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On the estimation of continuous time transfer functions

机译:关于连续时间传递函数的估计

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This paper proposes a state variable filter approach to continuous time system identification. Two topics are studied in the paper. The first topic is related to the choice of state variable filters. The strategy we adopt is to adjust the time constants of the state variable filters so that a prediction error criterion is minimized. As a result, the estimated model reaches a balance between bias and variances shown by a simulation example. The second topic is related to the choice of model structure. We extend a multiple model estimation algorithm, developed using UD factorization, to continuous time sysem identification. The estimation algorithm generates a set of candidate models, among which the 'best' model structure is found. A simulation example is used to demonstrate the efficacy of the proposed procedure, and an industrial case study on a food cooking extrusion process is given to illustrate the applicability of the algorithm. [References: 27]
机译:本文提出了一种用于连续时间系统识别的状态变量滤波方法。本文研究了两个主题。第一个主题与状态变量过滤器的选择有关。我们采用的策略是调整状态变量滤波器的时间常数,以使预测误差标准最小。结果,估计的模型达到了偏差和方差之间的平衡,如仿真示例所示。第二个主题与模型结构的选择有关。我们将使用UD分解开发的多模型估计算法扩展到连续时间系统识别。估计算法生成一组候选模型,其中找到“最佳”模型结构。通过仿真实例验证了所提方法的有效性,并通过工业案例研究了食品蒸煮挤压工艺,以说明该算法的适用性。 [参考:27]

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