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A novel approach for identification of cascade of Hammerstein model

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Abstract

In this paper, a novel approach is proposed to identify the cascade of Hammerstein model by using Volterra series analytical method. The cascade of Hammerstein model consists of power series associated with linear subsystems. The relationship between the cascade of Hammerstein model and its associated Volterra model is firstly presented in this paper. The basic routine of the identification approach is that, from the system outputs under multilevel excitations, the Volterra series outputs of different order are first estimated by using the wavelet balance method. Then, through each order Volterra outputs and input, the impulse response functions of each order linear subsystems can be estimated, respectively. The simulation studies verify the effectiveness of the proposed identification method for the cascade of Hammerstein model.

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Acknowledgments

The work reported in this paper was supported by the Chinese Natural Science Foundation projects with the reference number of 11472170, 51421092 and 11402144 and the STCSM fund (14140711100) and the Chinese Distinguished Young Scholars project No. 11125209 and the China Postdoctoral Science Foundation project 15005188.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    C. M. Cheng, Z. K. Peng, W. M. Zhang & G. Meng

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  1. C. M. Cheng
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  2. Z. K. Peng
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  3. W. M. Zhang
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  4. G. Meng
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Correspondence to Z. K. Peng.

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Cheng, C.M., Peng, Z.K., Zhang, W.M. et al. A novel approach for identification of cascade of Hammerstein model. Nonlinear Dyn 86, 513–522 (2016). https://doi.org/10.1007/s11071-016-2904-0

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