Skip to main content

Introduction

  • Chapter

Part of the book series: Texts in Applied Mathematics ((TAM,volume 36))

Abstract

In this course we will explore and study a mathematical approach aimed directly at dealing with complex physical systems that are coupled in feedback. The general methodology we study has analytical applications to both human-engineered systems and systems that arise in nature, and the context of our course will be its use for feedback control.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   69.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   99.99
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

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes and references

  1. A.I. Lur’e. Some Nonlinear Problems in the Theory of Automatic Control. Her Majesty’s Stationary Office, 1957. In Russian 1951.

    Google Scholar 

  2. A.I. Lur’e and V.N. Postnikov. On the theory of stability of controlled systems. Prikladnaya Matematika i Mekhanika,8:246–248, 1944. In Russian.

    Google Scholar 

  3. V.M. Popov. Hyperstability of Control Systems. Springer, 1973. In Romanian 1966.

    Google Scholar 

  4. J. Guckenheimer and P. Holmes. Nonlinear oscillations, dynamical systems and bifurcations of vector fields. Springer, 1986.

    Google Scholar 

  5. H.K. Khalil. Nonlinear Systems. Prentice-Hall, 1996.

    Google Scholar 

  6. M.W. Spong and D.J. Block. The pendubot: A mechatronic system for control research and education. In Proc. IEEE Conference on Decision and Control, 1995.

    Google Scholar 

  7. M. A. Dahleh and I. J. Diaz-Bobillo. Control of Uncertain Systems: a Linear Programming Approach. Prentice Hall, 1995.

    Google Scholar 

  8. B.A. Francis. A Course in H,,,„ Control Theory. Springer, 1987.

    Google Scholar 

  9. M. Green and D.J.N. Limebeer. Linear Robust Control. Prentice Hall, 1995.

    Google Scholar 

  10. K. Zhou, J.C. Doyle, and K. Glover. Robust and Optimal Control. Prentice Hall, 1996.

    Google Scholar 

  11. J.C. Doyle, B.A. Francis, and A. Tannenbaum. Feedback Control Theory. Macmillan, 1992.

    Google Scholar 

  12. M. Morari and E. Zafiriou. Robust Process Control. Prentice Hall, 1989.

    Google Scholar 

  13. K. Zhou and J.C. Doyle. Essentials of Robust Control. Prentice Hall, 1998.

    Google Scholar 

  14. R.S. Sanchez-Pena and M. Sznaier. Robust Systems Theory and Applications. Wiley, 1998.

    Google Scholar 

  15. S. Skogestad and I. Postlethwaite. Multivariable Feedback Control: Analysis and Design. Wiley, 1996.

    Google Scholar 

  16. R.E. Skelton, T. Iwasaki, and K.M. Grigoriadis. A Unified Algebraic Approach to Linear Control Design. Taylor and Francis, 1998.

    Google Scholar 

  17. S.P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics, 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media New York

About this chapter

Cite this chapter

Dullerud, G.E., Paganini, F. (2000). Introduction. In: A Course in Robust Control Theory. Texts in Applied Mathematics, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3290-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3290-0_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3189-4

  • Online ISBN: 978-1-4757-3290-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics