Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Optimal Selection of Master States for Order Reduction

동적시스템의 차수 줄임을 위한 주상태의 최적선택

  • 오동호 (한국과학기술원, 기계공학과 소음 및 진동제어 연구센터) ;
  • 박영진 (한국과학기술원, 기계공학과 소음 및 진동제어 연구센터)
  • Published : 1994.03.01
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Abstract

We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.

Keywords

References

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