论文研究-Frequency Domain MIMO Identification for Modeling of Structural Dynamics.pdf

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结构动态的频域多输入多输出辨识,唐炜,,频域辨识方法被广泛的应用于结构动态分析中。然而,由于建模误差、扰动和测量噪声等因素的存在,所辨识的模型常常是不稳定的。为
国武技论文在线 00 O R 1.2 Identification problem A B CD 2 Poles constrained subspace identification 2.1 Subspace identification for extended state-space model AB CD +B c +D B′=B + DU CA+CB′+D =CA +CA-B+CA-B+…+CB+D D=D +z CA CA CB CAB CA B D Y=0ⅹ+FU Z 国武技论文在线 Y=0X +U ∏ R R R2 U 0=U A C A=O C=O AC B′D D B 2.2 Frequency domain subspace identification for system with known poles ABC A= PAP 国武技论文在线 Lemma 3.1 Ab C D C Ac X 1rQ Proof T=X Qv2 CA CA CA C=CT A=T AT C C CA 2C C P PAP AO BD 国武技论文在线 3 Maximum likelihood estimation using EM algorithm for system with known poles 3.1 Background on The em alogorithm 0 6=66-80 6日 6 0≥b 66 3.2E step BC D BC D 00 Lemma 4.1 国武技论文在线 Q R ①-6-6+@I RA-A@A+⊙I⊙ 中=更+AI41-y4-4Y 7=7-A 中 F T /√ ∏= 0=B a ⊙=CD R Q--P+ R41-10-041+00 =ly y ⊙=AB 0 e 国武技论文在线 3. 3 M step Lemma 4.2 Q R -y6-6y-r R A-1+6,I Proof Ql0)=FQ-pve-6平+6r 20 4 Continuous time identification C(+ D=D-C(+AB 5 Numerical example 国武技论文在线 K1 77777777277 thy H2,Js 13 C B+ D 10 requ ency(Hz) 国武技论文在线 Freyuency (Hz) 6 Conclusions References

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