Skip to main content

Stabilization of Large Scale Linear Discrete-Time Systems by Reduced Order Controllers

  • Conference paper
Advances in Computer Science and Information Technology (CCSIT 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 131))

  • 1063 Accesses

Abstract

This paper investigates the stabilization of large scale discrete-time linear systems by reduced order controllers. Conditions are derived for the design of reduced order controllers for the discrete-time linear systems by obtaining a reduced order model of the original plant using the dominant state of the system. The reduced order controllers are assumed to use only the state of the reduced order model of the original plant.

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 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.00
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. Cumming, S.D.: Design of observers of reduced dynamics. Electronics Letters 5, 213–214 (1969)

    Article  Google Scholar 

  2. Fortman, T.E., Williamson, D.: Design of low-order observers for linear feedback control laws. IEEE Trans. Automatic Control. 17, 301–308 (1971)

    Article  MathSciNet  Google Scholar 

  3. Litz, L., Roth, H.: State decomposition for singular perturbation order reduction – a modal approach. Internat. J. Control. 34, 937–954 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lastman, G., Sinha, N., Rozsa, P.: On the selection of states to be retained in reduced-order model. IEE Proc., Part D. 131, 15–22 (1984)

    Article  MATH  Google Scholar 

  5. Anderson, B.D.O., Liu, Y.: Controller reduction: concepts and approaches. IEEE Trans. Automatic Control. 34, 802–812 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  6. Mustafa, D., Glover, K.: Controller reduction by H  ∞  balanced truncation. IEEE Trans. Automatic Control 36, 668–682 (1991)

    Article  MathSciNet  Google Scholar 

  7. Aldeen, M.: Interaction modelling approach to distributed control with application to interconnected dynamical systems. Internat. J. Control. 53, 1035–1054 (1991)

    Article  MathSciNet  Google Scholar 

  8. Aldeen, M., Trinh, H.: Observing a subset of the states of linear systems. IEE Proc. Control Theory Appl. 141, 137–144 (1994)

    Article  MATH  Google Scholar 

  9. Sundarapandian, V.: Distributed control schemes for large scale interconnected discrete-time linear systems. Math. Computer Modelling. 41, 313–319 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sundarapandian, V., Kavitha, M., Ravichandran, C.S.: Reduced order model using the dominant state of linear discrete-time systems. Internat. J. Computational Applied Math. 5, 301–312 (2010)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vaidyanathan, S., Madhavan, K. (2011). Stabilization of Large Scale Linear Discrete-Time Systems by Reduced Order Controllers. In: Meghanathan, N., Kaushik, B.K., Nagamalai, D. (eds) Advances in Computer Science and Information Technology. CCSIT 2011. Communications in Computer and Information Science, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17857-3_57

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17857-3_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17856-6

  • Online ISBN: 978-3-642-17857-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics