Models of complex systems often consist of multiple interconnected subsystem/component models that are developed by multi-disciplinary teams of engineers or scientists. To ensure that such interconnected models can be applied for the purpose of simulation and/or control, a reduced-order model for the interconnected dynamics is needed. In the scope of this paper, we pursue this goal by subsystem reduction to warrant modularity of the reduction approach. Clearly, by reducing the complexity of the subsystem models, not only the accuracy of the subsystem models is affected, but, consequently, also the accuracy of the interconnected model. It is typically difficult to predict a priori how the interconnected model accuracy is affected precisely by the subsystem reduction. In this work, we address this challenge by introducing a top-down approach which enables the translation of given accuracy requirements of the interconnected system model to accuracy requirements at subsystem model level, by using mathematical tools from robust performance analysis. This allows for the independent reduction of subsystem models while guaranteeing the desired accuracy of the interconnected model. In addition, we show how this top-down approach can be used to significantly reduce the interconnected model in an illustrative structural dynamics case study.

中文翻译：

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互连系统的模块化模型简化：自上而下的方法

复杂系统的模型通常由多个互连的子系统/组件模型组成，这些模型由多学科工程师或科学家团队开发。为确保此类互连模型可用于仿真和/或控制目的，需要互连动力学的降阶模型。在本文的范围内，我们通过子系统缩减来实现这一目标，以保证缩减方法的模块化。显然，通过降低子系统模型的复杂性，不仅会影响子系统模型的准确性，还会影响互连模型的准确性。通常很难先验地预测互连模型精度如何受到子系统缩减的精确影响。在这项工作中，我们通过引入自上而下的方法来应对这一挑战，该方法通过使用来自稳健性能分析的数学工具，能够将互连系统模型的给定精度要求转换为子系统模型级别的精度要求。这允许独立减少子系统模型，同时保证互连模型的所需精度。此外，我们在说明性结构动力学案例研究中展示了如何使用这种自上而下的方法来显着减少相互关联的模型。这允许独立减少子系统模型，同时保证互连模型的所需精度。此外，我们在说明性结构动力学案例研究中展示了如何使用这种自上而下的方法来显着减少相互关联的模型。这允许独立减少子系统模型，同时保证互连模型的所需精度。此外，我们在说明性结构动力学案例研究中展示了如何使用这种自上而下的方法来显着减少相互关联的模型。