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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… Click to show full 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.
Journal Title: Journal of Control, Automation and Electrical Systems
Year Published: 2021
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