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

(2015) NONLINEAR DYNAMICS. 80(4). p.1761-1772
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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-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.
Keywords
NONLINEAR CONTROL, SLIDING-MODE CONTROL, SYSTEMS, DESIGN, PI, STABILIZATION, Unstable second-order process, Stability of fractional order systems, Closed loop experimental results, Robustness

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Citation

Please use this url to cite or link to this publication:

MLA
Muresan, Cristina I. et al. “Fractional Order Control of Unstable Processes: The Magnetic Levitation Study Case.” NONLINEAR DYNAMICS 80.4 (2015): 1761–1772. Print.
APA
Muresan, C. I., Ionescu, C.-M., Folea, S., & De Keyser, R. (2015). Fractional order control of unstable processes: the magnetic levitation study case. NONLINEAR DYNAMICS, 80(4), 1761–1772.
Chicago author-date
Muresan, Cristina I., Clara-Mihaela Ionescu, Silviu Folea, and Robain De Keyser. 2015. “Fractional Order Control of Unstable Processes: The Magnetic Levitation Study Case.” Nonlinear Dynamics 80 (4): 1761–1772.
Chicago author-date (all authors)
Muresan, Cristina I., Clara-Mihaela Ionescu, Silviu Folea, and Robain De Keyser. 2015. “Fractional Order Control of Unstable Processes: The Magnetic Levitation Study Case.” Nonlinear Dynamics 80 (4): 1761–1772.
Vancouver
1.
Muresan CI, Ionescu C-M, Folea S, De Keyser R. Fractional order control of unstable processes: the magnetic levitation study case. NONLINEAR DYNAMICS. 2015;80(4):1761–72.
IEEE
[1]
C. I. Muresan, C.-M. Ionescu, S. Folea, and R. De Keyser, “Fractional order control of unstable processes: the magnetic levitation study case,” NONLINEAR DYNAMICS, vol. 80, no. 4, pp. 1761–1772, 2015.
@article{6892466,
  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-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.}},
  author       = {{Muresan, Cristina I. and Ionescu, Clara-Mihaela and Folea, Silviu and De Keyser, Robain}},
  issn         = {{0924-090X}},
  journal      = {{NONLINEAR DYNAMICS}},
  keywords     = {{NONLINEAR CONTROL,SLIDING-MODE CONTROL,SYSTEMS,DESIGN,PI,STABILIZATION,Unstable second-order process,Stability of fractional order systems,Closed loop experimental results,Robustness}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{1761--1772}},
  title        = {{Fractional order control of unstable processes: the magnetic levitation study case}},
  url          = {{http://dx.doi.org/10.1007/s11071-014-1335-z}},
  volume       = {{80}},
  year         = {{2015}},
}

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