Skip to main content

Topological Aspects of Robust Control

  • Chapter
Control of Uncertain Systems

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 6))

Abstract

The paper discusses topologies that naturally arise in the study of robust control problems. A new ‘robust topology’ is defined. It is shown that this topology is Hausdorff.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. W. Brockett. Some geometric questions in the theory of linear systems. IEEE Transactions on Automatic Control, 21: 449–454, 1976.

    Article  Google Scholar 

  2. U. Helmke. Zur Topologie des Raumes linearer Kontrollsysteme. PhD thesis, University of Bremen, 1982.

    Google Scholar 

  3. A. Linnemann. Existence of controllers stabilizing the reduced-order model and not the plant. Automatica, 24: 719, 1988.

    Article  Google Scholar 

  4. G. Segal. The topology of spaces of rational functions. Acta Mathematica, 143: 39–72, 1979.

    Article  Google Scholar 

  5. M. Vidyasagar. Control System Synthesis: A factorization approach. MIT Press, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

De Mari, F., Ober, R. (1990). Topological Aspects of Robust Control. In: Hinrichsen, D., Mårtensson, B. (eds) Control of Uncertain Systems. Progress in Systems and Control Theory, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2108-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-2108-9_3

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-2110-2

  • Online ISBN: 978-1-4757-2108-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics