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Design of a fuzzy sliding-mode synchronization controller for two different chaos systems. (English) Zbl 1219.93042
Summary: This investigation presents a fuzzy sliding-mode technology for synchronizing two chaotic systems. A method of designing a fuzzy sliding-mode control (FSMC) is presented, which utilizes a variable normalization factor. FSMC is designed to guarantee the global asymptotic synchronization of state trajectories of two different chaotic systems. The chaotic systems are numerically simulated to demonstrate the validity and feasibility of the proposed control structure.

MSC:
93B52 Feedback control
93D15 Stabilization of systems by feedback
34D06 Synchronization of solutions to ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
93B12 Variable structure systems
93C42 Fuzzy control/observation systems
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