非线性时变系统的自耦PID控制方法  

Auto-coupling PID control method for nonlinear time varying systems

作　　者：苏杰 曾喆昭[1] SU Jie;ZENG Zhe-zhao(College of Electrical and Information Engineering,Changsha University of Science and Technology,Changsha Hunan 410076,China)

机构地区：[1]长沙理工大学电气与信息工程学院,湖南长沙410076

出　　处：《控制理论与应用》2022年第2期299-306,共8页Control Theory & Applications

基　　金：湖南省教育厅重点项目(17A006,21A0183)资助。

摘　　要：针对一类非线性时变系统的控制问题,使用了一种基于自耦PID的控制理论方法.该方法首先将时变不确定、模型不确定定义为一个扩张状态,并将非线性时变系统映射为未知线性系统;然后使用自耦PID控制方法构造了一个闭环系统;最后在复频域分析了闭环系统的鲁棒稳定性和抗扰动鲁棒性.理论分析与仿真结果都表明了本文控制方法具有良好的动态品质和稳态性能,在未知复杂系统控制领域具有广泛的应用前景.Considering the control problem for a kind of nonlinear time varying systems, a control theory method based on auto-coupling PID was used. Firstly, the time-varying uncertainty and model uncertainty were defined as an extended state, and the nonlinear time varying system was mapped to an unknown linear system. Then a closed-loop system was constructed by using auto-coupling PID control method. Finally the robust stability and anti disturbance robustness of the closed-loop system were analyzed in the complex frequency domain. Theoretical analysis and simulation results show that the proposed control method has good dynamic quality and steady-state performance, and has a wide application prospect in the control field of unknown complex systems.

关 键 词：非线性时变系统 自耦PID控制 自适应速度因子 鲁棒稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]