基于子空间非参数模型的PID控制器性能优化  

Performance Optimization of PID Controller Based on Subspace Nonparametric Model

作　　者：储天舒 王志国 刘飞 CHU Tianshu;WANG Zhiguo;LIU Fei(Key Laboratory for Advanced Process Control of Light Industry,Ministry of Education,School of Internet of Things Engineering,Jiangnan University,Wuxi 214122,China;Institute of Automation,School of Internet of Things Engineering,Jiangnan University,Wuxi 214122,China)

机构地区：[1]江南大学物联网工程学院轻工过程先进控制教育部重点实验室,江苏无锡214122 [2]江南大学物联网工程学院自动化研究所,江苏无锡214122

出　　处：《控制工程》2025年第4期683-690,共8页Control Engineering of China

基　　金：国家自然科学基金面上项目(61773183)。

摘　　要：为了提高比例积分微分(proportional integral differential,PID)控制器的性能,提出了一种基于子空间模型的PID控制器参数优化方法。首先,利用子空间矩阵等式推导出控制器性能关于PID控制器参数的显式表达。然后,利用具有设定值激励的闭环数据,分别对过程模型和随机扰动模型对应的子空间矩阵进行辨识,并且将估计的动态矩阵直接应用在最优性能的计算中,得到最优的控制器参数值。最后,通过数值仿真和工业实例验证了该方法的有效性。A proportional integral differential(PID)controller parameter optimization method based on the subspace model is proposed to improve the performance of the PID controller.Firstly,the explicit expression of the controller performance with respect to the PID controller parameters is deduced by using the subspace matrix equation.Then,the subspace matrices corresponding to the process model and the random disturbance model are identified by using the closed-loop data with set point excitation,and the estimated dynamic matrix is directly applied in the calculation of the best performance to obtain the optimal controller parameter values.Finally,the effectiveness of the proposed method is verified by a numerical simulation and an industrial example.

关 键 词：控制性能优化 子空间辨识 PID控制器 非参数模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]