Skip to main content
SpringerLink
Log in

Robust worst-case initialization for norm-limited output state controllers in embedded systems

Robuste Initialisierung für normbegrenzte Ausgangszustandsregler in Embedded Systems

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

Abstract

The paper addresses the problem solution of selecting the worst-case initial condition when designing output state controllers subject to the restriction of the controller matrix norm.

Zusammenfassung

Die vorliegende Arbeit präsentiert die ungünstigsten Anfangsbedingungen, unter denen ein Regelkreis mit Ausgangszustandsregler optimal entworfen werden kann, wenn zugleich seine Matrixnorm begrenzt wird.

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

  • Bruce, L. E., Lu, W. W., Balas, G. J. (2000): Linear quadratic performance with worst case disturbance rejection. Int. J. Control 73: 1516–1524.

    Article  MathSciNet  MATH  Google Scholar 

  • Fer, H., Enns, D. F. (1996): Application of dynamic inversion to stabilization of a triple inverted pendulum on a cart. IEEE Conf. on Control Applications: 708–714.

  • Khargonekar, P. P., Nagpal, K. M., Poolly, K. R. (1990): H∞ control of linear systems with nonzero initial conditions. IEEE Conf. on Decision and Control 3: 1821–1826.

    Article  Google Scholar 

  • Khargonekar, P. P., Nagpal, K. M., Pramod, K. R. (1991): H∞ control with transients. SIAM J. Control Optimization 29: 1373–1393.

    Article  MathSciNet  MATH  Google Scholar 

  • Lu, W. W., Balas, G. J. (1994): Hankel-like norm and its comparison with standard induced norm. IEEE Conf. on Decision and Control 4: 3547–3552.

    Google Scholar 

  • Ma, W. H., Peng, H. (1999): Worst-case evaluation method for dynamic systems. Trans. ASME, J. Dynamic Systems, Measurement and Control 121: 191–199.

    Article  Google Scholar 

  • Milliken, P., Marsh, C., van Brunt, B. (1998): Controller synthesis for robust performance using H∞ with transients for structured uncertainty. IEEE Conf. on Decision and Control 3: 2828–2829.

    Google Scholar 

  • Papageorgiou, M. (1991): Optimierung. München Wien: Oldenbourg.

    Google Scholar 

  • Weinmann, A. (2001): Norm constraint regard for stable H2 controllers. e&i 118 (11): 617–621.

    Google Scholar 

  • Weinmann, A. (2002): Continuous-time linear quadratic regulator subject to an additional constraint on the state controller matrix. Int. J. Automation Austria 10 (2): 97–110.

    Google Scholar 

  • Weinmann, A. (2003): Norm-limited H2 output state controller. Int. J. Automation Austria 11: 76–89.

    Google Scholar 

  • Weinmann, A. (2003a): Control systems design driven by worst-initial energy sensitivity. Cybernetics and Systems: An International Journal 34 (8): 591–615.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Automation and Control, Vienna University of Technology, Gußhausstraße 27-29/376, 1040, Vienna, Austria

    A. Weinmann O. Univ.-Prof. Dipl.-Ing. Dr. techn.

Authors
  1. A. Weinmann O. Univ.-Prof. Dipl.-Ing. Dr. techn.
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Weinmann O. Univ.-Prof. Dipl.-Ing. Dr. techn..

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weinmann, A. Robust worst-case initialization for norm-limited output state controllers in embedded systems. Elektrotech. Inftech. 121, 282–285 (2004). https://doi.org/10.1007/BF03055377

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03055377

Keywords

Schlüsselwörter

Search

Navigation