H∞ synchronization of uncertain fractional order chaotic systems: Adaptive fuzzy approach

This paper presents a novel adaptive fuzzy logic controller (FLC) equipped with an adaptive algorithm to achieve H∞ synchronization performance for uncertain fractional order chaotic systems. In order to handle the high level of uncertainties and noisy training data, a desired synchronization error can be attenuated to a prescribed level by incorporating fuzzy control design and H∞ tracking approach. Based on a Lyapunov stability criterion, not only the performance of the proposed method is satisfying with an acceptable synchronization error level, but also a rather simple stability analysis is performed. The simulation results signify the effectiveness of the proposed control scheme.

► We model an uncertain fractional order chaotic system by fuzzy logic system. ► Lyapunov theorem is used to test the stability of the proposed control scheme. ► The synchronization error can be attenuated by H∞ approach.