空间互联系统的有限频率范围迭代学习控制  

Iterative learning control in finite frequency range for spatially interconnected systems

作　　者：陶洪峰 魏强[2] 杨慧中 TAO Hong-feng;WEI Qiang;YANG Hui-zhong(Key Laboratory of Advanced Process Control for Light Industry of Ministry of Education,Jiangnan University,Wuxi 214122,China;School of Internet of Things Engineering,Jiangnan University,Wuxi 214122,China)

机构地区：[1]江南大学教育部轻工过程先进控制重点实验室,江苏无锡214122 [2]江南大学物联网工程学院,江苏无锡214122

出　　处：《控制与决策》2020年第7期1765-1772,共8页Control and Decision

基　　金：国家自然科学基金项目(61773181,61203092);高等学校学科创新引智计划项目(B12018);中央高校基本科研业务费专项资金(JUSRP51733B)。

摘　　要：针对一类包含多个节点的空间互联系统,提出一种有限频率范围内的迭代学习控制算法.首先基于提升技术沿空间节点分布方向将重复运行的多维空间互联系统转换为一类二维等效系统,然后设计迭代学习控制律将被控系统转化为线性重复过程,并根据输出期望轨迹跟踪信号的频谱范围,利用Kalman-Yakubovich-Popov(KYP)引理将系统的频域稳定性能分析和控制律设计问题转换成以相应的线性矩阵不等式(LMI)求解问题,同时保证输出跟踪误差在时域和频域范围内的单调收敛性.最后以有源梯形电路的控制仿真验证所提算法的有效性.For a class of spatially interconnected systems with multiple nodes,an iterative learning control algorithm in specified finite frequency range is proposed.Firstly,the repetitively running multi-dimensional spatially interconnected system is transformed into a class of two-dimensional equivalent system along the spatial node distribution direction based on lifting technique.Then the iterative learning control law is designed to transform the controlled system into a linear repetitive process,and according to the spectral range of the desired output trajectory,the Kalman–Yakubovich–Popov(KYP)lemma is used to transform the system’s frequency domain stability analysis and control law design problems into corresponding linear matrix inequalities(LMI),while ensuring the monotonic convergence of the output tracking error in the time domain and frequency domain.Finally,the effectiveness of the proposed algorithm is verified by the control simulation of active ladder circuit.

关 键 词：迭代学习控制 梯形电路 空间互联系统 有限频率范围 KYP引理 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]