一种基于向量图分析的迭代学习控制算法  

An Algorithm of Iterative Learning Control Based on Vector Plots Analysis

作　　者：刘长良[1] 李菲菲[2] 贾万根[2] 

机构地区：[1]华北电力大学新能源电力系统国家重点实验室,北京102206 [2]华北电力大学控制与计算机工程学院,河北保定071003

出　　处：《电力科学与工程》2013年第6期47-51,56,共6页Electric Power Science and Engineering

基　　金：国家自然科学基金资助项目(61203107)

摘　　要：基于向量图分析的思路,对迭代学习控制算法进行了研究。在前人分析的基础上,针对输出可测量的控制系统,提出了一种带角度修正的迭代学习控制算法。该算法利用同一三角形中角度和边长对应关系的原理,将相邻两次误差的大小关系转化为对应角度的大小关系,以此来判断控制量调整的方向,并用二者角度差二分之一的正弦对修正项进行"奖-惩",不断调整系统输入,使得系统输出能加快收敛到期望轨迹,通过数值仿真,证明了该算法的有效性和优越性。Based on vector plots analysis, the algorithm of iterative learning control is discussed in this paper. For the measurable-system outputs, an algorithm of iterative learning control is proposed on the basis of the analysis in the previous. It uses the geometric principle, that angle and side length of corresponding relationship in the same triangle, and transforms output error relationship into the relationship of the angel, to reward or penalize the learn- ing law. By this means, the system output converges to the desired trajectory. Some numerical simulations are giv- en to show its efficiency and superiority.

关 键 词：迭代学习控制 向量图分析 角度修正 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]