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T–S fuzzy observed based design and synchronization of chaotic and hyper-chaotic dynamical systems

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In this paper, we present the Takagi–Sugeno (T–S) fuzzy observed based design and synchronization of chaotic and hyper chaotic dynamical systems. Using T–S fuzzy observed based design, the fuzzy logic… Click to show full abstract

In this paper, we present the Takagi–Sugeno (T–S) fuzzy observed based design and synchronization of chaotic and hyper chaotic dynamical systems. Using T–S fuzzy observed based design, the fuzzy logic controllers for chaotic synchronization are constructed via linear matrix inequality (LMI). Lyapunov exponents of 3D and 4D Chen systems have been calculated. This represents the chaoticity and hyper chaoticity of Chen systems. Analytical and computational studies of chaotic and hyper chaotic Chen systems have been performed by using LMI toolbox. The qualitative and simulated results show the validity and the performance of the proposed observer in an excellent agreement.

Keywords: hyper chaotic; chaotic hyper; observed based; based design; fuzzy observed

Journal Title: International Journal of Dynamics and Control
Year Published: 2018

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