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Multimodel Representation of Complex Nonlinear Systems: A Multifaceted Approach for Real-Time Application

机译:复杂非线性系统的多模型表示:实时应用的多方面方法

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摘要

Presenting an important potential in the representation of nonlinear systems, the multimodel approach remains an attractive axis for research. One of the important problems in the multimodel structure concerns the validity calculation which is a fundamental point especially when the process is corrupted with noise and/or its parameters are of high variations. A new approach based on the use of both two type of validity is proposed. A developed specification of the need of each one is explained by an optimization procedure. The conduct of this approach requires, first, the classification of the numerical data into a set of clusters. The frequency-sensitive competitive learning (FSCL) algorithm is used to select the number of models and the fuzzy k-means algorithm identify the operating clusters. From the satisfactory results in terms of precision and robustness obtained on theoretical examples, we are incited to confirm our contribution to real process reactor. The results obtained are compared to the classical approaches showing its ability to represent adequately the nonlinear process with a superior precision and accuracy and from this the classic strategy of multimodel representation is oriented towards a multifaceted approach.
机译:在非线性系统的代表中呈现重要潜力,多模型方法仍然是用于研究的有吸引力的轴。多模型结构中的一个重要问题涉及尤其是当该过程用噪声损坏而且其参数具有高变化时,这是一个基本点的有效性计算。提出了一种基于两种类型有效性使用的新方法。通过优化过程解释每个需要的表达的规范。该方法的进行首先需要将数值数据分类为一组集群。频率敏感的竞争学习(FSCL)算法用于选择模型的数量,并且模糊k均值算法识别操作群集。从理论例子所获得的精确和稳健性方面,我们旨在证实我们对实际过程反应堆的贡献。将得到的结果与显示其具有优异精度和准确性的非线性过程的经典方法进行比较,并且从该多模型表示的经典策略面向多方面的方法。

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