Robust Synchronization of Fractional-Order Chaotic System Subject to Disturbances

Dongya Li (), Xiaoping Zhang, Shuang Wang and Fengxiang You
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Dongya Li: Applied Technology College of Soochow University, Suzhou 215325, China
Xiaoping Zhang: Applied Technology College of Soochow University, Suzhou 215325, China
Shuang Wang: Applied Technology College of Soochow University, Suzhou 215325, China
Fengxiang You: School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215021, China

Mathematics, 2022, vol. 10, issue 24, 1-15

Abstract: This paper studies the synchronization problem for a class of chaotic systems subject to disturbances. The nonlinear functions contained in the master and slave systems are assumed to be incremental quadratic constraints. Under some assumptions, a feedback law is designed so that the error system behaves like the H ∞ performance. Meanwhile, the detailed algorithm for computing the incremental multiplier matrix is also given. Finally, one numerical example and one practical example are simulated to show the effectiveness of the designed method.

Keywords: fractional-order; chaotic systems; robust synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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