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Synthesis and Control of Flexible Systems with Component-Level Uncertainties

机译:具有组件级不确定性的柔性系统的综合与控制

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摘要

An efficient and computationally robust method for synthesis of component dynamics is developed. The method defines the interface forces/moments as feasible vectors in transformed coordinates to ensure that connectivity requirements of the combined structure are met. The synthesized system is then defined in a transformed set of feasible coordinates. The simplicity of form is exploited to effectively deal with modeling parametric and non-parametric uncertainties at the substructure level. Uncertainty models of reasonable size and complexity are synthesized for the combined structure from those in the substructure models. In particular, we address frequency and damping uncertainties at the component level. The approach first considers the robustness of synthesized flexible systems. It is then extended to deal with non-synthesized dynamic models with component-level uncertainties by projecting uncertainties to the system level. A numerical example is given to demonstrate the feasibility of the proposed approach.
机译:开发了一种高效且计算稳定的方法来合成零部件动力学。该方法将界面力/矩定义为变换坐标中的可行向量,以确保满足组合结构的连通性要求。然后,将合成系统定义为一组可行的坐标坐标。利用形式的简单性可以有效地处理在子结构级别对参数和非参数不确定性建模的问题。从子结构模型中为那些组合结构综合了合理大小和复杂性的不确定性模型。特别是,我们在组件级别解决了频率和阻尼不确定性问题。该方法首先考虑了合成柔性系统的鲁棒性。然后,通过将不确定性投影到系统级别,将其扩展为处理具有组件级别不确定性的非综合动态模型。数值例子说明了该方法的可行性。

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