Stochastic subspace identification guaranteeing stability and minimum phase
Authors: | Tanaka Hideyuki, Kyoto University, Japan Katayama Tohru, Kyoto University, Japan |
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Topic: | 1.1 Modelling, Identification & Signal Processing |
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Session: | Subspace Methods |
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Keywords: | Subspace identification, Stochastic realization,Canonical Correlation Analysis, Balanced realization, LQ decomposition, Spectral factorization technique |
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Abstract
This paper presents a stochastic subspace identification algorithm to compute stable, minimum phase modesl for a stationary time-series data. The algorithm is based on spectral factorization techniques and a stochastic subspace identification method via a block LQ decomposition (Tanaka and Katayama 2003). Two Riccati equations are solved to ensure both stability and minimum phase property of resulting Markov models.