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首页> 外文会议>2002 ASME International Mechanical Engineering Congress and Exposition , Nov 17-22, 2002, New Orleans, Louisiana >Modeling in the Physical Domain: An Optimization-Based Approach
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Modeling in the Physical Domain: An Optimization-Based Approach

机译：物理领域中的建模：基于优化的方法

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摘要

With the increasing complexity of dynamic systems, model reduction has become an attractive research topic. A very useful type of reduced models is obtained by removing as many physical components as possible from the original model, known as model reduction in the physical domain. Many results have been achieved in this area during past decades. Nonetheless, the newest developments in engineering practice as well as in theoretical research have brought about further challenges and opportunities. This paper expands the scope of model reduction in physical domain, and proposes a criterion based on the H_∞ norm of certain error model is proposed. The model reduction problem is then formulated as an optimization problem with bilinear matrix inequality (BMI) constraints, which can be solved with various processes. Several examples are presented to illustrate the use of the proposed model reduction scheme.
机译：随着动态系统复杂性的提高，模型简化已成为一个有吸引力的研究课题。通过从原始模型中删除尽可能多的物理组件，可以获得一种非常有用的简化模型类型，称为物理领域中的模型简化。在过去的几十年中，该领域已取得许多成果。尽管如此，工程实践和理论研究的最新发展带来了更多的挑战和机遇。本文扩大了物理域模型约简的范围，并提出了基于某种误差模型的H_∞范数的准则。然后将模型简化问题表述为具有双线性矩阵不等式（BMI）约束的优化问题，可以通过各种过程来解决。给出了几个例子来说明所提出的模型简化方案的使用。

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