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Fuzzy chaos synchronization via sampled driving signals. (English) Zbl 1129.93430
Summary: A methodology to design a system that robustly synchronizes a master chaotic system from a sampled driving signal is developed. The method is based on the fuzzy Takagi-Sugeno representation of chaotic systems, from which a continuous-time fuzzy observer is designed as the solution of an LMI minimization problem such that the error dynamics have $H_{\infty}$ disturbance attenuation performance. Then, from the dual-system approach, the fuzzy observer is digitally redesigned such that the performance is maintained for the sampled master system. The effectiveness of the proposed synchronization methodology is finally illustrated via numerical simulations of the chaotic Chen’s system.

93C42Fuzzy control systems
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
93D15Stabilization of systems by feedback
34C28Complex behavior, chaotic systems (ODE)
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