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On Fractional PIλ Controllers: Some Tuning Rules for Robustness to Plant Uncertainties

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Abstract

The objective of this work is to find out optimum settings for a fractional PIλ controller in order to fulfill three different robustness specifications of design for the compensated system, taking advantage of the fractional order, λ. Since this fractional controller has one parameter more than the conventional PI controller, one more specification can be fulfilled, improving the performance of the system and making it more robust to plant uncertainties, such as gain and time constant changes. For the tuning of the controller an iterative optimization method has been used, based on a nonlinear function minimization. Two real examples of application are presented and simulation results are shown to illustrate the effectiveness of this kind of unconventional controllers.

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Authors and Affiliations

  1. Industrial Engineering School, University of Extremadura, 06071, Badajoz, Spain

    Concepción A. Monje, Antonio J. Calderon & Blas M. Vinagre

  2. CSOIS, Department of Electrical and Computer Engineering, Utah State University, Logan, UT, 84322-4120, U.S.A.

    Yangquan Chen

  3. High Technical School of Industrial Engineering, University of Castilla-La Mancha, 13071, Ciudad Real, Spain

    Vicente Feliu

Authors
  1. Concepción A. Monje
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  2. Antonio J. Calderon
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  3. Blas M. Vinagre
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  4. Yangquan Chen
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  5. Vicente Feliu
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Correspondence to Concepción A. Monje.

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Monje, C., Calderon, A., Vinagre, B. et al. On Fractional PIλ Controllers: Some Tuning Rules for Robustness to Plant Uncertainties. Nonlinear Dyn 38, 369–381 (2004). https://doi.org/10.1007/s11071-004-3767-3

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  • DOI: https://doi.org/10.1007/s11071-004-3767-3

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