Abstract
This paper develops a fuzzy hyperbolic control method for chaotic continuous-time systems with uncertainties. First, the generalized fuzzy hyperbolic model (GFHM) is used to model unknown part of a chaotic system. Second, based on Lyapunov functional approach, a sufficient condition for a fuzzy hyperbolic controller and a state feedback controller is given such that the closed-loop system is asymptotic stable. Moreover, considering the influence of both approximation error and external disturbance, fuzzy hyperbolic H āāā control scheme is addressed . All the results are given in terms of LMI forms, the effectiveness of the proposed method is shown by a simulation example.
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Ā© 2006 Springer-Verlag Berlin Heidelberg
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Yang, D., Zhang, H., Wang, Z., Wang, Y. (2006). GFHM Model and Control for Uncertain Chaotic System. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_6
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DOI: https://doi.org/10.1007/978-3-540-37275-2_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37274-5
Online ISBN: 978-3-540-37275-2
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