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A new type\u20103 (T3) fuzzy\u2010based system (FLS) with an online optimization scheme is designed to cope with chaotic behavior, high\u2010level uncertainties, and unknown dynamics. An adaptive compensator also eliminates the effect of approximation errors (AEs) and perturbations. The stability of the dynamics of synchronization errors is guaranteed by the use of the Lyapunov method. 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