一种带控制端的二次校正滤波器  

Secondary self-tuning filter with control terminal

作　　者：李恒 LI Heng(School of Computer and Information Engineering,Fuyang Normal University,236037,Fuyang,Anhui,PRC)

机构地区：[1]阜阳师范大学计算机与信息工程学院,安徽省阜阳市236037

出　　处：《曲阜师范大学学报（自然科学版）》2024年第3期73-80,共8页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(61906044);安徽省高校科研重点项目(2023AH050428,KJ2020A0536);安徽省教研项目(2022jyxm1170);安徽省智能计算与信创应用工程研究中心电子信息高峰培育学科课题(ICII202405).

摘　　要：提出了一种带控制端的二次校正滤波器,可在系统稳定和不稳定情况下实现自校正滤波.对于稳定系统,将其转化为自回归滑动平均(ARMA)模型进行自校正滤波;对于由于参数问题导致的不稳定系统,关键参数可分解为限定范围的游离参数1和固定或缓慢变化的游离参数2之和,即将系统转化为游离参数1作用下的稳定系统和可通过控制端进行二次校正的系统的组合.通过设定控制准则,将状态值和控制端联系起来,利用相关函数法估计控制端的控制系数,并将控制端二次校正值反馈至稳态滤波器(或预报器)中,实现一定范围内较稳定的自校正滤波.通过一个仿真例子验证了该方法的有效性.A kind of secondary self-tuning filter with control terminal is proposed,which can achieve self-tuning filtering under both stable and unstable system conditions.For stable systems,it is transformed into an auto regressive moving average(ARMA)model for self-tuning filtering.For unstable systems caused by parameter issues,the critical parameters can be decomposed into the sum of bounded wandering parameters 1 and fixed or slowly changing wandering parameters 2.That is,the system is transformed into a combination of a stable system under the action of wandering parameter 1 and a system that can be secondarily corrected through the control terminal.By setting control criteria,linking state values and the control side,estimating the control coefficients of the control terminal using the method of correlation function,and feeding back the secondary correction values of the control side to the steady-state filter(or forecaster),a relatively stable self-tuning filtering within a certain range is achieved.The effectiveness of the method is verified through a simulation example.

关 键 词：控制端 二次校正 滤波 自回归滑动平均模型 游离参数 相关函数法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]