频域最小二乘辨识方法的参数约束条件选取

Abstract

Abstract:

In recent years, the frequency-domain least squares (LS) identification, because of its less computation and higher identification precision, has received considerable attentions in the field of modal analysis, especially the aircraft flutter modal analysis. In the practical application, the over-fitting method is usually used for system identification to improve identification precision. However, higher model order will introduce extra mathematical poles and lead to spurious mode in stabilization diagram. This seriously effects the identification of true (physical) mode. For this reason, two typical parameter constraints are investigated for multiple-input and multi-output system LS identification. Theoretical analysis and mathematical derivation are given to explain the relation between parameter constraint and stability of mathematical poles. The work of this paper shows that the right constraint choice is helpful to distinguish the true and spurious modes, which is the key to obtain a clear stabilization diagram. Finally, a numerical simulation and real flutter test measurements are used to validate the conclusions drawn from the paper.

Key words: frequency-domain least squares identification, flutter, modal analysis, parameter constraint, stabilization diagram

CLC Number:

V217
TP273

TANG Wei, QIAO Qian, SHI Zhongke. On the Choice of Parameter Constraint for Frequency-domain Least Squares Identification[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(12): 2253-2260.

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On the Choice of Parameter Constraint for Frequency-domain Least Squares Identification

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