A Comparison between Integer Order and Non-integer Order Controllers Applied to a Water Levelling System

Authors

  • Bartosz Kania Lublin University of Technology, Department of Automatics and Metrology, Lublin, Poland
  • Tomasz Dziwiński AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Krakow, Poland
  • Waldemar Bauer AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Krakow, Poland
  • Marta Zagórowska AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Krakow, Poland
  • Jerzy Baranowski AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Krakow, Poland

DOI:

https://doi.org/10.7494/automat.2014.18.2.71

Keywords:

non-integer order systems, PID, optimization, tank system

Abstract

The purpose of this paper is to compare responses of two systems with two types of controllers: integer order PI controller and non-integer order PIλ controller (FOPI). Comparison is made on the grounds of time domain responses of waters level in tank. In order to design both of the controllers, numerical model is established and described. Synthesis method with use of simulated annealing optimisation method is developed for each controller. In order to do a correct comparison, the two control systems have the same designing parameters. Matlab/Simulink environment and numerical model are used to do the computing. Numerically designed controllers are verified experimentally with tank system. The obtained results show that using non-integer order PIλ controller instead of a ”traditional” PI controller in simple integrating systems is useless.

References

Dziwiński T., Bauer W., Baranowski J., Piątek P., Zagórowska M., Robust Non-integer Order Controller for Air Heating Process Trainer, [in:] Latawiec K.J., Łukaniszyn M., Stanisławski R. (Eds.), Advances in Modelling and Control of on-integer-Order Systems, 2015, 249–256.

Bauer W., Dziwiński T., Baranowski J., Piątek P., Zagórowska M., Comparison of Performance Indices for Tuning of PIλ D µ Controller for Magnetic Levitation System, [in:] Latawiec K.J., Łukaniszyn M., Stanisławski R. (Eds.), Advances in Modelling and Control of Non-integer-Order Systems, 2015, 125–133.

Dziwiński T., Bauer W., Baranowski J., Piątek P., Zagórowska M., Robust non-integer order controller for air heater. 19th International Conference on Methods and Models in Automation and Robotics, MMAR, 2015.

Bauer W., Baranowski J., Mitowski W., Non-integer order PIαDµ control ICU-MM. Theory & Appl. of Non-integer Order Syst. Lecture Notes in Electrical Engineering, 257:295–303, Springer, Heidelberg, 2013

Rosół M., Application of nonlinear control methods for tanks system (in Polish). Pomiary, Automatyka, Kontrola, 7/8:30–34, 2001.

Oustaloup A., La commande CRONE: commande robuste d’ordre non entier Hermes, 1991.

Oustaloup A., F. Levron F., Mathieu B., Nanot F.M., Frequency-band complex noninteger differentiator: characterization and synthesis. Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on, 47(1):25–39, 2000.

Downloads

Published

2015-07-02

How to Cite

Kania, B., Dziwiński, T., Bauer, W., Zagórowska, M., & Baranowski, J. (2015). A Comparison between Integer Order and Non-integer Order Controllers Applied to a Water Levelling System. Automatyka/Automatics, 18(2), 71. https://doi.org/10.7494/automat.2014.18.2.71

Issue

Section

Articles