A simple Adaptive Neural Fuzzy Design for Hyper-Chaos Control under External Disturbance
Keywords:
ANFIS; Hyper-chaotic; Control; Error
Abstract
In this paper, an adaptive neural fuzzy control method is proposed to control hyper-chaotic dynamic systems. Due to the inherent complexity of hyper-chaotic systems, the neural fuzzy network training architecture is described, which includes the type and number of training inputs. The training data for the adaptive neural fuzzy network is based on nonlinear control. In other words, the data of a nonlinear controller, which includes error vectors and control input vectors, is used for neural fuzzy training. The numerical simulation results show that the proposed method is suitable for controlling hyper-chaotic systems. After the controller design, an external disturbance is added to the model to evaluate the performance of the ANFIS controller. The time to reach zero error and the behavior of the control signal are discussed, this can be an important issue in real-world implementation and manufacturing.
References
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[25] Xi X, Mobayen S, Ren H, Jafari S. “Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control”. Journal of Vibration and Control. 2018; 24(17):3842-3854. doi:10.1177/1077546317713532
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[27] QijiaYao, “Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control”, Chaos, Solitons & Fractals, Volume 142, January 2021, 110372
[28] Reza Behinfaraz, Sehraneh Ghaemi, Sohrab Khanmohammadi, Mohammad Ali Badamchizadeh, “Time-varying parameters identification and synchronization of switching complex networks using the adaptive fuzzy-impulsive control with an application to secure communication”, Asian Journal of Control, Volume24, Issue1, January 2022, Pages 377-387
[29] Zhou, P.; Cao, Y.; Cheng, X. “A new hyperchaos system and its circuit simulation by EWB”. Chin. Phys. B 2009, 18, 1394–1398.
[30] Hamidzadeh, S. M., Rezaei, M., & Ranjbar-Bourani, M. (2023). “Chaos synchronization for a class of uncertain chaotic supply chain and its control by ANFIS”. International Journal of Production Management and Engineering, 103–116. https://doi.org/10.4995/ijpme.2023.18139
[2] Edward N Lorenz. “Deterministic Non-periodic Flow”. Journal of the atmospheric science. Vol 20. 130-141. 1963
[3] O.E. Rössler, “An equation for hyperchaos”, Phys. Lett. A 71, 155–157. 1979
[4] S.M.Hamidzadeh, R. Esmaelzadeh,. “Control and Synchronization Chaotic Satellite using active Control.” International Journal of Computer Applications (0975 – 8887). Volume 94 – No 10, May 2014. 2014
[5] Tchinda, T.H., Wouapi, K.M., Njitacke, Z.T. “Hopf Bifurcation, Multistability and its Control in a Satellite System.” J. Vib. Eng. Technol. 10, 2293–2311 . https://doi.org/10.1007/s42417-022-00567-z. 2022
[6] Mehran Tabasi & Saeed Balochian. “Active fault-tolerant synchronisation of fractional-order chaotic gyroscope system,” Journal of Control and Decision, 8:2, 213-221, DOI: 10.1080/23307706.2020.1717381. 2021
[7] S.M.Hamidzadeh and Mahdi Yaghoobi,. “Chaos control of permanent magnet synchronization motor using single feedback control”. 2 nd International conference on Knowledge-Based engineering and innovation (KBEI). 2015
[8] Takhi, H., Moysis, L., Machkour, N. “Predictive control and synchronization of uncertain perturbed chaotic permanent-magnet synchronous generator and its microcontroller implementation”. Eur. Phys. J. Spec. Top. 231, 443–451 (2022). https://doi.org/10.1140/epjs/s11734-021-00422-4
[9] Emad E.Mahmoud, Abo-Dahab, “ dynamic properties and complex anti synchronization with application to secure communications for a novel chaotic complex nonlinear model”, Chaos, Solitons & Fractals, Volume 106, January 2018, Pages 273-284
[10] W. He, T. Luo, Y. Tang, W. Du, Y. -C. Tian and F. Qian, "Secure Communication Based on Quantized Synchronization of Chaotic Neural Networks Under an Event-Triggered Strategy," in IEEE Transactions on Neural Networks and Learning Systems, vol. 31, no. 9, pp. 3334-3345, Sept. 2020, doi: 10.1109/TNNLS.2019.2943548.
[11] Hamid Rezaie, M.H. Kazemi-Rahbar, Behrooz Vahidi, Hasan Rastegar, “Solution of combined economic and emission dispatch problem using a novel chaotic improved harmony search algorithm,” Journal of Computational Design and Engineering, Volume 6, Issue 3, July 2019, Pages 447–467, https://doi.org/10.1016/j.jcde.2018.08.001
[12] S.M.Hamidzadeh, rezaei M, ranjbar-buorani M. “Control and synchronization of the hyperchaotic closed-loop supply chain network by PI sliding mode control.” International Journal of Industrial Engineering & Production Research December 2022 Vol. 33, No. 4: 1-13, DOI: 10.22068/ijiepr.33.3.8
[13] Lizhao Yan, Jian Liu, Fei Xu, Kok Lay Teo, Mingyong Lai. (2020). “Control and synchronization of hyperchaos in digital manufacturing supply chain”. Applied Mathematics and Computation, Volume 391, 15 February 2021, 125646
[14] B. R. Andrievskii and A. L. Fradkov. (2003). “Control of Chaos: Methods and Applications. I”. Methods. Automation and Remote Control, Vol. 64, No. 5, 2003, pp. 673-713
[15] B. R. Andrievskii and A. L. Fradkov. (2004). “Control of Chaos: Methods and Applications. II.” Applications. Automation and Remote Control, Vol. 65, No. 4, 2004, pp. 505-533
[16] Ott, E., Grebogi, C. and Yorke, J.A., “Cotrolling chaos”, Phys.Rev.Lett., 64(11), 1196-1199,1990
[17] E.W. Bai, K. E. Lonngren, “Synchronization of two Lorenz systems using active control,” Chaos, Solitons& Fractals, vol. 9, pp. 1555-61, 1998.
[18] Guowei, Xuab, Shaoda, Zhaoa Yi, Chenga , “Chaotic synchronization based on improved global nonlinear integral sliding mode control”, Computers & Electrical Engineering, Volume 96, Part A, December 2021.
[19] CongWang, HongliZhang, WenhuiFan, PingMa, “Adaptive control method for chaotic power systems based on finite-time stability theory and passivity-based control approach”, Chaos, Solitons & Fractals, Volume 112, July 2018, Pages 159-167
[20] Henning Lenz and Dragan Obradovic, “Robust Control of the Chaotic Lorenz System”, International Journal of Bifurcation and Chaos,Vol. 07, No. 12, pp. 2847-2854 1997.
[21] BinLiu, ZhijieSun, YihaoLuo, YuxuanZhong, “Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control”, Physica A: Statistical Mechanics and its Applications, Volume 531, 1 October 2019.
[22] Munoz-Pacheco, J.M.; Volos, C.; Serrano, F.E.; Jafari, S.; Kengne, J.; Rajagopal, K. “Stabilization and Synchronization of a Complex Hidden Attractor Chaotic System by Backstepping Technique”. Entropy , 23, 921. https://doi.org/10.3390/e23070921. 2021
[23] YudeXia, JingWang, BoMeng, Xiangyong Chen, “Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems”, Applied Mathematics and Computation, Volume 379, 15 August 2020,
[24] SM Hamidzadeh, Vahid Ahmadian, “Synchronization of Chaotic systems via Nonlinear Control Design based on Lyapunov”, Majlesi Journal of Mechatronic Systems, Vol 5 No 2. 2016
[25] Xi X, Mobayen S, Ren H, Jafari S. “Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control”. Journal of Vibration and Control. 2018; 24(17):3842-3854. doi:10.1177/1077546317713532
[26] Alain SOUPTEW, KAMMOGNE, Vannick FOPA MAWAMBA, Jacques KENGNE, “Robust prescribed-time stabilization for fuzzy sliding mode synchronization for uncertain chaotic systems”, European Journal of Control, Volume 59, May 2021, Pages 29-37
[27] QijiaYao, “Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control”, Chaos, Solitons & Fractals, Volume 142, January 2021, 110372
[28] Reza Behinfaraz, Sehraneh Ghaemi, Sohrab Khanmohammadi, Mohammad Ali Badamchizadeh, “Time-varying parameters identification and synchronization of switching complex networks using the adaptive fuzzy-impulsive control with an application to secure communication”, Asian Journal of Control, Volume24, Issue1, January 2022, Pages 377-387
[29] Zhou, P.; Cao, Y.; Cheng, X. “A new hyperchaos system and its circuit simulation by EWB”. Chin. Phys. B 2009, 18, 1394–1398.
[30] Hamidzadeh, S. M., Rezaei, M., & Ranjbar-Bourani, M. (2023). “Chaos synchronization for a class of uncertain chaotic supply chain and its control by ANFIS”. International Journal of Production Management and Engineering, 103–116. https://doi.org/10.4995/ijpme.2023.18139
Published
2023-06-26
How to Cite
Hamidzadeh, seyyed mohamad, & Yaghoobi, M. (2023). A simple Adaptive Neural Fuzzy Design for Hyper-Chaos Control under External Disturbance. Majlesi Journal of Mechatronic Systems, 11(3), 27-32. Retrieved from https://ms.majlesi.info/index.php/ms/article/view/538
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Articles
