摘要
针对不确定混沌系统同步问题,研究了一种自耦PID协同控制方法。该方法将系统动态和内外不确定性定义为总和扰动,从而使非线性不确定系统变换为线性不确定系统,进而构建了总和扰动激励下的动态误差系统,据此设计了由速度因子为内在联系的自耦PID协同控制器模型,并建立了增益整定规则。理论分析证明了自耦PID闭环控制系统不仅具有全局渐近稳定性能,还具有良好的抗总和扰动鲁棒性能。仿真和实验结果表明,自耦PID协同控制方法具有响应速度快、控制精度高、抗总和扰动鲁棒性良好等诸多优点。自耦PID协同控制器模型有效解决了传统PID控制增益整定难题,在未知复杂系统控制领域具有广泛的应用前景。
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.
作者
苏杰
曾喆昭
熊屹林
SU Jie;ZENG Zhe-zhao;XIONG Yi-lin(School of Electrical and Information Engineering,Changsha University of Science and Technology,Changsha 410076,China)
出处
《控制工程》
CSCD
北大核心
2022年第8期1464-1472,共9页
Control Engineering of China
基金
湖南省教育厅重点项目(17A006)
长沙理工大学科研创新项目(CX2021SS46)。
关键词
不确定混沌系统同步
自耦PID协同控制
速度因子
整定规则
全局稳定性
Synchronization of uncertain chaotic systems
auto-coupling PID cooperative control
speed factor
tuning rule
global stability
