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Volume 3 Issue 4
Oct.  2016

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(4): 422-429
Mohammad Saleh Tavazoei, "Criteria for Response Monotonicity Preserving in Approximation of Fractional Order Systems," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 422-429, Oct. 2016.
Citation: Mohammad Saleh Tavazoei, "Criteria for Response Monotonicity Preserving in Approximation of Fractional Order Systems," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 422-429, Oct. 2016.
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Criteria for Response Monotonicity Preserving in Approximation of Fractional Order Systems

  • Electrical Engineering Department, Sharif University of Technology, Tehran 11365-9363, Iran

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This work was supported by the Research Council of Sharif University of Technology G930720

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    Abstract
  • In approximation of fractional order systems, a significant objective is to preserve the important properties of the original system. The monotonicity of time/frequency responses is one of these properties whose preservation is of great importance in approximation process. Considering this importance, the issues of monotonicity preservation of the step response and monotonicity preservation of the magnitude-frequency response are independently investigated in this paper. In these investigations, some conditions on approximating filters of fractional operators are found to guarantee the preservation of step/magnitude-frequency response monotonicity in approximation process. These conditions are also simplified in some special cases. In addition, numerical simulation results are presented to show the usefulness of the obtained conditions.

     

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