Calculando la matriz de observabilidad extendida en el algoritmo PO-MOESP: un punto de vista alternativo (Computing the extended observability matrix in the PO-MOESP algorithm: an alternative point of view)

Raúl Nava Cabrera (rnava@cenidet.edu.mx)1, Víctor Manuel Alvarado Martínez (alvarado@cenidet.edu.mx)1, Manuel Adam Medina (adam@cenidet.edu.mx)1


1Centro Nacional de Investigación y Desarrollo Tecnológico

This paper appears in: Revista IEEE América Latina

Publication Date: Jan. 2016
Volume: 14,   Issue: 1 
ISSN: 1548-0992


Abstract:
The PO-MOESP algorithm is a subspace identification method that employs the extended observability matrix for building state space models. In this algorithm, the matrix Oe is computed from an orthogonal projection onto the null space of input data. However, in order to achieve a consistent estimation of Oe is necessary to employ a special matrix called instrumental variable. In this paper, we propose a different operation scheme of the PO-MOESP based on the calculation of an alternative null space of input data. This approach is conceptually simpler and avoids the explicit use of the instrumental variable matrix for computing Oe.

Index Terms:
Subspace identification, PO-MOESP algorithm, extended observability matrix   


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