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A novel control architecture for marginally stable dynamically substructured systems

机译：一种新的控制架构，用于略微稳定的动态子结构系统

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摘要

Dynamic substructuring is a popular hybrid testing technique that mixes physical testing with numerical simulations. Research in this domain has mainly focused so far on structures and decomposition strategies that result in asymptotically stable systems. However, several cases fall outside this family, with either the physical or the numerical part being only marginally stable post-decomposition. A typical example of such scenario is when a mass is split between physical and numerical parts. For generic structures with marginally stable subsystems, current techniques often fail to deliver satisfactory performance or require modifications to the original structure. In this paper, analytical results - valid for generic structures - are derived to highlight the potential shortcomings of current techniques and to motivate the proposal for a novel control architecture to enable dynamic substructuring with marginally stable subsystems. By selecting a suitable set of signals for control design and by augmenting the control strategy via a local controller for the marginally stable subsystem, the proposed method allows accurate hybrid testing without relying on the modifications of the original structure that classical approaches require. This technique is suitable for all of the mass split structures, and indeed for all marginally stable structures, which means that the results are applicable to a wide range of hybrid testing problems. A simulated benchmark problem of hybrid testing for vibrating structures is included to demonstrate the effectiveness of the proposed technique.
机译：动态子结构是一种流行的混合测试技术，可以使用数值模拟混合物理测试。该领域的研究主要集中在迄今为止导致渐近稳定系统的结构和分解策略。然而，几个案例落在这个家庭之外，具有物理或数值的分解后的物理或数值略微稳定。这种情况的典型示例是在物理和数字部分之间分离质量。对于具有边缘稳定的子系统的通用结构，目前的技术通常无法提供令人满意的性能或需要修改原始结构。在本文中，推导出用于通用结构的分析结果 - 突出了当前技术的潜在缺点，并激励了一种新的控制架构的提议，以实现具有边缘稳定的子系统的动态子结构。通过选择用于控制设计的合适信号集并通过本地控制器通过本地控制器增强控制策略，该方法允许准确的混合动力测试，而无需依赖于经典方法所需的原始结构的修改。该技术适用于所有质量分裂结构，实际上适用于所有边际稳定的结构，这意味着结果适用于各种混合测试问题。包括振动结构混合测测试的模拟基准问题，以证明所提出的技术的有效性。

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