Dynamic Modeling for a Non-Linear System Based on the MOESP Algorithm

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In order to measure accurately air fuel ratio in the engine exhaust gas, the Hammerstein model of the exhaust gas oxygen (EGO) sensor was identified using the multivariable output error state space (MOESP) algorithm. Firstly, a static model of the EGO sensor was identified based on engine experiment data as a static nonlinear part of the Hammerstein model. Then, the MOESP algorithm was used to build a state space model (SSM) of dynamic linear part of the Hammerstein model. To estimate model order, the Akaike Information Criterion (AIC) and the Minimum Description Length (MDL) criterion were computed, and validity of structure identification was verified by residual analysis. Then, the auto-regressive model with exogenous input (ARX) was compared with a subspace model. The result shows that a two-order SSM using MOESP algorithm is suitable to dynamic part of the Hammerstein model for EGO sensors.

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467-472

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April 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. Verhaegen and D. Westwick: Identifying MIMO Hammerstein systems in the context of subspace model identification methods, Internal. J. Control, Vol. 63(1996), pp.331-349.

DOI: 10.1080/00207179608921846

Google Scholar

[2] D. Westwick and M. Verhaegen: Identification MIMO Wiener systems using subspace model identification methods, Signal Processing, Vol. 52(1996), p.235–258.

DOI: 10.1016/0165-1684(96)00056-4

Google Scholar

[3] M. Verhaegen and P. Dewilde: Subspace model Identification, Part 1: The output-error state-space model identification class of algorithms, Internal. J. Control, Vol. 56(1992), pp.1187-1210.

DOI: 10.1080/00207179208934363

Google Scholar

[4] M. Verhaegen and P. Dewilde, Subspace model Identification, Part 2, J. Control, Vol. 56(1992), pp.1211-1241.

Google Scholar

[5] M. Verhaegen: Identification of the deterministic part of MIMO state space models given in innovation form from input-output data, Automatica, Vol. 30(1994), pp.61-74.

DOI: 10.1016/0005-1098(94)90229-1

Google Scholar

[6] Tohru Katayama, Giorgio Picci: Realization of stochastic systems with exogenous inputs and subspace identification methods, Automatica, Vol. 35(1999), pp.1635-1652.

DOI: 10.1016/s0005-1098(99)00072-2

Google Scholar

[7] P. Van Overschee, B. De Moor: Subspace algorithms for the stochastic identification problem, Automatica, Vol. 29(1993), pp.649-660.

DOI: 10.1016/0005-1098(93)90061-w

Google Scholar

[8] P. Van Overschee, B. De Moor: N4SID: Subspace algorithms for the identification of combined deterministic stochastic systems, Automatica, Vol. 30(1994), pp.75-93.

DOI: 10.1016/0005-1098(94)90230-5

Google Scholar

[9] T. Bastogne, H. Noura, P. Sibille, A. Pichard: Multivariable identification of a winding process by subspace methods of tension control, Control Engineering Practice, Vol. 6(1998), pp.1077-1088.

DOI: 10.1016/s0967-0661(98)00069-0

Google Scholar

[10] Hirotugu Akaike: A new look at the statistical model identification, IEEE Transaction on Automatic Control, Vol. 19(1974), pp.716-723.

DOI: 10.1109/tac.1974.1100705

Google Scholar

[11] A. Barron, J. Rissanen, Bin Yu: The minimum description length principle in coding and modeling, IEEE Transactions on Information Theory, Vol. 44(1998), pp.2743-2746.

DOI: 10.1109/18.720554

Google Scholar