Abstract
In this work we will present a control method for DC motors based on non-integer PID, PD and PI controllers. The original element in this paper consists of a comparative analysis of various controllers stabilizing the position of the motor shaft To design all controller types we are using global optimization method simulated annealing.
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References
Åström, K.J.: Model uncertainty and robust control. In: Lecture Notes on Iterative Identification and Control Design, pp. 63–100 (2000)
Baranowski, J.: Projektowanie obserwatora dla serwomechanizmu prądu stałego. In: Materiały VIII Międzynarodowych Warsztatów Doktoranckich OWD 2006, vol. 2, pp. 373–378 (2006)
Baranowski, J., Długosz, M., Ganobis, M., Skruch, P., Mitkowski, W.: Applications of mathematics in selected control and decision processes. Matematyka Stosowana: pismo Polskiego Towarzystwa Matematycznego 12/53(spec. issue), 65–90 (2011)
Baranowski, J., Długosz, M., Mitkowski, W.: Remarks about DC motor control. Arch. Control Sci. 18(LIV)(3), 289–322 (2008)
Baranowski, J., Długosz, M., Mitkowski, W.: Nonlinear observer based control of DC servo. In: Materiały XXXII Międzynarodowej konferencji z podstaw elektrotechniki i teorii obwodów IC-SPETO, Ustroń, pp. 115–116 (2009). Extended version on CD
Bauer, W.: Implementation of Non-integer PI\(^\lambda \)D\(^\mu \) controller for the ATmega328P Micro-controller. In: 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 118–121 (2016)
Bauer, W., Baranowski, J., Dziwiński, T., Piątek, P., Zagórowska, M.: Stabilisation of magnetic levitation with a pi\(^{\lambda }\)d\(^{\mu }\) controller. In: 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 638–642 (2015)
Bauer, W., Rydel, M.: Application of reduced models of non-integer order integrator to the realization PI\(^\lambda \)D controller. In: 2016 39th International Conference on Telecommunications and Signal Processing, pp. 611–614 (2016)
Długosz, M., Lerch, T.: Komputerowa identyfikacja parametrów silnika prądu stałego. Przegląd Elektrotechniczny (2010)
Długosz, M., Mitkowski, W.: Adaptive LQR controller for angular velocity stabilisation in series DC motor. In: XXXI IC-SPETO-2008 (2008)
Dziwiński, T., Bauer, W., Baranowski, J., Piątek, P., Zagórowska, M.: Robust non-integer order controller for air heater. In: 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 434–438 (2014)
Mitkowski, W., Baranowski, J.: Observer design for series dc motor – multi output approach. In: Materiały XXX Międzynarodowej konferencji z podstaw elektrotechniki i teorii obwodów IC-SPETO, Ustroń, pp. 135–136 (2007). Extended version on CD
Mitkowski, W., Zagórowska, M., Bauer, W.: Comparative analysis of DC motor control system. In: Propulsion Systems, Mechatronics and Communication. Applied Mechanics and Materials, vol. 817, pp. 111–121. Trans Tech Publications Ltd. (2016). https://doi.org/10.4028/www.scientific.net/AMM.817.111
Oustaloup, A., Levron, F., Mathieu, B., Nanot, F.M.: Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans. Circ. Syst. I: Fundam. Theory Appl. 47(1), 25–39 (2000)
Paszek, S., Berhausen, S., Boboń, A., Majka, Ł., Nocoń, A., Pasko, M., Pruski, P., Kraszewski, T., Szuster, D.: Estymacja parametrów dynamicznych generatorów synchronicznych. Prace Naukowe Politechniki Śląskiej. Elektryka 1, 105–108 (2015)
Petráš, I.: Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation. Nonlinear Physical Science. Springer, Heidelberg (2011)
Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Mathematics in Science and Engineering, vol. 198. Elsevier Science, Amsterdam (1998)
Sieklucki, G., Bisztyga, B., Zdrojewski, A., Orzechowski, T., Sykulski, R.: Modele i Zasady Sterowania Napędami Elektrycznymi. Wydawnictwo AGH (2014)
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Mitkowski, W., Bauer, W. (2020). Comparison of Non-integer PID, PD and PI Controllers for DC Motor. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_76
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DOI: https://doi.org/10.1007/978-3-030-50936-1_76
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