Skip to main content
SpringerLink
Log in

Stabilization of Discrete Time-Varying Systems by Output Control

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Stabilization of a discrete linear time-varying system with uniformly bounded parameters and one output by output control is studied by synthesizing an asymptotically stable observer with a given observation error attenuation rate and solving the problem of stabilization by state control through special similarity transformations.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. Lewis, J., Challenge to Control. A Collective View, IEEE Trans. Autom. Control, 1988, vol. 32, no. 2, pp. 1187–1195.

    Google Scholar 

  2. Rotea, M.A. and Khargonekar, F.F., Stabilizability of Linear Time-Varying and Uncertain Linear Systems, IEEE Trans. Autom. Control, 1998, vol. 75, no. 9, pp. 701–705.

    Google Scholar 

  3. D'Angello, A., Linear Time-Varying Control Systems, New York: Wiley, 1990.

    Google Scholar 

  4. Morozov, V.M. and Kalenova, V.I., Otsenki i upravlenie v nestatsionarnykh lineinykh sistemakh (Estimates and Control in Linear Time-Varying Systems), Moscow: Nauka, 1989.

    Google Scholar 

  5. Zuber, I.E., Stabilization of Nonlinear Systems by Similarity Transformations, J. Appl. Math. Stoch. Anal., 1998, vol. 11, no. 4, pp. 519–526.

    Google Scholar 

  6. Zuber, I.E., Spectral Stabilization of Nonlinear Control System via A Special Similarity Transformation, Vest. SPbGU, Ser. 1, 2000, issue 2, no. 8, pp. 8–13.

  7. Zuber, I.E., Synthesis of Dynamical Systems by Similarity Transformations. Control Applications of Optimization, 11th IAC Int. Workshop, St. Petersburg, 2000.

  8. Zuber, I.E., Spectral Stabilization of Nonlinear Discrete Systems by a Special Similarity Transformation, Differ. Uravnen. Protsessy Upravlen, 1998, no 4.

  9. Deza, F. and Gauthier, J.P., A Simple and Robust Nonlinear Estimator, CDC Conf., Brighton, 1991, pp. 531–533.

  10. Zuber, I.E., Design of an Exponentially Stable Observer for Linear Time-Varying Single-Output Systems, Avtom. Telemekh., 1995, no. 8, pp. 42–47.

  11. Gantmakher, F.R., Teoriya matrits, Moscow: Nauka, 1988. Translated under the title The Theory of Matrices, New York: Chelsea, 1959.

    Google Scholar 

  12. Zuber, I.E., Optimal Structure of Feedback for a Monotonically Stabilized Pulse System, Upravl. sist., 1969, issue 3, pp. 23–32.

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    I. E. Zuber

Authors
  1. I. E. Zuber
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zuber, I.E. Stabilization of Discrete Time-Varying Systems by Output Control. Automation and Remote Control 63, 421–432 (2002). https://doi.org/10.1023/A:1014750400665

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014750400665

Keywords

Search

Navigation