Abstract
A motivation for using fuzzy systems and fuzzy control stems in part from the fact that they are particularly suitable for industrial processes when the physical systems or qualitative criteria are too complex to model and they have provided an efficient and effective way in the control of complex uncertain nonlinear or illdefined systems. In recent years, fuzzy logic systems have received much attention from control theorists as a powerful tool for nonlinear control. In this chapter, we first introduce fuzzy modeling methods for some classical chaotic systems via the Takagi–Sugeno (T–S) fuzzy model. Next, we model some hyperchaotic systems using the T–S fuzzy model and then, based on these fuzzy models, we develop an H ∞ synchronization method for two different hyperchaotic systems. Finally, the problem of synchronizing a class of time-delayed chaotic systems based on the T–S fuzzy model is considered.
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(2009). Synchronizing Chaotic Systems Based on Fuzzy Models. In: Controlling Chaos. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-84882-523-9_8
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DOI: https://doi.org/10.1007/978-1-84882-523-9_8
Publisher Name: Springer, London
Print ISBN: 978-1-84882-522-2
Online ISBN: 978-1-84882-523-9
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