Recursive Identification for Hammerstein Systems with State-space Model

• Published in: Zi dong hua xue bao Vol. 36; no. 10; pp. 1460 - 1467
• Main Authors: CHEN, Xi, FANG, Hai-Tao
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 2010
• Subjects: Hammerstein system; multi-input multioutput (MIMO); principal component analysis (PCA); recursive method; stochastic approximation; Subspace method; Subspace method; Hammerstein system; multi-input multioutput (MIMO); stochastic approximation; recursive method; principal component analysis (PCA)
• ISSN: 1874-1029; 1874-1029
• DOI: 10.1016/S1874-1029(09)60060-4

In this paper, the subspace methods for multi-input multi-output (MIMO) Hammerstein systems in state-space form are considered, for the reason that relation of input and output in MIMO case is appropriate to indicate in this form. In open-loop case, a subspace identification method is given for Hammerstein systems, in which the nonlinear static function can be represented as a linear combination of finite basis functions, and the recursive version of this method is also given. We show that, in mild conditions, the method given in this paper is consistent in some sense. A numerical example is given to show the performance of this method.