T–S fuzzy ℋ∞ synchronization for chaotic systems via delayed output feedback control

In this paper, we propose a new ℋ∞ synchronization strategy, called a fuzzy delayed output feedback ℋ∞ synchronization (FDOFHS) strategy, for chaotic systems in the presence of external disturbance. Based on Lyapunov–Krasovskii theory, the T–S fuzzy model, and a delayed feedback control scheme, the FDOFHS controller can guarantee stable synchronization. Furthermore, this controller reduces the effect of external disturbance to an ℋ∞ norm constraint. The proposed controller can be obtained by solving the linear matrix inequality (LMI) problem. A simulation study is presented to demonstrate the validity of the proposed FDOFHS approach.

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