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Nonlinear Control under Nonconstant Delays

Nonlinear Control under Nonconstant Delays

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  • Date Published: November 2013
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9781611973174

$ 109.99 (P)
Hardback

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About the Authors
  • Some long-standing problems in delay systems are given an elegant and systematic new treatment in this book, which features a methodology developed by the authors. The authors' approach deals with control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. The material is based on predictor feedback and infinite-dimensional backstepping transformations for linear systems, and the authors guide the reader from the basic concepts all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. All control designs are given by explicit formulae, making the book especially useful for engineers who are concerned with actual implementations, and are accompanied by Lyapunov-based analysis for establishing stability and performance guarantees.

    • This book presents a powerful methodology developed by the authors
    • Contains an elegant new treatment of some long standing problems in delay systems
    • Control designs are given by explicit formulae and presented alongside stability analysis
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    Product details

    • Date Published: November 2013
    • format: Hardback
    • isbn: 9781611973174
    • length: 320 pages
    • dimensions: 260 x 183 x 19 mm
    • weight: 0.72kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    1. Introduction
    Part I:
    2. Linear systems with input and state delays
    3. Linear systems with distributed delays
    4. Application: automotive catalysts
    5. Nonlinear systems with input delay
    Part II:
    6. Linear systems with time-varying input delay
    7. Robustness of linear constant-delay predictor feedback to time-varying delay perturbations
    8. Nonlinear systems with time-varying input delay
    9. Nonlinear systems with simultaneous time-varying delays on the input and the state
    Part III:
    10. Predictor feedback design when the delay is a function of the state
    11. Stability analysis for forward-complete systems with input delay
    12. Stability analysis for locally stabilizable systems with input delay
    13. Nonlinear systems with state delay
    14. Robustness of nonlinear constant-delay predictors to time- and state-dependent delay perturbations
    15. State-dependent delays that depend on delayed states
    Appendix A. Basic inequalities
    Appendix B. Input-to-output stability
    Appendix C. Lyapunov stability, forward-completeness, and input-to-state stability
    Appendix D. Parameter projection
    Bibliography
    Index.

  • Authors

    Nikolaos Bekiaris-Liberis, University of California, San Diego
    Nikolaos Bekiaris-Liberis received his PhD from the University of California, San Diego, and is currently a postdoctoral scholar at the University of California, Berkeley. His research interests are in delay systems, distributed parameter systems, and nonlinear control.

    Miroslav Krstic, University of California, San Diego
    Miroslav Krstic is the Alspach endowed professor, founding director of the Cymer Center for Control Systems and Dynamics, and Associate Vice Chancellor for Research at the University of California, San Diego. He is a Fellow of IEEE and IFAC; a recipient of the PECASE, NSF Career and ONR Young Investigator Awards; and the winner of Axelby and Schuck Paper Prizes. He has held distinguished visiting professorships at the University of California, Berkeley, and with the Royal Academy of Engineering, UK. He has coauthored nine books, including Boundary Control of PDEs: A Course on Backstepping Designs (2008).

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