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Detectability conditions for output-only subspace identification

Author

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  • Amirali Sadeqi
  • Shapour Moradi
  • Kourosh Heidari Shirazi

Abstract

The scope of output-only/blind identification is restricted to stochastic/statistical processes, but for the first time in this study, the detectability conditions for general output-only subspace identification are investigated. This aids the range of input sources to be extended in a much realistic manner, beyond the only stochastic inputs. For this purpose, the subspace framework is assigned to make a connection between the output signal contents and the LTI system order. A few substantial hypotheses and algebraic statements are propounded affirming the sufficiency of the genuine output sequences for the identification purpose. This can be perceived as the cornerstone of state-space model reconstruction. In order to consolidate the notions according to reality, several examples are studied and examined for different input classes with stochastic disturbance.

Suggested Citation

  • Amirali Sadeqi & Shapour Moradi & Kourosh Heidari Shirazi, 2020. "Detectability conditions for output-only subspace identification," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 26(1), pages 55-79, January.
    • Handle: RePEc:taf:nmcmxx:v:26:y:2020:i:1:p:55-79
    DOI: 10.1080/13873954.2019.1701038
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