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首页> 外文期刊>Mechanical systems and signal processing >Retrieving highly structured models starting from black-box nonlinear state-space models using polynomial decoupling
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Retrieving highly structured models starting from black-box nonlinear state-space models using polynomial decoupling

机译：从使用多项式去耦的黑匣子非线性状态空间模型开始检索高度结构化模型

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摘要

Nonlinear state-space modelling is a very powerful black-box modelling approach. However powerful, the resulting models tend to be complex, described by a large number of parameters. In many cases interpretability is preferred over complexity, making too complex models unfit or undesired. In this work, the complexity of such models is reduced by retrieving a more structured, parsimonious model from the data, without exploiting physical knowledge. Essential to the method is a translation of all multivariate nonlinear functions, typically found in nonlinear state-space models, into sets of univariate nonlinear functions. The latter is computed from a tensor decomposition. It is shown that typically an excess of degrees of freedom are used in the description of the nonlinear system whereas reduced representations can be found. The method yields highly structured state-space models where the nonlinearity is contained in as little as a single univariate function, with limited loss of performance. Results are illustrated on simulations and experiments for: the forced Duffing oscillator, the forced Van der Pol oscillator, a Bouc-Wen hysteretic system, and a Li-Ion battery model.
机译：非线性状态空间建模是一种非常强大的黑匣子建模方法。然而，强大的，由此产生的模型往往是复杂的，由大量参数描述。在许多情况下，在复杂性方面，可解释性是优选的，制造太复杂的模型不适合或不期望。在这项工作中，通过从数据中检索更具结构化的解析模型，而不会利用物理知识，减少了这种模型的复杂性。该方法是必不可少的，通常在非线性状态空间模型中发现的所有多变量非线性函数的翻译成单变量非线性函数。后者从张量分解计算。结果表明，通常在非线性系统的描述中使用过量的自由度，而可以找到减少的表示。该方法产生高度结构化的状态空间模型，其中非线性包含在单个单变量功能中，性能损失有限。结果显示在模拟和实验中：强制损耗振荡器，强制van der Pol振荡器，BOUC-WEN滞后系统和锂离子电池模型。

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  • 来源
    《Mechanical systems and signal processing》 |2021年第1期|106966.1-106966.23|共23页
  • 作者

    J. Decuyper; K. Tiels; M.C. Runacres; J. Schoukens;

  • 作者单位

    Vrije Universiteit Brussel (VUB) Department of Engineering Technology (INDI) Pleinlaan 2 1050 Brussels Belgium Vrije Universiteit Brussel (VUB) Thermo and Fluid Dynamics (FLOW) Pleinlaan 2 1050 Brussels Belgium;

    Uppsala University (UU) Department of Information Technology PO Box 337 SE-75105 Uppsala Sweden;

    Vrije Universiteit Brussel (VUB) Department of Engineering Technology (INDI) Pleinlaan 2 1050 Brussels Belgium Vrije Universiteit Brussel (VUB) Thermo and Fluid Dynamics (FLOW) Pleinlaan 2 1050 Brussels Belgium;

    Vrije Universiteit Brussel (VUB) Department of Engineering Technology (INDI) Pleinlaan 2 1050 Brussels Belgium Eindhoven University of Technology (TU/e) Department of Electrical Engineering Eindhoven The Netherlands;

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  • 正文语种 eng
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  • 关键词

    Nonlinear system identification; Black-box modelling; Model reduction; Multivariate polynomial decoupling;

    机译：非线性系统识别;黑匣子建模;模型减少;多变量多项式去耦;

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