Skip to main content
SpringerLink
Log in

Matrix assignment with individual weights and selected controller restrictions

Matrixvorgabe mit individuellen Gewichten und ausgewählten Reglereinschränkungen

  • Reviewed Original Papers
  • Published:
e&i Elektrotechnik und Informationstechnik Aims and scope Submit manuscript

An Erratum to this article was published on 01 January 2002

Abstract

The design method of matrix assignment as a generalization of pole assignment is extended with some special features. Overstepping the optimal solution given by the Penrose point could be needed in the case of unstable plants. Individual weighting of the coefficient matrix differences is carried out and oriented on the numerical importance of the settings. Individual restrictions of the controller matrix are also included and are based on the given deterioration of state variables with noise. The paper also addresses minimum values of the controller norm which are located between singular values of the input matrix of the system.

Zusammenfassung

Die Matrixvorgabe beim Entwurf von Mehrgrößenregelungen, als Verallgemeinerung der bekannten Polvorgabe, wird erweitert. Die Überschreitung des Bestpunkts der Penrose-Lösung wird bei manchen instabilen Strecken erforderlich. Die individuelle Gewichtung der Matrixelemente wird eingeführt, um der Matrixvorgabe entsprechende Gestaltungsfreiheit zu geben. In Abhängigkeit von der Verrauschung von Zustandsgrößen wird auch die individuelle Gewichtung der Elemente des Zustandsreglers in die Rechnung einbezogen. Schließlich werden Minimalwerte der Zustandsreglernorm angegeben, die zwischen den Singularwerten der Eingangsmatrix gelegen sind.

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. Keerthi, S. S., Phatak, M. S.: Regional pole placement of multivariable systems under control structure constraints. IEEE Trans. Automat. Contr., vol. AC-40 (1995), pp. 272–276.

    Article  MATH  MathSciNet  Google Scholar 

  2. Piazzi, A.: Pole placement under structural constraints. IEEE-Trans. Automat. Contr. vol. AC-35 (1990), pp. 759–761.

    Article  MATH  MathSciNet  Google Scholar 

  3. Weinmann, A.: Optimum system matrix assignment subject to limited controller effort. IEEE Conference on Decision and Control, Phoenix, Arizona, vol. WeA04 (1999), pp. 1421–1426.

  4. Weinmann, A.: Matrix assignment and restriction of the actuator peaks by modified Widrow-Hoff learning. e&i 117 (2000), nr. 1, pp 32–35.

    Google Scholar 

  5. Weinmann, A.: Soft eigenvalue assignment with limited disturbance feedforward, and state controller norm. e&i 117 (2000), nr.12, pp.785–788.

    Google Scholar 

  6. Weinmann, A.: Matrix assignment subject to Lyapunov and closed-loop norm conditions. 2001 American Control Conference, Arlington, Virginia, MP12-5.

Download references

Author information

Authors and Affiliations

  1. Institute of Automatic Control, Vienna University of Technology, Gußhausstraße 27-29/375, A-1040, Vienna

    A. Weinmann ÖVE (Senior Member IEEE)

Authors
  1. A. Weinmann ÖVE
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/BF03161467.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weinmann, A. Matrix assignment with individual weights and selected controller restrictions. Elektrotech. Inftech. 118, 569–574 (2001). https://doi.org/10.1007/BF03158995

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03158995

Keywords

Schlüsselwörter

Search

Navigation