Skip to main content
SpringerLink
Log in

A sectoring algorithm for exact computation of the frequency response of linear interval systems

  • Published:
Circuits, Systems and Signal Processing Aims and scope Submit manuscript

Abstract

An algorithm for the exact computation of the frequency responses of linear interval systems is obtained. For the computation a sectoring stage is added to an elimination algorithm to eliminate interior curves. It is shown that the intersection of a ray and the frequency response set is an empty set or a line segment whose endpoints are extrema of the functions defined. Required mathematical analysis tools for the development of the sectoring algorithm and an illustrative example are provided.

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. F. N. Bailey and C. H. Hui, A fast algorithm for computing parametric rational functions,IEEE Trans. Automat. Control, 34 (1989), 1209–1212.

    Google Scholar 

  2. F. N. Bailey, D. Panzer, and G. Gu, Two algorithms for frequency domain design of robust control systems,Int. J. Control, 48 (1988), 1787–1806.

    Google Scholar 

  3. M. Brown and I. R. Petersen, Exact computation of the Horowitz bound for interval plants,Proc. 30th Conf. on Decision and Control, 1991, 2268–2273.

  4. M. Fu, Computing the frequency response of linear systems with parametric perturbations.Sys. Cont. Lett., 15 (1990), 45–52.

    Google Scholar 

  5. P. Gutman, C. Baril, and L. Neumann, An algorithm for computing value sets of uncertain transfer functions in factored real form,IEEE Trans. Automat. Control, 39 (1994), 1268–1273.

    Google Scholar 

  6. C. Hwang and J. Chen, Computation of the frequency response of interval systems,Circuits Sys. Signal Process., 15 (1996), 807–818.

    Google Scholar 

  7. A. Karamancioğlu, V. Dzhafarov, and C. Özdemìr, Frequency response of PID controlled linear interval systems,Circuits Sys. Signal Process., 15 (1996), 735–748.

    Google Scholar 

  8. R. J. Minnichelli, J. J. Anagnost, and C. A. Desoer, An elementary proof of Kharitonov's stability theorem with extensions.IEEE Trans. Automat. Control, 34 (1989), 995–998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Electrical Engineering Department, Osimangazi University, Bademlik-Eskisehir, Turkey

    A. Karamanctoğlu & V. Dzhafarov

Authors
  1. A. Karamanctoğlu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Dzhafarov
    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

Karamanctoğlu, A., Dzhafarov, V. A sectoring algorithm for exact computation of the frequency response of linear interval systems. Circuits Systems and Signal Process 17, 483–493 (1998). https://doi.org/10.1007/BF01201504

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01201504

Keywords

Search

Navigation