### Sliding mode synchronization of fractional-order T chaotic systems with logarithmic

MENG Xiaoling, MAO Beixing

1. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, Henan, China
• Published:2020-10-19

Abstract: By using the Barbalat lemma and fractional-order stability theory, and constructing proper fractional-order sliding mode surface and fractional-order proportion integral sliding mode surface, the controllers were designed to realize the synchronization control of integer model and fractional-order T chaotic systems. The research conclusion illustrated that the derive-responsive systems of fractional-order T chaotic systems could get sliding mode synchronization under certain conditions. MATLAB numerical simulation proved the correctness of the conclusions.

CLC Number:

• O482.4