Recursive Identification for Hammerstein Systems with State-space Model
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 Hamm...
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| Published in | Zi dong hua xue bao Vol. 36; no. 10; pp. 1460 - 1467 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
2010
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| ISSN | 1874-1029 1874-1029 |
| DOI | 10.1016/S1874-1029(09)60060-4 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | FANG, Hai-Tao CHEN, Xi |
| Author_xml | – sequence: 1 givenname: Xi surname: CHEN fullname: CHEN, Xi email: chenxi@amss.ac.cn organization: Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R. China – sequence: 2 givenname: Hai-Tao surname: FANG fullname: FANG, Hai-Tao email: htfang@iss.ac.cn organization: Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R. China |
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| Cites_doi | 10.1109/TAC.2004.835358 10.1016/j.automatica.2007.03.006 10.1016/j.automatica.2005.06.006 10.1137/0330046 10.1016/0005-1098(95)00107-5 10.1016/j.automatica.2005.03.026 10.1109/TAC.2009.2036380 10.1109/MCS.2007.904649 10.1016/0304-4149(87)90039-1 10.1049/iet-cta.2008.0339 10.1007/BF00341929 10.1016/j.automatica.2007.02.027 10.1109/TAC.2005.856658 10.1016/0165-1684(96)00056-4 10.1016/j.automatica.2004.10.015 10.1016/S0005-1098(00)00103-5 |
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| Copyright | 2010 The Chinese Association of Automation and The Institute of Automation, Chinese Academy of Sciences |
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| Keywords | Subspace method Hammerstein system multi-input multioutput (MIMO) stochastic approximation recursive method principal component analysis (PCA) |
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| Title | Recursive Identification for Hammerstein Systems with State-space Model |
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