Skip to main content
SpringerLink
Log in

Robustification of control systems under uncertainty proportions

Robustifizierung von automatischen Regelungen bei Größenrelation der Unsicherheiten

  • Originalarbeit
  • Published:
e & i Elektrotechnik und Informationstechnik Aims and scope Submit manuscript

Zusammenfassung

Betrachtet werden lineare zeitkontinuierliche Systeme mit unstrukturierten Unsicherheiten innerhalb einer speziellen direkten Matrixnorm. Die höchstzulässigen Unsicherheiten werden auf analytischem Weg hergeleitet und an gegebene Entwurfskriterien angeglichen. Keine überflüssigen Reserveannahmen werden benötigt. Ein Gradientenalgorithmus für den Regler wird vorgeschlagen, um die zulässigen Unsicherheiten in Bezug auf ihre Norm erhöhen zu können und so die gesamte Regelung zu robustifizieren.

Summary

The uncertainty of a linear continuous-time system is chosen unstructured by means of a specific direct matrix norm with given proportion interrelation. The maximum admissible uncertainties are derived analytically and the control system is tuned for a given design performance. No conservatism takes place. A gradient algorithm for the controller is suggested in order to increase the admissible uncertainty in norm sense and to robustify the control system.

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

References

  • Barmish, B. R. (1994): New tools for robustness of linear systems. New York: Macmillan

    MATH  Google Scholar 

  • Doyle, J. C, Stein, G. (1979): Robustness with observers. IEEE-Trans. Automatic control 24: 607–611

    Article  MATH  MathSciNet  Google Scholar 

  • Doyle, J. C., Stein, G. (1981): Multivariable feedback design: Concepts for a classical/modern synthesis. IEEE-Trans. Automatic control 26: 4–16

    Article  MATH  Google Scholar 

  • Kharitonov, V. L. (1979): Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differential Equations 14: 1483–1485

    MATH  Google Scholar 

  • Morari M., Zafiriou, E. (1989): Robust process control. Englewood Cliffs: Prentice Hall

    Google Scholar 

  • Weinmann, A. (1991): Uncertain models and robust control. Vienna, New York: Springer

    Google Scholar 

  • Weinmann, A. (2008): The admissible spherical uncertainty for dynamic systems in state space. Cybernetics and Systems: An International Journal 39: 480–501

    Article  MATH  Google Scholar 

  • Weinmann, A. (2010): Eigenvalue cycles for robust control systems. e&i 27 (10): 263–268

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Automation and Control, Vienna University of Technology, Vienna, Austria

    A. Weinmann

Authors
  1. A. Weinmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Weinmann.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weinmann, A. Robustification of control systems under uncertainty proportions. Elektrotech. Inftech. 127, 269–273 (2010). https://doi.org/10.1007/s00502-010-0773-7

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00502-010-0773-7

Schlüsselwörter

Keywords

Search

Navigation