An approach to recursive subspace identification

In this paper, an approach to recursive subspace identification based on the coordinate-free framework of subspace identification is proposed. Herein, the predictor space serves as a natural basis for the formulation of a recursive approach. Compressing the necessary past information, the predictor space of a previous identification will be used for subsequent identifications. Implementational difficulties, which all recursive methods are faced with and hampering an accurate tracking of fast changes of the system, are also addressed.

[1]  Tohru Katayama,et al.  Subspace Methods for System Identification , 2005 .

[2]  Michel Verhaegen,et al.  Subspace identification of multivariable linear parameter-varying systems , 2002, Autom..

[3]  Michel Verhaegen,et al.  Subspace identification of Bilinear and LPV systems for open- and closed-loop data , 2009, Autom..

[4]  G. Rota Stationary random processes associated with point processes , 1985 .

[5]  Bart De Moor,et al.  Subspace Identification for Linear Systems: Theory ― Implementation ― Applications , 2011 .

[6]  G. Picci,et al.  Linear Stochastic Systems: A Geometric Approach to Modeling, Estimation and Identification , 2016 .

[7]  Giorgio Picci,et al.  Stochastic realization with exogenous inputs and 'subspace-methods' identification , 1996, Signal Process..

[8]  Akira Ohsumi,et al.  RECURSIVE 4 SID-BASED IDENTIFICATION ALGORITHM WITH FIXED INPUT-OUTPUT DATA SIZE , 2005 .

[9]  Nelson L. C. Chui,et al.  Criteria for informative experiments with subspace identification , 2005 .

[10]  A. Chiuso,et al.  Geometry of Oblique Splitting, Minimality and Hankel Operators , 2003 .

[11]  J. Doob Stochastic processes , 1953 .

[12]  Stéphane Lecoeuche,et al.  Propagator-based methods for recursive subspace model identification , 2008, Signal Process..

[13]  Giorgio Picci,et al.  GEOMETRIC METHODS FOR STATE SPACE IDENTIFICATION , 2005 .

[14]  Giorgio Picci,et al.  Realization of stochastic systems with exogenous inputs and subspace identification methods , 1999, Autom..

[15]  Hidenori Kimura,et al.  Recursive 4SID algorithms using gradient type subspace tracking , 2002, Autom..

[16]  Michel Verhaegen,et al.  Recursive subspace identification of linear and non-linear Wiener state-space models , 2000, Autom..