Modeling uncertainty of large flexible structures with unknown modal parameters
Modeling uncertainty of large flexible structures with unknown modal parameters
复制标题
模态参数未知的大型柔性结构的不确定性建模
DOI：
10.1109/cdc.2000.912298
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
K. Wada
中科院分区：
文献类型：
--
作者：
J. Imai;K. Wada
针对大型柔性结构，提出了一种面向控制的不确定性建模方法。对于已知有限个未知模态参数的上、下界的情况，提出了模态截断标称模型误差的量化方法。首先引入满足条件的系统的可行集，然后在频域中建立覆盖可行集的误差界。对于任何用户指定的频率，使用线性规划可以很容易地检查边界。通过一个理想柔性梁算例的数值研究，说明了该方法的可行性。
A procedure for control-oriented modeling of uncertainty is proposed for large flexible structures. Techniques on quantification of errors in modal truncated nominal models are developed for the case where a finite number of upper and lower bounds of the unknown modal parameters are given. A feasible set of systems matching the conditions is introduced, and then error bounds covering the feasible set are established in the frequency domain. The bounds are easily checked using linear programming for any user-specified frequency. The feasibility of the proposed scheme is illustrated by numerical study on an ideal flexible beam example.