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Observers for Linear Systems by the Time Integrals and Moving Average of the Output

机译:通过时间积分和输出的移动平均观察者的线性系统

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摘要

In this paper, it is shown that, under some mild assumptions, it is possible to design observers for linear time-invariant continuous-time and discrete-time systems by feeding classical linear observers (e.g., the Kalman filters and the Luenberger observer) with the successive integrals and the moving average of the measured output, respectively. The main interest in these observers relies on the fact that both the integral and the moving average exhibit low-pass behaviors, thus allowing the design of observers that are less sensitive to high-frequency noise. Examples are reported all throughout this paper to corroborate the theoretical results and to highlight the improved filtering properties of the proposed observers.
机译:在本文中,示出了,在一些温和的假设下,可以通过馈送经典线性观察者(例如,卡尔曼滤波器和Luenberger Observer)来设计用于线性时间不变的连续时间和离散时间系统的观察者分别连续积分和测量输出的移动平均值。这些观察者的主要兴趣依赖于整体和移动平均值表现出低通行为的事实,从而允许对高频噪声敏感的观察者的设计。在本文中报告了实施例,以证实理论结果,并突出所提出的观察者的改善过滤性能。

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