Abstract
In this paper, an Adaptive Fuzzy Sliding Mode combined with Model Reference Adaptive System (MRAS) is proposed to a single input-single output nonlinear system. The main goal of this paper is the control of second order nonlinear system. Firstly, adaptive fuzzy sliding mode is applied to design the controller. Next, a performance of system and a chattering phenomenon are improved by adjusting parameters of the controller via MRAS. Finally, an example is presented to illustrate the proposed methods. By applying Lyapunov stability theory, the adaptive law that is derived in this study is robust and convergent quickly. The simulation results and analysis show that the proposed method is better than Adaptive Fuzzy Sliding Mode in the sense of robustness against disturbance and reduce the chattering.
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References
Ren, X.M., Rad, A.B., Chan, P.T., Lo, W.L.: Identification and control of continuous-time nonlinear systems via dynamic neural networks. IEEE Trans. Ind. Electron. 50(3), 478–486 (2003)
Bessa, W.M., Dutra, M.S., Kreuzer, E.: Adaptive fuzzy sliding mode control of underwater robotic vehicles. In: Proceedings of the XII International Symposium on Dynamic Problem of Mechanics, Brazil (2007)
Karsenti, L., Lamnabhi-Lagarrigue, F., Bastin, G.: Adaptive control of nonlinear parameterizaion. System Control Lett. 27, 87–97 (1996)
Abid, H., Chtourou, M., Toumi, A.: Robust fuzzy sliding mode control for discrete nonlinear systems. Intl. J. Comput. Commun. Control. III(1), 6–20 (2008)
Wang, L.-X.: Stable adaptive fuzzy control of nonlinear system. IEEE Trans. Fuzzy Syst. 1(2), 146–155 (1993)
Wang, L.-X.: Adaptive Fuzzy and Control. Prentice Hall, Upper Saddle River (1994)
Khalli, H.K.: Nonlinear Systems, 2nd edn. Prentice Hall, Upper Saddle River (1996)
Astolfi, A., Marconi, L.: Analysis and Design of Nonlinear Control Systems. Springer, Heidelberg (2008)
Phuoc, N.D.: Analysis and Control Nonlinear System. Science and Technics Publishing House, Hanoi (2012)
Krener, A.J.: On the equivalence of control system and linearization of nonlinear systems. SIAM J. Control Optim. 11, 670–676 (1973)
Cheng, D., Isidori, A., Respondek, W., Tarn, T.J.: Exact linearization of nonlinear with ouput. Math. Syst. Theory 21, 63–68 (1998)
Kosoko, B.: Fuzzy systems as universal approximators. IEEE Trans. Comput. 43(11), 1329–1333 (1989)
Amerongen, V.J.: Intelligent, Control (Part 1)-MRAS, Lecture Notes. University of Twente, The Netherlands, March (2004)
Abbas, H., Sajjad, S.Q.: Sliding mode control of coupled tank liquid level control system. In: IEEE 10th International Conference on Frontires of Information Technology (2012)
Acknowledgments
This research was supported by the MOET (The Ministry of Education and Training), Viet Nam, under grant no. B2016-TN01-01.
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Thiem, P.V., Lai, L.K., Quynh, N.T.T. (2017). Improved Adaptive Fuzzy Sliding Mode Control for Second Order Nonlinear System. In: Akagi, M., Nguyen, TT., Vu, DT., Phung, TN., Huynh, VN. (eds) Advances in Information and Communication Technology. ICTA 2016. Advances in Intelligent Systems and Computing, vol 538. Springer, Cham. https://doi.org/10.1007/978-3-319-49073-1_28
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DOI: https://doi.org/10.1007/978-3-319-49073-1_28
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