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Frequency response computation of fractional order interval transfer functions

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Abstract

The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bode and Nyquist envelopes of transfer functions whose numerator and denominator polynomials are fractional order polynomials with interval uncertainty structure. The results obtained are useful for the analysis and design of FOICS. Numerical examples are included to illustrate the benefit of the method presented.

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Authors and Affiliations

  1. School of Computer Engineering, Inonu University, Malatya, Turkey

    Celaleddin Yeroğlu

  2. School of Electrical and Electronics Engineering, Inonu University, Malatya, Turkey

    M. Mine Özyetkin & Nusret Tan

Authors
  1. Celaleddin Yeroğlu
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  2. M. Mine Özyetkin
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  3. Nusret Tan
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Correspondence to Celaleddin Yeroğlu.

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Recommended by Editorial Board member Ju Hyun Park under the direction of Editor Hyun Seok Yang.

Celaleddin Yeroğlu received his B.Sc. degree in Electrical and Electronics Engineering from Hacettepe University in 1990. He received his Ph.D. degree in Computer Engineering from Trakya University in 2000. His research interests include fractional order control systems, robust control, nonlinear control, modeling and simulation.

M. Mine Özyetkin received her B.Sc. degree in Electrical and Electronics Engineering from İnönü University in 2003. Her research interests include robust analysis and design of fractional order control systems and nonlinear control.

Nusret Tan received his B.Sc. degree in Electrical and Electronics Engineering from Hacettepe University in 1994. He received his Ph.D. degree in control engineering from University of Sussex, Brighton, U.K., in 2000. He is currently working as a professor in the department of electrical and electronics engineering at Inonu University. His primary research interest lies in the area of systems and control.

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Yeroğlu, C., Mine Özyetkin, M. & Tan, N. Frequency response computation of fractional order interval transfer functions. Int. J. Control Autom. Syst. 8, 1009–1017 (2010). https://doi.org/10.1007/s12555-010-0510-3

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  • DOI: https://doi.org/10.1007/s12555-010-0510-3

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