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Fractional order control of unstable processes: the magnetic levitation study case

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Abstract

Although a considerable amount of research has been carried out in the field of fractional order controllers, the majority of the results deal with stable processes. Very little research has been reported regarding the design, analysis, and tuning of fractional order controllers for unstable processes. This paper proposes a methodology for designing and tuning fractional order controllers for a class of unstable second-order processes. The design is carried out using the stability analysis of fractional order systems, by means of Riemann surfaces and a proper mapping in the \(w{\text {-}}\hbox {plane}\). The resulting fractional order controllers are implemented using graphical programming on industrial equipment and are validated experimentally using a laboratory scale magnetic levitation unit.

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Acknowledgments

This work was supported by a grant of the Romanian National Authority for Scientific Research, CNDI– UEFISCDI, project number PN-II-RU-TE-2012-3-0307

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Authors and Affiliations

  1. Department of Automation, Technical University of Cluj-Napoca, Gh. Baritiu, no.26-28, Cluj-Napoca, Romania

    Cristina I. Muresan, Clara Ionescu & Silviu Folea

  2. Department of Electrical energy, Systems and Automation, Ghent University, Technologiepark, 913, 9052 , Ghent, Belgium

    Robin De Keyser

Authors
  1. Cristina I. Muresan
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  2. Clara Ionescu
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  3. Silviu Folea
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  4. Robin De Keyser
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Corresponding author

Correspondence to Cristina I. Muresan.

Appendix

Appendix

See Figs. 14, 15, 16, and 17.

Fig. 14
figure 14

The driver used for testing, with the load controlled at a constant current

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Fig. 15
figure 15

The VI running on the FPGA

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Fig. 16
figure 16

The VI running on the real-time controller

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Fig. 17
figure 17

The VI running on the real-time controller for data saving operations, running in parallel with the control loop

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Muresan, C.I., Ionescu, C., Folea, S. et al. Fractional order control of unstable processes: the magnetic levitation study case. Nonlinear Dyn 80, 1761–1772 (2015). https://doi.org/10.1007/s11071-014-1335-z

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  • DOI: https://doi.org/10.1007/s11071-014-1335-z

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