Skip to main content
SpringerLink
Log in

Theory of residence time control by output feedback

  • Conference paper
  • First Online:
Mechanics and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 151))

  • 277 Accesses

Abstract

The problem of residence time control by the observer based output feedback is formulated and solved for the case of linear systems with small additive input noise. Both noiseless and noisy measurements are considered. In the noiseless measurements case, it is shown that the fundamental bounds on the achievable residence time depend on the nonminimum phase zeros of the system. In the noisy measurements case, the achievable residence time is shown to be always bounded, and an estimate of this bound is given. Controller design techniques are presented. The development is based on the asymptotic large deviations theory.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.I. Freidlin and A.D. Wentzell, Random Perturbations of Dynamical Systems, New York: Springer-Verlag, 1984.

    Google Scholar 

  2. S.M. Meerkov and T. Runolfsson, “Residence Time Control”, IEEE Trans. Automat. Contr., Vol. AC-33, No. 4, pp. 323–332, April 1988.

    Article  Google Scholar 

  3. S.M. Meerkov and T. Runolfsson, “Output Residence Time Control,” IEEE Trans. Automat. Contr., to appear, 1989.

    Google Scholar 

  4. H. Kwakernaak and R. Sivan, “The Maximally Achievable Accuracy of Linear Optimal Regulators and Linear Optimal Filters,” IEEE Trans. Automat. Contr., Vol. AC-17, 1972.

    Google Scholar 

  5. D.L. Russell, Mathematics of Finite Dimensional Control Systems, New York: Marcel Dekker, 1979.

    Google Scholar 

  6. U. Shaked and E. Soroka, “A Simple Solution to the Singular Linear Minimum-Variance Estimation Problem,” IEEE Trans. Automat. Contr., Vol. AC-32, pp. 81–84, January 1987.

    Article  Google Scholar 

  7. J.C. Allwright and J.Q. Mao, “Optimal Output Feedback by Minimizing ∥K(F)∥2,” IEEE Trans. Automat. Contr., Vol. AC-27, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering and Computer Science, the University of Michigan, 48109-2122, Ann Arbor, MI

    S. M. Meerkov

  2. Department of Electrical and Computer Engineering, The Johns Hopkins University, 21218, Baltimore, MD

    T. Runolfsson

Authors
  1. S. M. Meerkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Runolfsson
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. M. Skowronski H. Flashner R. S. Guttalu

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Meerkov, S.M., Runolfsson, T. (1991). Theory of residence time control by output feedback. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006728

Download citation

  • DOI: https://doi.org/10.1007/BFb0006728

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53517-1

  • Online ISBN: 978-3-540-46752-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation