Skip to main content

Connective Stabilization of Large-Scale Systems: A Stable Factorization Approach

  • Chapter
Book cover Robust Control of Linear Systems and Nonlinear Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 4))

Abstract

This paper considers a decentralized stabilization problem for large-scale linear systems composed of interconnected subsystems. The proper stable factorization approach is taken to design local dynamic controllers for the subsystems. Conditions are presented under which we can stabilize a given large-scale system so that stability of the resultant closed-loop system is robust to bounded perturbations of the interconnections among subsystems.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.00
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

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. M. Araki and B. Kondo, Stability and transient behavior of composite nonlinear systems, IEEE Trans. Automatic Control, Vol.AC-17, pp. 537–541, 1972.

    Article  Google Scholar 

  2. M. Ikeda, Decentralized control of large scale systems, Three Decades of Mathematical System Theory,H. Nijmeijer and J. M. Schumacher, eds., Lecture Notes in Control and Information Sciences, Springer Verlag, Heidelberg, 1989 (to appear).

    Google Scholar 

  3. M. Ikeda and H. L. Tan, Decentralized control for connective stability: A factorization approach, Proc. China-Japan Joint Symposium on System Control Theory and Its Applications, pp. 15–20, 1989.

    Google Scholar 

  4. C. N. Nett, C. A. Jacobson and M. J. Balas, A connection between state-space and doubly coprime fractional representations, IEEE Trans. Automatic Control, Vol.AC-29, pp. 831–832, 1984.

    Article  Google Scholar 

  5. H. L. Tan and M. Ikeda, Decentralized stabilization for expanding construction of large-scale systems, IEEE Trans. Automatic Control (submitted).

    Google Scholar 

  6. D. D. Siljak, Large-Scale Dynamic Systems: Stability and Structure, North-Holland, New York, 1978.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Birkhäuser Boston

About this chapter

Cite this chapter

Ikeda, M., Tan, HL. (1990). Connective Stabilization of Large-Scale Systems: A Stable Factorization Approach. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_12

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-4484-4_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8839-8

  • Online ISBN: 978-1-4612-4484-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics