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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采样和延迟输出测量的问题。提出了一种新颖的观察者设计所谓的分段估计器观察者（PEO），以重建连续的系统状态而不延迟。 PEO由当前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进一步简单的分析和设计，以及对系统参数变化的保守较少。它也认为观察者设计中的采样周期。此外，在每个采样瞬间，可以重新初始化分段连续混合系统的初始条件，这防止了观察累积误差并实现了准确的结果。此外，基于线性矩阵不等式执行观察者的综合稳定性分析。此外，通过数值示例使用延迟的Luenberger观察者和卡尔曼滤波器观察者评估分段估计器观察者的性能，并提出了模拟结果。

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