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首页> 外文期刊>Arabian Journal for Science and Engineering. Section A, Sciences >New Piecewise Estimator Observer for Continuous Time Linear Systems with Sampled and Delayed Measurements
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New Piecewise Estimator Observer for Continuous Time Linear Systems with Sampled and Delayed Measurements

机译：具有采样和延迟测量的连续时间线性系统的新型分段估计观测器

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摘要

This paper addresses the problem of sampled and delayed output measurements for continuous time linear systems. A novel observer design so-called piecewise estimator observer (PEO) is proposed to reconstruct the continuous system state without time delay. The PEO is composed of the current estimator and the piecewise continuous hybrid system. The main advantage of the proposed technique is further simple analysis and design, as well as less conservative to system parameters variation. Also it considered the sampling period in the observer design. Furthermore, at every sampling instant, the initial condition of the piecewise continuous hybrid system can be re-initialized which prevents the observation accumulation errors and achieves accurate results. In addition, comprehensive stability analysis of the observer is performed based on the linear matrix inequality. Moreover, the performance of the piecewise estimator observer is assessed with the delayed Luenberger observer and Kalman filter observer via a numerical example, and the simulation results are presented.
机译：本文解决了连续时间线性系统的采样和延迟输出测量问题。提出了一种新颖的观测器设计，即所谓的分段估计观测器（PEO），以重建连续系统状态而没有时间延迟。 PEO由电流估计器和分段连续混合系统组成。所提出的技术的主要优点是可以进一步简化分析和设计，并且对系统参数的变化不那么保守。它还考虑了观察者设计中的采样周期。此外，在每个采样时刻，分段连续混合系统的初始条件都可以重新初始化，这可以防止观测累积误差并获得准确的结果。此外，基于线性矩阵不等式对观察者进行了综合稳定性分析。此外，通过一个数值实例，用延迟的Luenberger观测器和Kalman滤波器观测器评估了分段估计观测器的性能，并给出了仿真结果。

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