Application of Combining Type 2 Fuzzy CMAC Network and Jordan Neural Network in Nonlinear System Control

Document Type : Research Paper

Authors

Lac Hong University

Abstract

This paper proposes a new solution for controlling complex nonlinear systems, through the combination of a type 2 fuzzy CMAC controller and Jordan neural network. This method takes advantage of type 2 fuzzy CMAC in dealing with uncertainties and learning ability, while the Jordan neural network helps to enhance the stability and improve the performance of the system. The adaptive learning laws were designed to help the proposed network automatically update the network parameters. The results from simulations and experiments have shown that this method achieves superior accuracy and robustness compared to other methods. When applied to control the Magnetic Levitation System, this method shows great potential in solving complex nonlinear control problems, opening up new approaches in this field.

Keywords

Main Subjects


[1] M. Abdollahzadeh, M. Pourgholi, Adaptive fuzzy sliding mode control of magnetic levitation system based on
interval type-2 fuzzy neural network identification with an extended Kalman–Bucy filter, Engineering Applications
of Artificial Intelligence, 130 (2024), 10764. https://doi.org/10.1016/j.engappai.2023.107645
[2] J. S. Albus, A new approach to manipulator control: The cerebellar model articulation controller (CMAC), Journal
of Dynamic Systems, Measurement, and Control, 97(3) (1975), 220-227. https://doi.org/10.1115/1.3426922
[3] K. N. Badri, M. Sreekumar, Diagnosing of risk state in subsystems of CNC turning center using interval type-2
fuzzy logic system with semi elliptic membership functions, International Journal of Fuzzy Systems, 78(3) (2021),
1-18. https://doi.org/10.1007/s40815-021-01172-0
[4] J. Bilski, J. Smolag, Parallel approach to learning of the recurrent Jordan neural network, Artificial Intelligence
and Soft Computing, 12th International Conference, ICAISC 2013, Zakopane, Poland, I(12) (2013), 32-40.
https://doi.org/10.1007/978-3-642-38658-9_3
[5] F. Chao, D. Zhou, C. M. Lin, C. Zhou, M. Shi, D. Lin, Fuzzy cerebellar model articulation controller network
optimization via self-adaptive global best harmony search algorithm, Soft Computing, 22(10) (2018), 3141-3153.
https://doi.org/10.1007/s00500-017-2864-4
[6] D. Das, A. K. Das, A. R. Pal, S. Jaypuria, D. K. Pratihar, G. G. Roy, Meta-heuristic algorithms-tuned Elman vs.
Jordan recurrent neural networks for modeling of electron beam welding process, Neural Processing Letters, 53
(2021), 1647-1663. https://doi.org/10.1007/s11063-021-10471-4
[7] S. Dey, S. Banerjee, J. Dey, Practical application of fractional-order PID controller based on evolutionary
optimization approach for a magnetic levitation system, IETE Journal of Research, 69(11) (2022), 8168-8192.
https://doi.org/10.1080/03772063.2022.2052983
[8] A. M. El-Nagar, M. El-Bardini, A. A. Khater, A class of general type-2 fuzzy controller based on adaptive
alpha-plane for nonlinear systems, Applied Soft Computing, 133 (2023), 109938.
https://doi.org/10.1016/j.asoc.2022.109938
[9] M. Ghasemi, M. Kelarestaghi, F. Eshghi, A. Sharifi, T2-FDL: A robust sparse representation method using
adaptive type-2 fuzzy dictionary learning for medical image classification, Expert Systems with Applications, 158
(2020), 113500. https://doi.org/10.1016/j.eswa.2020.113500
[10] S. M. Hosseini, M. Manthouri, Type 2 adaptive fuzzy control approach applied to variable speed DFIG based wind
turbines with MPPT algorithm, Iranian Journal of Fuzzy Systems, 9(1) (2022), 31-45.
https://doi.org10.22111/ijfs.2022.6549
[11] S. Karag¨oz, M. Deveci, V. Simic, N. Aydin, Interval type-2 fuzzy ARAS method for recycling facility location
problems, Applied Soft Computing, 102 (2021), 107107. https://doi.org/10.1016/j.asoc.2021.107107
[12] A. Karuppannan, M. Muthusamy, Wavelet neural learning-based type-2 fuzzy PID controller for speed regulation
in BLDC motor, Neural Computing and Applications, 33 (2021), 13481-13503.
https://doi.org/10.1007/s00521-021-05971-2
[13] A. Kumar, R. Raj, P. Gaidhane, O. Castillo, Artificial bee colony optimized precompensated interval type-2 fuzzy
logic controller for a magnetic levitation system, Recent Trends on Type-2 Fuzzy Logic Systems: Theory,
Methodology and Applications, Springer, (2023), 43-56. https://doi.org/10.1007/978-3-031-26332-3_4
[14] S. Kumari, S. Aravindakshan, U. Jain, V. C. Srinivasa, Convolutional elman Jordan neural network for
reconstruction and classification using attention window, Innovations in Computational Intelligence and Computer
Vision: Proceedings of ICICV 2020, Springer, (2021), 173-181. https://doi.org/10.1007/978-981-15-6067-5_20
[15] T. L. Le, N. V. Quynh, S. K. Hong, Multilayer interval type-2 fuzzy controller design for quadcopter unmanned
aerial vehicles using Jaya algorithm, IEEE Access, 8 (2020), 181246-181257.
https://doi.org/10.1109/ACCESS.2020.3028617
[16] C. M. Lin, M. S. Yang, F. Chao, X. M. Hu, J. Zhang, Adaptive filter design using type-2 fuzzy cerebellar model
articulation controller, IEEE Transactions on Neural Networks and Learning Systems, 27(10) (2016), 2084-2094.
https://doi.org/10.1109/TNNLS.2015.2491305
[17] S. Lv, Z. Li, J. Huang, P. Shi, A novel interval type-2 fuzzy classifier based on explainable neural network for
surface electromyogram gesture recognition, IEEE Transactions on Human-Machine Systems, 53(6) (2023), 955-64.
https://doi.org/10.1109/THMS.2023.3310524
[18] M. Manceur, N. Essounbouli, A. Hamzaoui, Second-order sliding fuzzy interval type-2 control for an uncertain
system with real application, Transactions on Fuzzy Systems, 20(2) (2012), 262-275.
https://doi.org/10.1109/TFUZZ.2011.2172948
[19] S. Mobayen, A. N. Vargas, L. Acho, G. Pujol-V´azquez, D. F. Caruntu, Stabilization of two-dimensional nonlinear
systems through barrier-function-based integral sliding-mode control: Application to a magnetic levitation system,
Nonlinear Dynamics, 111(2) (2023), 1343-1354. https://doi.org/10.1007/s11071-022-07890-w
[20] A. Mohammadzadeh, C. Zhan, K. A. Alattas, F. F. El-Sousy, M. T. Vu, Fourier-based type-2 fuzzy neural
network: Simple and effective for high dimensional problems, Neurocomputing, 547 (2023), 126316.
https://doi.org/10.1016/j.neucom.2023.126316
[21] A. K. Sahoo, S. K. Mishra, D. S. Acharya, S. Chakraborty, S. K. Swain, A comparative evaluation of a set of
bio-inspired optimization algorithms for design of two-DOF robust FO-PID controller for magnetic levitation plant,
Electrical Engineering, 105(5) (2023), 3033-3054. https://doi.org/10.1007/s00202-023-01867-7
[22] A. Salimi-Badr, M. Hashemi, H. Saffari, A type-2 neuro-fuzzy system with a novel learning method for
Parkinson’s disease diagnosis, Applied Intelligence, 53(12) (2023), 15656-15682.
https://doi.org/10.1007/s10489-022-04276-8
[23] M. A. Seto, A. Ma’arif, PID control of magnetic levitation (Maglev) system, Journal of Fuzzy Systems and
Control, 1(1) (2023), 25-27. https://doi.org/10.59247/jfsc.v1i1.28
[24] L. Su, X. Ling, Estimating weak pulse signal in chaotic background with Jordan neural network, Complexity,
2020(1) (2020), 3284587. https://doi.org/10.1155/2020/3284587
[25] D. Sundaram, Controllability criteria for type-2 fuzzy fractional-order dynamical system via mittag-leffler matrix
function using granular derivative, Iranian Journal of Fuzzy Systems, 21(5) (2024), 133-150.
https://doi.org/10.22111/ijfs.2024.47862.8422
[26] J. Tang, Z. Huang, Y. Zhu, J. Zhu, Neural network compensation control of magnetic levitation ball position based
on fuzzy inference, Scientific Reports, 12(1) (2022), 1795. https://doi.org/10.1038/s41598-022-05900-w
[27] C. Urrea, C. Dom´ınguez, J. Kern, Modeling, design and control of a 4-arm delta parallel manipulator employing
type-1 and interval type-2 fuzzy logic-based techniques for precision applications, Robotics and Autonomous
Systems, 175 (2024), 104661. https://doi.org/10.1016/j.robot.2024.104661
[28] P. Verma, R. Garg, P. Mahajan, Asymmetrical interval type-2 fuzzy logic control based MPPT tuning for PV
system under partial shading condition, ISA Transactions, 100 (2020), 251-263.
https://doi.org/10.1016/j.isatra.2020.01.009
[29] P. Vernekar, V. Bandal, Sliding mode control for magnetic levitation systems with mismatched uncertainties using
multirate output feedback, International Journal of Dynamics and Control, 11(6) (2023), 2958-2976.
https://doi.org/10.1007/s40435-023-01151-3
[30] A. T. Vo, T. N. Truong, H. J. Kang, T. D. Le, A fixed-time sliding mode control for uncertain magnetic levitation
systems with prescribed performance and anti-saturation input, Engineering Applications of Artificial Intelligence,
133 (2024), 108373. https://doi.org/10.1016/j.engappai.2024.108373
[31] C. L. Zhang, X. Z. Wu, J. Xu, Particle swarm sliding mode-fuzzy PID control based on maglev system, IEEE
Access, 9 (2021), 96337-96344. https://doi.org/10.1109/ACCESS.2021.3095490