Abstract
A robust sliding mode adaptive tracking controller using RBF neural networks is proposed for uncertain SISO nonlinear dynamical systems with unknown nonlinearity. The Lyapunov synthesis approach and sliding mode method are used to develop a state-feedback adaptive control algorithm by using RBF neural networks. Furthermore, the H ∞ tracking design technique and the sliding mode control method are incorporated into the adaptive neural networks control scheme so that the derived controller is robust with respect to disturbances and approximate errors. Compared with conventional methods, the proposed approach assures closed-loop stability and guarantees an H ∞ tracking performance for the overall system. Simulation results verify the effectiveness of the designed scheme and the theoretical discussions.
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References
Polycarpou, M.: Stable Adaptive Neural Control Scheme for Nonlinear Systems. IEEE Trans. Automat. Contr. 41, 447–451 (1996)
Li, Y.H., Qang, Y., Zhuang, X.Y., Kaynak, O.: Robust and Adaptive Backstepping Control for Nonlinear Systems Using RBF Neural Networks. IEEE Trans. Neural Networks 15, 693–701 (2004)
Leu, Y.G., Wang, W.Y., Lee, T.T.: Robust Adaptive Fuzzy-Neural Controllers for Uncertain Nonlinear Systems. IEEE Trans. Robot. Automat. 15, 805–817 (1999)
Tzirkel-Hancock, E., Fallside, F.: Stable Control of Nonlinear Systems Using Neural Networks. Int. J. Robust Nonlinear Control 2, 63–86 (1992)
Lue, Y.G., Lee, T.T., Wang, W.Y.: Observer-Based Adaptive Fuzzy Neural Control for Unknown Nonlinear Dynamical Systems. IEEE Trans. Syst., Man, Cybern. B 29, 583–591 (1999)
Ge, S.S., Wang, C.: Direct Adaptive NN Control of a Class of Nonlinear Systems. IEEE Trans. Neural Networks 13, 214–221 (2002)
Yoo, B., Ham, W.: Adaptive Fuzzy Sliding Mode Control of Nonlinear System. IEEE Trans. Fuzzy Syst. 6, 315–321 (1998)
Park, J.H., Seo, S.J., Park, G.T.: Robust Adaptive Fuzzy Controller for Nonlinear System Using Estimation of Bounds for Approximation Errors. Fuzzy Sets and Systems 133, 19–36 (2003)
Sanner, R.M., Slotine, J.J.E.: Gaussian Networks for Direct Adaptive Control. IEEE Trans. Neural Networks 3, 837–863 (1992)
Yang, Y.S., Zhou, C.J., Ren, J.S.: Model Reference Adaptive Robust Fuzzy Control for Ship Steering Autopilot with Uncertain Nonlinear Systems. Applied Soft Computing 3, 305–316 (2003)
Chen, B.S., Lee, C.H., Chang, Y.C.: H ∞ Tracking Design of Uncertain Nonlinear SISO Systems: Adaptive Fuzzy Approach. IEEE Trans. Fuzzy Syst. 4, 32–43 (1996)
Wang, W.Y., Chan, M.L., Hsu, C.C.J., Lee, T.T.: H ∞ Tracking-Based Sliding Mode Control for Uncertain Nonlinear Systems via an Adaptive Fuzzy-Neural Approach. IEEE Trans. Syst., Man, Cybern. B 32, 483–491 (2002)
Wang, L.X.: Stable Adaptive Fuzzy Controllers with Application to Inverted Pendulum Tracking. IEEE Trans. Syst., Man Cybern. B 26, 677–691 (1996)
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Zha, X., Cui, P. (2005). Sliding Mode Control for Uncertain Nonlinear Systems Using RBF Neural Networks. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3498. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427469_4
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DOI: https://doi.org/10.1007/11427469_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25914-5
Online ISBN: 978-3-540-32069-2
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