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A fuzzy-based spatio-temporal multi-modeling for nonlinear distributed parameter processes

机译:非线性分布参数过程的基于模糊的时空多模型

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摘要

Many industrial processes belong to nonlinear distributed parameter systems (DPS) with significant spatio-temporal dynamics. They often work at multiple operating points due to different production and working conditions. To obtain a global model, the direct modeling and experiments in a large operating range are often very difficult. Motivated by the multi-modeling, a fuzzy-based spatio-temporal multi-modeling approach is proposed for nonlinear DPS. To obtain a reasonable operating space division, a priori information and the fuzzy clustering are used to decompose the operating space from coarse scale to fine scale gradually. To reduce the dimension in the local spatio-temporal modeling, the Karhunen-Loeve method is used for the space/time separation. Both multi-modeling and space/time separation can reduce the modeling complexity. Finally, to get a smooth global model, a three-domain (3D) fuzzy integration method is proposed. Using the proposed method, the model accuracy will be improved and the experiments become easier. The effectiveness is verified by simulations.
机译:许多工业过程属于非线性分布参数系统(DPS),具有很大的时空动态。由于生产和工作条件不同,它们经常在多个工作点工作。为了获得整体模型,在较大的工作范围内进行直接建模和实验通常非常困难。在多重建模的推动下,提出了一种基于模糊的时空多重建模方法,用于非线性DPS。为了获得合理的工作空间划分,先验信息和模糊聚类被用来将工作空间从粗尺度逐步分解为细尺度。为了减小局部时空建模的维数,将Karhunen-Loeve方法用于时空分离。多重建模和时空分离都可以降低建模的复杂性。最后,为了获得平滑的全局模型,提出了一种三域(3D)模糊积分方法。使用提出的方法,将提高模型的准确性,并使实验变得更加容易。通过仿真验证了有效性。

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