Abstract
A novel neuro-identifier-based tracking control of uncertain nonlinear chaotic system is presented. The algorithm is divided into two contributions. First, a dynamic neural networks is used to identify the unknown chaos, then a dynamic adaptive state feedback controller based on neuro-identifier is derived to direct the unknown chaotic system into desired reference model trajectories. Moreover, the identification error and trajectory error is theoretically verified to be bounded and converge to zero Computer simulations are shown to demonstrate the effectiveness of this proposed methodology.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Tanaka, T., Ikeda, T., Wang, H.O.: A Unified Approach to Controlling Chaos via an Lmi-based Fuzzy Control System Design. J. IEEE Transactions on Circuits and Systems 45, 1021–1040 (1998)
Wen, T., Yao, N.W.: Adaptive Regulation of Uncertain Chaos with Dynamical Neural Networks. J. Chinese Physics 13, 459–563 (2004)
Chen, G., Dong, X.: From Chaos to Order-Methodologies, Perspective and Applications. World Scientific, Singapore (1998)
Joo, Y.H., Shieh, L.S., Chen, G.: Hybrid State-space Fuzzy Model-based Controller with Dual-rate Sampling for Digital Control of Chaotic Systems. J. IEEE Transactions on Fuzzy Systems 7, 394–408 (1999)
Loria, A., Panteley, E.: Control of the Chaotic Duffing Equation with Uncertainty in All Parameters. J. IEEE Transactions on Circuits and Systems 45, 1252–1255 (1998)
Yu, X.: Tracking Inherent Periodic Orbits in Chaotic Dynamic Systems via Adaptive Variable Structure Time-delayed Self Control. J. IEEE Transactions on Circuits and Systems 46, 1408–1411 (1999)
George, A., Rovithakis Christodoulou, A.: Adaptive Control of Unknown Plants Using Dynamical Neural Networks. J. IEEE Transactions on Systems,Man and Cybernetics 24, 400–412 (1994)
Rouche, N., Habets, P., Laloy, M.: Stability Theory by Lyapunov’s Direct Method. Springer, New York (1977)
Narendra, K.S., Annaswamy, A.M.: Stable Adaptive Systems. Prentice Hall, Englewood Cliffs (1989)
Goodwin, G.C., Mayne, D.Q.: A parameter Estimation Perspective of Continuous Time Model Reference Adaptive Control. J. Automatica 23, 57–70 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tan, W., Sun, F., Wang, Y., Zhou, S. (2008). Neuro-Identifier-Based Tracking Control of Uncertain Chaotic System. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87734-9_81
Download citation
DOI: https://doi.org/10.1007/978-3-540-87734-9_81
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87733-2
Online ISBN: 978-3-540-87734-9
eBook Packages: Computer ScienceComputer Science (R0)