Abstract
This elaboration presents the synthesis of the Takagi-Sugeno type Fuzzy Logic controller realizing the programmable parameters of the state feedback controller together with the steady state current for the active magnetic levitation system. Closed-loop dynamics was calculated precisely with respect to the requested dynamics. Two cases were considered: fixed- and variable-closed-loop dynamics. The Fuzzy Logic Controller was considered under four scenarios with linear, nonlinear, and constant in-range output. The study was supported by simulations and experimental investigations. The position of the levitating sphere stands as an illustration of the system in operation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ali Awad, O., Laith Salim, I.: Fuzzy PID gain scheduling controller for networked control system. Iraqi J. Sci. 210–216 (2021) 1
Kamala, N., Thyagarajan, T., Renganathan, S.: Fuzzy gain scheduled multivariable control of nonlinear system using PSO based PID. 403–408, 3892–3899 (2012)
Tran, H.K., Lam, P.D., Trang, T.T., Nguyen, X.T., Nguyen, H.N.: Fuzzy gain scheduling control apply to an RC hovercraft. Int. J. Electr. Comput. Eng. 10, 2434–2440 (2020) 8
Zhao, Z.Y., Tomizuka, M., Isaka, S.: Fuzzy gain scheduling of PID controllers. IEEE Trans. Syst. Man Cybernet. 23, 1392–1398 (1993)
Hady, F., Abuelenin, S.: Design and simulation of a fuzzy-supervised PID controller for a magnetic levitation system. Studies Inform. Control 17, (2008) 10
Unni, A.C., Junghare, A.S., Mohan, V., Ongsakul, W.: PID, fuzzy and LQR controllers for magnetic levitation system. Institute of Electrical and Electronics Engineers Inc., (2016) 11
Yadav, S., Tiwari, J.P., Nagar, S.K.: Digital control of magnetic levitation system using fuzzy logic controller (2012)
Pilat, A., Turnau, A.: Self-organizing fuzzy controller for magnetic levitation system. In: Computer Methods and Systems, CMS 14–16 November, Kraków, Poland, 2005, pp. 101–106 (2005)
Pilat, A.: Control of magnetic levitation systems. PhD thesis, AGH, Krakow (2002)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybernet. SMC 15, 116–132 (1985)
De Freitas Nunes, E.A., et al.: Proposal of a fuzzy controller for radial position in a bearingless induction motor. IEEE Access 7, 114808–114816 (2019)
Ahmad, A.K., Saad, Z., Osman, M.K., Isa, I.S., Sadimin, S., Abdullah, S.S.: Control of magnetic levitation system using fuzzy logic control. In: Proceeding - 2nd International Conference Computational Intelligence, Modelling and Simulation, CIMSim 2010, pp. 51–56 (2010)
García-Gutiérrez, G., et al.: Fuzzy logic controller parameter optimization using metaheuristic cuckoo search algorithm for a magnetic levitation system. Appl. Sci., 9(12) (2019)
Zhang, J., Wang, X., Shao, X.: Design and real-time implementation of Takagi-Sugeno fuzzy controller for magnetic levitation ball system. IEEE Access 8, 38221–38228 (2020)
David, R.-C. Dragos, C.-A., Bulzan, R.-G., Precup, R.-E., Petriu, E.M., Radac, M.-B.: An approach to fuzzy modeling of magnetic levitation systems. Technical Report A12 (2012)
Ma, Z., Liu, G., Liu, Y., Yang, Z., Zhu, H.: Research of a six-pole active magnetic bearing system based on a fuzzy active controller. Electronics 11(11) (2022)
Minihan, T.P., Lei, S., Sun, G., Palazzolo, A., Kascak, A.F., Calvert, T.: Large motion tracking control for thrust magnetic bearings with fuzzy logic, sliding mode, and direct linearization. J. Sound Vib. 263(3), 549–567 (2003)
Santisteban, J.A., Mendes, S.R.A., Sacramento, D.S.: A fuzzy controller for an axial magnetic bearing. In: 2003 IEEE International Symposium on Industrial Electronics (Cat. No.03TH8692), vol. 2, pp. 991–994 (2003)
Regaya, C.B., Zaafouri, A., Chaari, A.: A new sliding mode speed observer of electric motor drive based on fuzzy-logic. Technical Report 3
Zheng, W., Xia, B., Wang, W., Lai, Y., Wang, M., Wang, H.: State of charge estimation for power lithium-ion battery using a fuzzy logic sliding mode observer. Energies 12(13) (2019)
Lin, F.-C., Yang, S.-M.: Adaptive fuzzy logic-based velocity observer for servo motor drives. Technical Report
Pilat, A.K.: Active Magnetic Levitation Systems. AGH University of Science and Technology Press, Krakow, Poland (2013)
Pilat, A.: Analytical modeling of active magnetic bearing geometry. Appl. Math. Model. 34, (2010)
Nguyen, H., Prasad, R.: Fuzzy Modeling and Control: Selected Works of M. CRC Press (1999)
Joh, J., Chen, Y.-H., Langari, R.: On the stability issues of linear Takagi-Sugeno fuzzy models. IEEE Trans. Fuzzy Syst. 6, 402–410 (1998)
Teixeira, M.C.M., Zak, S.H.: Stabilizing controller design for uncertain nonlinear systems using fuzzy models. IEEE Trans. Fuzzy Syst. 7(2), 133–142 (1999)
Pilat, A.K.: Fltune - automatic fuzzy logic controler desing toolbox. Technical Report, AGH University of Science and Technology, Department of Automatic Control and Robotics (2010)
Pilat, A.K., Sikora, B., Zrebiec, J.: Investigation of lateral stiffness and damping in levitation system with opposite electromagnets*. In: 2019 12th Asian Control Conference (ASCC), pp. 1210–1215 (2019)
Sikora, B.M., Pilat, A.K.: Analytical modeling and experimental validation of the six pole axial active magnetic bearing. Appl. Math. Model. 104, 50–66 (2022)
Milanowski, H., Pilat, A.K.: Comparison of identified and simscape model of human leg motion (2020) 09
Borkowski, M., Pilat, A.K.: Customized data center cooling system operating at significant outdoor temperature fluctuations. Appl. Energy 306, 117975 (2022)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Pilat, A.K., Milanowski, H., Bieszczad, R., Sikora, B. (2023). Configurable Dynamics of Electromagnetic Suspension by Fuzzy Takagi-Sugeno Controller. In: Pawelczyk, M., Bismor, D., Ogonowski, S., Kacprzyk, J. (eds) Advanced, Contemporary Control. PCC 2023. Lecture Notes in Networks and Systems, vol 708. Springer, Cham. https://doi.org/10.1007/978-3-031-35170-9_29
Download citation
DOI: https://doi.org/10.1007/978-3-031-35170-9_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-35169-3
Online ISBN: 978-3-031-35170-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)