A novel approach for identification of cascade of Hammerstein model

• Published in: Nonlinear dynamics Vol. 86; no. 1; pp. 513 - 522
• Main Authors: Cheng, C. M., Peng, Z. K., Zhang, W. M., Meng, G.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-10-2016; Springer Nature B.V
• Subjects: Automotive Engineering; Cascades; Classical Mechanics; Computer simulation; Control; Dynamical Systems; Economic models; Engineering; Identification methods; Impulse response; Linear systems; Mathematical analysis; Mathematical models; Mechanical Engineering; Multilevel; Original Paper; Power series; Response functions; Vibration; Wavelet analysis; Volterra series; Cascade of Hammerstein model; Wavelet balance method; Nonlinear system
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-016-2904-0

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.