Dynamics and Control

, Volume 1, Issue 1, pp 63–81 | Cite as

Theory of residence-time control by output feedback

  • S. M. Meerkov
  • T. Runolfsson


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.


Linear System Controller Design Design Technique Output Feedback Additive Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. J.C. Allwright and J.Q. Mao, “Optimal Output Feedback by Minimizing ||K(F)||2IEEE Trans. Automat. Contr., vol. AC-27, no. 3, pp. 729–731, June 1982.Google Scholar
  2. M.I. Freidlin and A.D. Wentzell,Random Perturbations of Dynamical Systems, Springer-Verlag: New York, 1984.Google Scholar
  3. H. Kwakernaak and R. Sivan, “The Maximally Achievable Accuracy of Linear Optimal Regulators and Linear Optimal Filters,”IEEE Trans. Automat. Contr., vol. AC-17, no. 1, pp. 79–86, February 1972.Google Scholar
  4. S.M. Meerkov and T. Runolfsson, “Residence Time Control,”IEEE Trans. Automat. Contr., vol. AC-33, no. 4, pp. 323–332, April 1988.Google Scholar
  5. S. M. Meerkov and T. Runolfsson, “Output Residence Time Control,”IEEE Trans. Automat. Contr., vol. AC-34, no. 11, pp. 1171–1176, November 1989.Google Scholar
  6. D.L. Russell,Mathematics of Finite Dimensional Control Systems, Marcel Dekker: New York, 1979.Google Scholar
  7. 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.Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • S. M. Meerkov
    • 1
  • T. Runolfsson
    • 2
  1. 1.Department of Electrical Engineering and Computer ScienceThe University of MichiganAnn Arbor
  2. 2.Department of Electrical and Computer EngineeringThe Johns Hopkins UniversityBaltimore

Personalised recommendations