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Tuning algorithms for fractional order internal model controllers for time delay processes

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Abstract
This paper presents two tuning algorithms for fractional-order internal model control (IMC) controllers for time delay processes. The two tuning algorithms are based on two specific closed-loop control configurations: the IMC control structure and the Smith predictor structure. In the latter, the equivalency between IMC and Smith predictor control structures is used to tune a fractional-order IMC controller as the primary controller of the Smith predictor structure. Fractional-order IMC controllers are designed in both cases in order to enhance the closed-loop performance and robustness of classical integer order IMC controllers. The tuning procedures are exemplified for both single-input-single-output as well as multivariable processes, described by first-order and second-order transfer functions with time delays. Different numerical examples are provided, including a general multivariable time delay process. Integer order IMC controllers are designed in each case, as well as fractional-order IMC controllers. The simulation results show that the proposed fractional-order IMC controller ensures an increased robustness to modelling uncertainties. Experimental results are also provided, for the design of a multivariable fractional-order IMC controller in a Smith predictor structure for a quadruple-tank system.
Keywords
COMPENSATION, SYSTEMS, DESIGN, PI, Control design, internal model control, fractional calculus, robustness, time delays, multivariable process, experimental results

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MLA
Muresan, Cristina I., et al. “Tuning Algorithms for Fractional Order Internal Model Controllers for Time Delay Processes.” INTERNATIONAL JOURNAL OF CONTROL, vol. 89, no. 3, 2016, pp. 579–93, doi:10.1080/00207179.2015.1086027.
APA
Muresan, C. I., Dutta, A., Dulf, E. H., Pinar, Z., Maxim, A., & Ionescu, C.-M. (2016). Tuning algorithms for fractional order internal model controllers for time delay processes. INTERNATIONAL JOURNAL OF CONTROL, 89(3), 579–593. https://doi.org/10.1080/00207179.2015.1086027
Chicago author-date
Muresan, Cristina I, Abhishek Dutta, Eva H Dulf, Zehra Pinar, Anca Maxim, and Clara-Mihaela Ionescu. 2016. “Tuning Algorithms for Fractional Order Internal Model Controllers for Time Delay Processes.” INTERNATIONAL JOURNAL OF CONTROL 89 (3): 579–93. https://doi.org/10.1080/00207179.2015.1086027.
Chicago author-date (all authors)
Muresan, Cristina I, Abhishek Dutta, Eva H Dulf, Zehra Pinar, Anca Maxim, and Clara-Mihaela Ionescu. 2016. “Tuning Algorithms for Fractional Order Internal Model Controllers for Time Delay Processes.” INTERNATIONAL JOURNAL OF CONTROL 89 (3): 579–593. doi:10.1080/00207179.2015.1086027.
Vancouver
1.
Muresan CI, Dutta A, Dulf EH, Pinar Z, Maxim A, Ionescu C-M. Tuning algorithms for fractional order internal model controllers for time delay processes. INTERNATIONAL JOURNAL OF CONTROL. 2016;89(3):579–93.
IEEE
[1]
C. I. Muresan, A. Dutta, E. H. Dulf, Z. Pinar, A. Maxim, and C.-M. Ionescu, “Tuning algorithms for fractional order internal model controllers for time delay processes,” INTERNATIONAL JOURNAL OF CONTROL, vol. 89, no. 3, pp. 579–593, 2016.
@article{7084911,
  abstract     = {{This paper presents two tuning algorithms for fractional-order internal model control (IMC) controllers for time delay processes. The two tuning algorithms are based on two specific closed-loop control configurations: the IMC control structure and the Smith predictor structure. In the latter, the equivalency between IMC and Smith predictor control structures is used to tune a fractional-order IMC controller as the primary controller of the Smith predictor structure. Fractional-order IMC controllers are designed in both cases in order to enhance the closed-loop performance and robustness of classical integer order IMC controllers. The tuning procedures are exemplified for both single-input-single-output as well as multivariable processes, described by first-order and second-order transfer functions with time delays. Different numerical examples are provided, including a general multivariable time delay process. Integer order IMC controllers are designed in each case, as well as fractional-order IMC controllers. The simulation results show that the proposed fractional-order IMC controller ensures an increased robustness to modelling uncertainties. Experimental results are also provided, for the design of a multivariable fractional-order IMC controller in a Smith predictor structure for a quadruple-tank system.}},
  author       = {{Muresan, Cristina I and Dutta, Abhishek and Dulf, Eva H and Pinar, Zehra and Maxim, Anca and Ionescu, Clara-Mihaela}},
  issn         = {{0020-7179}},
  journal      = {{INTERNATIONAL JOURNAL OF CONTROL}},
  keywords     = {{COMPENSATION,SYSTEMS,DESIGN,PI,Control design,internal model control,fractional calculus,robustness,time delays,multivariable process,experimental results}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{579--593}},
  title        = {{Tuning algorithms for fractional order internal model controllers for time delay processes}},
  url          = {{http://doi.org/10.1080/00207179.2015.1086027}},
  volume       = {{89}},
  year         = {{2016}},
}

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