A Novel Fuzzy Approximator with Fast Terminal Sliding Mode and Its Application
A new learning algorithm for fuzzy system to approximate unknown nonlinear continuous functions is presented. Fast terminal sliding mode combining the finite time convergent property of terminal attractor and exponential convergent property of linear system is introduced into the conventional back-propagation learning algorithm to improve approximation ability. The Lyapunov stability analysis guarantees that the approximation is stable and converges to the unknown function with improved speed. The proposed fuzzy approximator is then applied in the control of an unstable nonlinear system. Simulation results demonstrate that the proposed method is better than conventional method in approximation and tracing control of nonlinear dynamic system.
KeywordsFuzzy System Sliding Mode Terminal Sliding Mode Control Convergent Speed Finite Time Convergence
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- 1.Wang, L.X.: Fuzzy Systems are Universal Approximators. In: Proc. IEEE International Conf. on Fuzzy System, San Diego, pp. 1163–1170 (1992)Google Scholar
- 2.Zhang, T.P., Yang, Y.Q., Zhang, H.Y.: Direct Adaptive Sliding Mode Control with Nonlinearly Parameterized Fuzzy Approximators. In: Proceedings of the 4th World Congress on Intelligent Control and Automation, Shanghai, China, pp. 1915–1919 (2002)Google Scholar
- 4.Wang, L.X., Mendel, J.M.: Back-propagation Fuzzy Systems as Nonlinear Dynamic System Identifiers. In: Proc. IEEE International Conf. on Fuzzy System, San Diego, pp. 1409–1418 (1992)Google Scholar
- 7.Yu, X., Man, Z., Wu, Y.: Terminal Sliding Modes with Fast Transient Performance. In: Proceedings of the 36th IEEE CDC, San Diego, pp. 962–963 (1997)Google Scholar