A New Method for Making a Reduced-Order Model of Flexible Structures using Unobservability and Uncontrollability and Its Application in Vibration Control
A New Method for Making a Reduced-Order Model of Flexible Structures using Unobservability and Uncontrollability and Its Application in Vibration Control
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利用不可观不可控性建立柔性结构降阶模型的新方法及其在振动控制中的应用
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
Shinji Mitsuta
中科院分区：
文献类型：
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作者：
K. Seto;Shinji Mitsuta
本文提出了一种将分布参数柔性结构建模为集中参数降阶模型的新方法。同时考虑了模型点的物理对应性和防止溢出。在应用现代控制理论对柔性结构进行振动控制时，由于控制器设计的限制，需要对结构进行降阶建模。当忽略高阶模态时，模型的简化可能导致振动不稳定性溢出。由于不可控性和不可观测性，选择高阶振动模态的节点作为建模点，以防止溢出。通过对柔性塔结构的振动控制，验证了该方法的有效性。
This paper proposes a new method for modeling flexible structures with distributed parameters as reduced-order models with lumped parameters. Both prevention of spillover and physical correspondence at the modeling points are taken into consideration. When modern control theory is employed to control the vibration of flexible structures, because of restrictions on controller design, it is necessary to make a reduced-order model of the structure. When higher modes are ignored, the reduction of the model may result in vibration instability-spillover. Because of uncontrollability and unobservability, nodes of higher-order vibration modes are selected as modeling points to prevent spillover. The effctiveness of this method is demonstrated by applying vibration control to a flexible towerlike structure.