Detectability conditions for output-only subspace identification

Amirali Sadeqi, Shapour Moradi and Kourosh Heidari Shirazi

Mathematical and Computer Modelling of Dynamical Systems, 2020, vol. 26, issue 1, 55-79

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.

Date: 2020
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DOI: 10.1080/13873954.2019.1701038

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