Fuzzy-Based Adaptive Control and Synchronization of Chaotic and Hyper-Chaotic Nonlinear Systems

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Manisha Kumari, Awadh Bihari Yadav

Abstract

This paper presents a comprehensive study on fuzzy-based adaptive control
and synchronization of chaotic and hyper-chaotic nonlinear systems. The research
integrates fuzzy logic control, anti-synchronization, and time-delay adaptive synchronization frameworks to enhance stability and synchronization performance in
Lorenz and Chen systems. The results demonstrate the feasibility and robustness
of the proposed methods, providing new insights for applications in secure communications, control engineering, and complex system modeling

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References

E. N. Lorenz, “Deterministic nonperiodic flow,” J. Atmos. Sci., vol. 20, no. 2, pp.

–141, 1963.

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev.

Lett., vol. 64, pp. 821–824, 1990.

E. Ott, C. Grebogi, and J. A. Yorke, “Controlling chaos,” Phys. Rev. Lett., vol. 64,

pp. 1196–1199, 1990.

G. Chen and T. Ueta, “Yet another chaotic attractor,” Int. J. Bifurcation Chaos,

vol. 9, pp. 1465–1466, 1999.

A. E. Matouk, “Stability conditions, hyperchaos and control in a novel fractional

order hyperchaotic system,” Phys. Lett. A, vol. 373, pp. 2166–2173, 2009.

Y. Fan, W. Wang, and Y. Lin, “Synchronization of a class of chaotic systems based

on adaptive control design of input-to-state stability,” Int. J. Innovative Comput.,

Inf. and Control, vol. 11, no. 3, 2015.