论文标题

周期性/上周期状态的分离和估计

Separation and Estimation of Periodic/Aperiodic State

论文作者

Muramatsu, Hisayoshi

论文摘要

周期性和周期性可以同时存在,并且通常在动态变化的状态下成为准周期性和准周期性。周期性/上静脉状态中存在的准周期性和准paperiodic状态主要对应于不同的现象,需要不同的对照。为了对这些状态进行分离,本文定义了周期性/大道,准周期性和准疗法状态,以构建一个周期性/周期性分离过滤器,该滤波器将周期性/周期性状态分隔到准周期性和准疗法状态。基于这些定义,证明了周期性通行和上的通用函数的线性性以及准周期和准paperiodic态函数的正交性。随后,由周期性通道和Aperiodic-Pass过滤器组成的周期性/大道分离过滤器,这些滤波器的周期性通信和Aperiodic-Pass函数被设计并与Kalman滤波器进行了整合,以估算Quasi-Periodic和Quasi-paperiodic状态。

Periodicity and aperiodicity can exist in a state simultaneously and typically become quasi-periodicity and quasi-aperiodicity in a dynamically changing state. The quasi-periodic and quasi-aperiodic states existing in the periodic/aperiodic state mostly correspond to different phenomena and require different controls. For separation control of these states, this paper defines the periodic/aperiodic, quasi-periodic, and quasi-aperiodic states to construct a periodic/aperiodic separation filter that separates the periodic/aperiodic state into the quasi-periodic and quasi-aperiodic states. Based on these definitions, the linearity of periodic-pass and aperiodic-pass functions and the orthogonality of quasi-periodic and quasi-aperiodic state functions are proved. Subsequently, the periodic/aperiodic separation filter composed of periodic-pass and aperiodic-pass filters that realize the periodic-pass and aperiodic-pass functions is designed and integrated with a Kalman filter for estimation of the quasi-periodic and quasi-aperiodic states.

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