Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay

• Autorzy: Sadalla T. , Horla D. , Giernacki W. , Kozierski P.

Identyfikatory

DOI

10.1515/aee-2017-0052

• Języki publikacji: EN

Abstrakty

EN

The paper aims at presenting the influence of an open-loop time delay on the stability and tracking performance of a second-order open-loop system and continuoustime fractional-order PI controller. The tuning method of this controller is based on Hermite- Biehler and Pontryagin theorems, and the tracking performance is evaluated on the basis of two integral performance indices, namely IAE and ISE. The paper extends the results and methodology presented in previous work of the authors to analysis of the influence of time delay on the closed-loop system taking its destabilizing properties into account, as well as concerning possible application of the presented results and used models.

Słowa kluczowe

EN

fractional-order control; FOPI controller; stability analysis; time delay; tracking

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2017
• Tom: Vol. 66, nr 4
• Strony: 693--704
• Opis fizyczny: Bibliogr. 17 poz., rys., tab., wz.

Twórcy

autor

Sadalla T.

• Faculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, Poland

autor

Horla D.

• Faculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, Poland

autor

Giernacki W.

• Faculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, Poland

autor

Kozierski P.

• Faculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, Poland
• Faculty of Computing, Institute of Automation and Robotics, Poznan University of Technology Division of Electronic Systems and Signal Processing Piotrowo 3a, 60-965 Poznań, Poland

Bibliografia

• [1] Azarmi R., Tavakoli-Kakhki M., Sedigh A.K., Fatehi A., Robust Fractional Order PI Controller Tuning Based on Bode's Ideal Transfer Function, 6th IFAC Symposium on System Structure and Control (SSSC), Istanbul, vol. 49, no. 9, pp. 158-163 (2016).
• [2] Bellmann R., Cooke K.L., Differential-Difference Equations, Academic Press (1963).
• [3] Caponetto R., Dongola G., Fortuna L., Petras L., Fractional Order Systems Modeling and Control Applications, World Scientific Series on Nonlinear Science, series A, no. 72 (2010).
• [4] Hafasi S., Laabidi K., Farkh R., Synthesis of a fractional PI controller for a first-order time delay system, Transactions of the Institute of Measurement and Control, vol. 35, no. 8, pp. 997-2007 (2013).
• [5] Kaczorek T., Selected Problems of Fractional Systems Theory, Springer (2011).
• [6] Latawiec K.J., Łukaniszyn M., Stanisławski R., Advances in Modelling and Control of Non-integer Order Systems, 6th Conference on Non-integer Order Calculus and its Applications, Springer (2014).
• [7] Natori K., A Design Method of Time-Delay Systems with Communication Disturbance Observer by Using Pade Approximation, 12th IEEE International Workshop on Advanced Motion Control (AMC), Sarajevo, Bosnia and Herzegovina, pp. 1-6, (2012) DOI: 10.1109/AMC.2012.6197119.
• [8] Natori K., Ohnishi K., A Design Method of Communication Disturbance Observer for Time-Delay Compensation, Taking the Dynamic Property of Network Disturbance into Account, IEEE Transactions on Industrial Electronics, vol. 55, no. 5, pp. 2152-2168 (2008).
• [9] Podlubny I., Fractional Differential Equations, Academic Press (1999).
• [10] Podlubny I., Fractional order systems and PID controller, IEEE Transactions on Automatic Control, vol. 44, no. 2, pp. 208-214 (1999).
• [11] Giernacki W., Horla D., Sadalla T., Coelho J.P., Robust CDM and pole placement PID based thrust controllers for multirotor motor-roto simplified model: The comparison in a context of using antiwindup compensation, 12th International Siberian Conference on Control and Communications (SIBCON), Moscow, Russia, pp. 1-5, (2016) DOI: 10.1109/SIBCON.2016.7491826.
• [12] Sadalla T., Horla D., Analysis of simple anti-windup compensation in approximate pole-placement control of a second order oscillatory system with time-delay, 20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 1062-1066, (2015)DOI: 10.1109/MMAR.2015.7284026.
• [13] Sadalla T., Horla D., Analysis of simple anti-windup compensation in pole-placement control of a second order oscillatory system, Measurement Automation Monitoring (MAM), vol. 61, no. 2, pp. 54-57 (2015).
• [14] Sadalla T., Horla D., Giernacki W., Kozierski P., Stability analysis and tracking performance of fractional-order PI controller for a second-order oscillatory system with time-delay, 21st International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 322-326, (2016) DOI: 10.1109/MMAR.2016.7575155.
• [15] Sadalla T., Horla D., Kozierski P., Owczarkowski A., Stability analysis of simple anti-windup compensation in approximate pole-placement control of a second order oscillatory system with time delay, 21st International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 312-315, (2016) DOI: 10.1109/MMAR.2016.7575153.
• [16] Sondhi S., Hote Y.V., Fractional Order PI Controller with Specific Gain-Phase Margin for MABP Control, IETE Journal of Research, vol. 61, no. 2, pp. 142-153 (2015).
• [17] Yüce A., Tan N., Atherton D.P., Fractional order PI controller for time delay systems, 13th IFAC Workshop on Time Delay Systems TDS 2016, Istanbul, vol. 49, no. 10, pp. 94-99 (2016).

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).