摘要
针对普通预测函数控制中选取的基函数为全局函数,对参考轨迹的逼近不能根据不同精度要求进行灵活设置,影响了系统整体优化性能.提出一种基于小波函数的预测函数控制方法.该方法采用小波函数作为基函数,利用小波函数的多尺度分析和紧支局部特性,在预测时域内灵活设置小波基函数的个数及位置分布,在保证整体性能的同时又兼顾了拟合点的逼近要求.同时对小波基函数的不同分布情况进行了仿真比较.仿真结果表明该方法在响应速度、控制精度、抗干扰等方面比普通PFC方法具有明显的改善作用.
In general predictive functional control, the basis function chosen is a global function and, there fore. the reference trajectory approximation can＇t be flexibly set according to different accuracy require ments, thus affecting the performance of the overall system optimization. This paper puts forward a pre dictive functional control algorithm based on wavelet function. Making use of multi-scale analysis of wavelet function and its characteristics of being compactly supported, this method takes wavelet function as the basis function, flexibly setting wavelet basis function of the number and position distribution within fore oasis so as to ensure the overall performance as well as the fitting point approximation requirements. In a simulation experiment, the different distributions of the wavelet basis functions were compared, and the resuhs showed that the method proposed in this paper was markedly superior to the ordinary PFC mdhod in the respects of response speed, control precision and anti-interference.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期136-142,共7页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金重点项目(60835001)
关键词
预测控制
预测函数控制
基函数
小波基函数
predictive control
predictive functional control
basis function
wavelet basis function
