Abstract
An scheme of composite sliding control is proposed for a class of uncertainty nonlinear system, which is based on fuzzy neural networks (FNN) and simple neural networks (SNN). The SNN is uniquely determined by the design of the global integral sliding mode surface, the output of which replaces the corrective control, and FNN is applied to mimic the equivalent control. In this scheme, the bounds of the uncertainties and the extern disturbance are not required to be known in advance, and the stability of systems is analyzed based on Lyapunov function. Simulation results are given to demonstrate the effectiveness of this scheme.
Sponsored by Shanxi Nature Science Foundation(20041049).
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References
Astrom, K.J., Wittenmark, B.: Adaptive control. Addison-Wesley, New York (1995)
Utkin, V., Guldner, J., Shi, J.: Sliding mode control in electromechanical systems. Taylor & Francis, New York (1999)
Wong, L.K., Leung, F.H.F., Tam, P.K.S.: A chattering elimination algorithm for sliding mode control of uncertain nonlinear system. Mechatronics 8, 765–775 (1998)
Ha, Q.P., Rye, D.C., Durrant-Whyte, H.F.: Fuzzy moving sliding mode control with application to robotic manipulators. Automatica 35, 607–616 (1999)
Slotine, J.J.E., Saltry, S.S.: Tracking control of nonlinear systems using sliding surface with application to robot manipulator. Int. J. Control 38, 465–492 (1983)
Fujimoto, H., Hori, Y., Kawamura, A.: Prefect tracking control based on multirate feedforword control with generalized sampling periods. IEEE Trans. Industrial Electronics 3, 636–644 (2001)
Tong, S., Li, H.X.: Fuzzy adaptive sliding-mode control for MIMO nonlinear systems. IEEE Trans. Fuzzy Syst. 11, 354–360 (2003)
Tsai, C.H., Chung, H.Y., Yu, F.M.: Neuro-sliding mode control with its applications to seesaw systems. IEEE Trans. Neural Networks 15, 124–134 (2004)
Onder Efe, M., Kaynak, O., Yu, X.H., Wilamowski, B.M.: Sliding mode control of nonlinear systems using gaussian radial basis function neural networks. In: INNS-IEEE Int. Joint Conf. on Neural Networks, pp. 474–479 (2001)
Da, F.: Decentralized sliding mode adaptive controller design based on fuzzy neural networks for interconnected uncertain nonlinear systems. IEEE Trans. Neural Networks 11, 1471–1480 (2000)
Su, J.P., Chen, T.M.: Adaptive fuzzy sliding mode control with GA-based reaching laws. J. Fuzzy and System 120, 145–158 (2001)
Liu, J.K., Sun, F.C.: Fuzzy global sliding mode control for a servo system with Lugre friction model. In: Proceedings of the 6th World Congress on Control and Automation, DaLian, China (2006)
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Hao, Y., Zhang, J., Chen, Z. (2007). Adaptive Global Integral Neuro-sliding Mode Control for a Class of Nonlinear System. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_14
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DOI: https://doi.org/10.1007/978-3-540-72383-7_14
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