Skip to main content
SpringerLink
Log in

Observer design for systems with time-delayed states

  • Published:
International Journal of Automation and Computing Aims and scope Submit manuscript

Abstract

Recently, the conditions of observers that can estimate directly K x(t) for an arbitrarily given K, and that are free of the effect of time delayed states of the system, are formulated. This paper points out that, because of the equivalence in formulation, the existing conditions for unknown input observers can be used to establish directly a new set of sufficient conditions for that recent observer. This new set of sufficient conditions is much simpler, and therefore much more useful and significant, than the sufficient conditions derived in that recent paper. This new set of sufficient conditions also reveals some basic mistakes of that recent paper. In addition, this paper reveals the severe restrictiveness of this new set of conditions and proposes a fundamentally new observer design formulation that can relax that set of conditions significantly.

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. H. M. Trinh, P. S. Teh, T. L. Fernando. Time-delay systems: Design of delay-free and low-order observers. IEEE Transactions on Automatic Control, vol. 55, no. 10, pp. 2434–2438, 2010.

    Article  MathSciNet  Google Scholar 

  2. P. Kudva, N. Viswanadham, A. Ramakrishna. Observers for linear systems with unknown inputs. IEEE Transactions on Automatic Control, vol. 25, no. 1, pp. 113–115, 1980.

    Article  MathSciNet  MATH  Google Scholar 

  3. C. C. Tsui. A new design approach of unknown input observers. IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 464–468, 1996.

    Article  MathSciNet  MATH  Google Scholar 

  4. C. C. Tsui. Robust Control System Design, Advanced State Space Techniques, Taylor & Francis, 2nd ed., 2004.

  5. M. Hou, P. C. Muller. Design of observers for linear systems with unknown inputs. IEEE Transactions on Automatic Control, vol. 37, no. 6, pp. 871–875, 1992.

    Article  MathSciNet  MATH  Google Scholar 

  6. C. C. Tsui. An overview of the applications and solutions of a fundamental matrix equation pair. Journal of the Franklin Institute, vol. 341, no. 6, pp. 465–475, 2004.

    Article  MathSciNet  Google Scholar 

  7. E. J. Davison, S. H. Wang. Properties and calculation of transmission zeros of linear multivariable systems. Automatica, vol. 10, no. 6, pp. 643–658, 1974.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. 743 Clove Road, Staten Island, NY, 10310, USA

    Chia-Chi Tsui

Authors
  1. Chia-Chi Tsui
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chia-Chi Tsui.

Additional information

Chia-Chi Tsui graduated from Concordia University, Montreal, Canada in 1979. He received the M. Sc. degree in 1980, and Ph.D. degree in 1983, both from the State University of New York at Stony Brook. He has authored two books: RobustControlSystemDesign-AdvancedStateSpaceTechniques, and ModernControlSystemsDesignTheory-NewDevelopments (in Chinese).

His research interest includes linear control systems theory.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsui, CC. Observer design for systems with time-delayed states. Int. J. Autom. Comput. 9, 105–107 (2012). https://doi.org/10.1007/s11633-012-0622-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11633-012-0622-8

Keywords

Search

Navigation