Skip to main content
SpringerLink
Log in

Control of Systems with Inaccesible States

  • Chapter
Discrete Systems

Part of the book series: Communications and Control Engineering Series ((CCE))

Abstract

In Chapter 4, we considered the feedback design problem of discrete-time systems, and developed linear control laws which required access to the system state vector for implementation. It has been shown that the feedback gain matrices can be determined by assigning the closed-loop eigenvalues to desired locations. In cases where only a small number of system variables (outputs) are directly available for forming feedback signals, some of the closed-loop eigenvalues can be positioned close to desired locations. It was shown that the remaining eigenvalues may take arbitrary values and this may lead to undesirable performance for the overall system.

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

Access this chapter

Log in via an institution
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 109.99
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. Luenberger, D.G. “Observing the State of a Linear System”, IEEE Trans. Military Electr., vol. MIL-8, 1964, 74–80.

    Google Scholar 

  2. Luenberger, D.G. “Observers for Multivariable Systems”, IEEE Trans. Automat. Contr., vol. AC-11, 1966, 190–197.

    Google Scholar 

  3. Luenberger, D.G. “An Introduction to Observers”, IEEE Trans. Automat. Contr., vol. AC-16, 1971, 596–602.

    Google Scholar 

  4. Leondes, C.T. and L.M. Novak “Optimal Minimal-Order Observers for Discrete Systems–A Unified Theory”, Automatica, vol. 8, 1972, 379–387

    Article  Google Scholar 

  5. Kwakernaak, H. and R. Sivan “Linear Optimal Control Systems”, Wiley Inter-Science, N.Y., 1972.

    Google Scholar 

  6. Yuksel, Y.O. and J.J. Bongiorno “Observers for Linear Multivariable Systems With Applications”, IEEE Trans. Automat Contr.,vol. AC-16, 1971, 603–613.

    Google Scholar 

  7. Chen, C.T. “Introduction to Linear System Theory”, Holt, Rinehart and Winston, N.Y., 1970.

    Google Scholar 

  8. Willems, J.L. “Design of State Observers for Linear Discrete-Time Systems, Int. J. Syst. Sci., vol. 11, 1980, 139–147.

    Article  MATH  MathSciNet  Google Scholar 

  9. Gopinath, B. “On the Control of Linear Multiple Input-Output Systems”, Bell Syst. Tech. J., vol. 50, 1971, 1063–1081.

    MATH  MathSciNet  Google Scholar 

  10. Ramakrishna, K. and V. Gourishankar “Optimal Observers with Specified Eigenvalues”, Int. J. Control, vol. 27, 1978, 239–244.

    Article  Google Scholar 

  11. Gourishanker, V. and P. Kudva, “Optimal Observers for State Regulation of Linear Discrete-Time Plants”, Int. J. Control, vol. 26, 1977, 359–368.

    Article  Google Scholar 

  12. Kudva, P. and V. Gourishankar “Observers for Linear Discrete Multivariable Systems With Inaccessible Inputs”, Int. J. Control, vol. 27, 1978, 539–546.

    Article  Google Scholar 

  13. Arbel, A. and E. Tse“Observer Design for Large-Scale Linear Systems”, IEEE Trans. Automat. Contr., vol. AC-24, 1979, 469–476.

    Google Scholar 

  14. Porter, B. “Deadbeat State Reconstruction of Linear Multivariable Discrete-Time Systems”, Electr. Lett., vol. 9, 1973, 176–177.

    Article  MathSciNet  Google Scholar 

  15. O’Reilly, J. “Observer Design for the Minimum-Time State Reconstruction of Linear Discrete-Time Systems”, J. Dynamic Systems, Measurement and Control, vol. 101, 1979, 350–354.

    Article  Google Scholar 

  16. Ichikawa, K. “Discrete-Time Fast Regulator with Fast Observer”, Int. J. Control, vol. 28, 1978, 733–742.

    Article  MathSciNet  Google Scholar 

  17. Ichikawa, K. “Synthesis of Optimal Feedback Control Systems With Model Feedback Observers”, J. Dynamic Systems, Measurement and Control, vol. 96, 1974, 470–474.

    Article  MATH  Google Scholar 

  18. Ichikawa, Y. “Design of Discrete-Time Deadbeat Reduced-Order State Observer”, Int. J. Control, vol. 29, 1979, 93–101.

    Article  Google Scholar 

  19. Luenberger, D.G. “Canonical Forms for Linear Multivariable Systems”, IEEE Trans. Automat. Contr., vol. AC-12, 1967, 290–293.

    Google Scholar 

  20. Porter, B. and A. Bradshaw “Design of Deadbeat Controllers and Full-Order Observers for Linear Multivariable Discrete-Time Plants”, Int. J. Control, vol. 22, 1975, 149–155.

    Article  Google Scholar 

  21. Porter, B. “Deadbeat Control of Discrete-Time Systems Incorporating Deadbeat Discrete-Time Observers”, Electr. Lett., vol. 9, 1973, 547–548.

    Article  MathSciNet  Google Scholar 

  22. Mahmoud, M.S. and M.G. Singh, “Decentralised State Reconstruction of Interconnected Discrete Systems”, Large Scale Systems, vol. 2, 1981, 151–158.

    Google Scholar 

  23. Ben-Israel, A. and T.N.E. Greville“Generalised Inverses: Theory and Applications”, Wiley, N.Y., 1974.

    Google Scholar 

  24. Mahmoud, M.S. and M.G. Singh“Large Scale Systems Modelling”, Pergamon Press, Oxford, 1981, Ch. 6

    Google Scholar 

  25. Mahmoud, M.S. “Structural Properties of Discrete Systems With Slow and Fast Modes”, Large Scale Systems, vol. 3, 1982, 227–236.

    MathSciNet  Google Scholar 

  26. Wilson, D.A. “Model Reduction for Multivariable Systems”, Int. J. Control, vol. 20, 1974, 57–64.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Electrical and Computer Engineering Dept., Kuwait University, Kuwait

    Magdi S. Mahmoud (Professor)

  2. Manchester, UK

    Madan G. Singh (Professor of Control Engineering at U.M.I.S.T.)

Authors
  1. Magdi S. Mahmoud
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Madan G. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin, Heidelberg

About this chapter

Cite this chapter

Mahmoud, M.S., Singh, M.G. (1984). Control of Systems with Inaccesible States. In: Discrete Systems. Communications and Control Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82327-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82327-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82329-9

  • Online ISBN: 978-3-642-82327-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation