Auto-coupling PID Cooperative Control Method for Synchronization of Uncertain Chaotic Systems

SU Jie, ZENG Zhe-zhao, XIONG Yi-lin

Control Engineering of China ›› 2022, Vol. 29 ›› Issue (8) : 1464-1472.

Control Engineering of China ›› 2022, Vol. 29 ›› Issue (8) : 1464-1472.

Auto-coupling PID Cooperative Control Method for Synchronization of Uncertain Chaotic Systems

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Abstract

An auto-coupling proportional-integral-differential (ACPID) cooperative control method for the synchronization of uncertain chaotic systems is proposed in this paper. The system dynamics and internal and external uncertainties are defined as the total disturbance in the proposed method, so as to transform the nonlinear uncertain systems into linear uncertain systems, and then the dynamic error system driven by the total disturbance is established. On this basis, an ACPID cooperative controller model with speed factor as internal relation is designed, and the tuning rules are established. The theoretical analysis shows that the ACPID closed-loop control system has the features of global asymptotic stability and good total disturbance rejection robustness. The simulation and experimental results show that the ACPID cooperative control method has many advantages, such as fast response speed, high control accuracy and good total disturbance rejection. The ACPID cooperative controller model can effectively solve the tuning problems of traditional PID control gains, and has a wide application prospect in the unknown complex system control fields.

Key words

Synchronization of uncertain chaotic systems / auto-coupling PID cooperative control / speed factor / tuning rule / global stability

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SU Jie, ZENG Zhe-zhao, XIONG Yi-lin. Auto-coupling PID Cooperative Control Method for Synchronization of Uncertain Chaotic Systems[J]. Control Engineering of China, 2022, 29(8): 1464-1472

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