基于对偶观测器的谐波提取方法研究
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1.太原科技大学;2.尼得科电机(青岛)有限公司

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TP13

基金项目:

山西省自然科学基金(201801D121132);山西省研究生创新项目(2020SY424)


Research on Harmonic extraction Method based on dual Observer
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Taiyuan University of Science and Technology

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    摘要:

    本文提出了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到标准正弦信号驱动的待估项.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,直接建立频率和干扰谐波之间关系,实现标准信号和干扰谐波的分离.由于只需要估计受标准正弦信号驱动的未知参数,很大程度上降低了计算复杂度.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.仿真验证了该对偶观测结构的有效性.

    Abstract:

    In this paper, a sinusoidal extraction method based on dual observer is proposed. Passing the disturbed harmonic through an special auxiliary filter, measurable variables related to the harmonic frequency can be obtained. Then decompose the unexpected signal 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 need 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 demonstrate the validity of the proposed dual observation structure.

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历史
  • 收稿日期:2020-11-03
  • 最后修改日期:2021-02-28
  • 录用日期:2021-03-03
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