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Robust Observer Design for Multi-Output Systems Using Eigenstructure Assignment

고유구조 지정을 이용한 다중출력 시스템의 강인한 관측기 설계

  • 허건수 (한양대학교 기계공학부) ;
  • 남준철 (한양대학교 정밀기계공학과 대학원)
  • Published : 2004.11.01

Abstract

This paper proposes a design methodology for the robust observer using the eigenstructure assignment in multi-output systems so that the observer is less sensitive to the ill-conditioning factors such as unknown initial estimation error, modeling error and measurement bias in transient and steady-state observer performance. The robustness of the observer can be achieved by selecting the desired eigenvector matrix to have a small condition number that guarantees the small upper bound of the estimation error. So the left singular vectors of the unitary matrix spanned by space of the achievable eigenvectors are selected as a desired eigenvectors. Also, this paper proposes how to select the desired eigenvector based on the measure of observability and designs the observer with small gain. An example of a spindle drive system is simulated to validate the robustness to the ill-conditioning factors in the observer performance.

Keywords

Robust Observer;Condition Number;Eigenstructure;Sylvester Equation;Measure of observability

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