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Controlling and Synchronization of Chaotic Systems Via Takagi–Sugeno Fuzzy Adaptive Feedback Control Techniques

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Abstract

In this research article, we have addressed the T-S (Takagi–Sugeno) fuzzy modeling and controlling and adaptive synchronization of chaotic systems. Based on the T-S fuzzy model, the fuzzy logic for controlling and synchronization for chaotic systems are designed via linear matrix inequality (LMI). We have illustrated the new chaotic Chen system. Lyapunov exponents and bifurcation diagrams of new Chen system are obtained to justify the chaos in system. Analytical and computational studies of new Chen systems with triangular fuzzy membership function have been performed by using LMI toolbox. Numerical simulation illustrates the controlling chaos as well as adaptive synchronization for the identical systems. Feedback gain matrices and Lyapunov positive definite matrix for the synchronization of identical new Chen systems are obtained.

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Authors and Affiliations

  1. Amity School of Engineering and Technology, Amity University Patna, Bailey Road, Rupaspur, Patna, 801503, India

    Sanjay Kumar

  2. Department of Mathematics, Faculty of Natural Sciences, Jammia Millia Islamia, New Delhi, 110025, India

    Ayub Khan

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  1. Sanjay Kumar
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  2. Ayub Khan
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Correspondence to Sanjay Kumar.

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Kumar, S., Khan, A. Controlling and Synchronization of Chaotic Systems Via Takagi–Sugeno Fuzzy Adaptive Feedback Control Techniques. J Control Autom Electr Syst 32, 842–852 (2021). https://doi.org/10.1007/s40313-021-00714-z

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  • DOI: https://doi.org/10.1007/s40313-021-00714-z

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