (IEEE Control Systems Magazine, Vol. 30, December, 2010)

“This book is intended to provide readers … a complete and up-to-date presentation of the geometric approach to nonlinear control systems and its design techniques. Particular attention is given to new topics, new results, and new design techniques. … An effort has been made to make the concepts understandable for engineers or readers not specializing in mathematics; for instance, new concepts are defined initially in local coordinates and later for general topological spaces or manifolds, elementary proofs are presented and some proofs have been simplified.” (Anna Maria Perdon, Mathematical Reviews, Issue 2012 f)

Authors and Affiliations

  • Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing, China

    Daizhan Cheng

  • Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden

    Xiaoming Hu

  • Department of Engineering and Applied Sciences, Sophia University, Tokyo, Japan

    Tielong Shen

Bibliographic Information

  • Book Title: Analysis and Design of Nonlinear Control Systems

  • Authors: Daizhan Cheng, Xiaoming Hu, Tielong Shen

  • DOI: https://doi.org/10.1007/978-3-642-11550-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2010

  • eBook ISBN: 978-3-642-11550-9Published: 28 March 2011

  • Edition Number: 1

  • Number of Pages: 690

  • Number of Illustrations: 100 b/w illustrations

  • Additional Information: Jointly published with Science Press

  • Topics: Systems Theory, Control, Control and Systems Theory

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access