基于对偶观测器的谐波提取方法  

Harmonic extraction method based on dual observer

作　　者：文新宇[1] 王震 张文康 孙金刚 WEN Xin-yu;WANG Zhen;ZHANG Wen-kang;SUN Jin-gang(Electronic Information Engineering College,Taiyuan University of Science and Technology,Taiyuan 030024,China;Nico Motor(Qingdao)Co.,Ltd,Qingdao 266300,China)

机构地区：[1]太原科技大学电子信息工程学院,太原030024 [2]尼得科电机(青岛)有限公司,山东青岛266300

出　　处：《控制与决策》2022年第7期1847-1852,共6页Control and Decision

基　　金：山西省自然科学基金项目(201801D121132);山西省研究生创新项目(2020SY424);山西省重点研发计划国际科技合作项目(201903D421045).

摘　　要：提出一种基于对偶观测器的标准正弦信号提取方法.将受到谐波干扰的信号通过一种辅助滤波器得到与谐波频率相关的可测变量;然后利用对偶关系将受干扰信号分解为已知函数和受标准正弦信号驱动的待估项;进而构造观测器估计未知参数,直接对标准正弦信号进行重构.该方法可以将谐波信号表示为关于辅助变量的参数形式,直接建立频率与干扰谐波之间关系,实现标准信号与干扰谐波的分离.由于只需要估计受标准正弦信号驱动的未知参数,很大程度上可以降低计算复杂度.利用李雅普诺夫稳定性理论证明:当不存在有界噪声时,这种观测器可以渐近跟踪标准频率信号;在多源干扰环境下,观测器误差动态满足一致最终有界特性.仿真结果验证了该对偶观测结构的有效性.In this paper,a sinusoidal extraction method based on a dual observer is proposed.Passing the disturbed harmonic through an special auxiliary filter,measurable variables related to the harmonic frequency can be obtained.Then the unexpected signal is decomposed into a known function and the required estimation term driven by standard signal.The observer is constructed to estimate the required estimation term,thereby the standard sinusoidal signal can be reconstructed directly.This method can represent the disturbance as a parametric form about auxiliary variable,so as to derive the relationship between frequency and harmonic directly,with which the standard signal and disturbance can be decoupled.Because only the unknown parameter driven by standard sinusoidal signal needs to be estimated,the computational complexity is greatly reduced.According to the Lyapunov stability theory,if the bounded noise is absent,the observer can track the standard signal asymptotically.In the multi-disturbances environment,the uniform ultimately bounded performance of estimation error can be guaranteed by adjusting the parameters.Simulation results demonstrate the effectiveness of the proposed dual observation structure.

关 键 词：辅助滤波器 对偶观测器 正弦信号 谐波提取 多源干扰 渐近稳定 一致最终有界 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]