Identification Scheme for Fractional Hammerstein Models With the Delayed Haar Wavelet

doi:10.1109/JAS.2020.1003093

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	Identification Scheme for Fractional Hammerstein Models With the Delayed Haar Wavelet
	Kajal Kothari; Utkal Mehta; Vineet Prasad; Jito Vanualailai
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2020
卷号	7 期号:3 页码:882-891
摘要	The parameter identification of a nonlinear Hammerstein-type process is likely to be complex and challenging due to the existence of significant nonlinearity at the input side. In this paper, a new parameter identification strategy for a block-oriented Hammerstein process is proposed using the Haar wavelet operational matrix (HWOM). To determine all the parameters in the Hammerstein model, a special input excitation is utilized to separate the identification problem of the linear subsystem from the complete nonlinear process. During the first test period, a simple step response data is utilized to estimate the linear subsystem dynamics. Then, the overall system response to sinusoidal input is used to estimate nonlinearity in the process. A single-pole fractional order transfer function with time delay is used to model the linear subsystem. In order to reduce the mathematical complexity resulting from the fractional derivatives of signals, a HWOM based algebraic approach is developed. The proposed method is proven to be simple and robust in the presence of measurement noises. The numerical study illustrates the efficiency of the proposed modeling technique through four different nonlinear processes and results are compared with existing methods.
关键词	Fractional-order Haar wavelet Hammerstein model nonlinear process operational matrix time delay
DOI	10.1109/JAS.2020.1003093
引用统计	被引频次：22[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42996
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Kajal Kothari,Utkal Mehta,Vineet Prasad,et al. Identification Scheme for Fractional Hammerstein Models With the Delayed Haar Wavelet[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(3):882-891.
APA	Kajal Kothari,Utkal Mehta,Vineet Prasad,&Jito Vanualailai.(2020).Identification Scheme for Fractional Hammerstein Models With the Delayed Haar Wavelet.IEEE/CAA Journal of Automatica Sinica,7(3),882-891.
MLA	Kajal Kothari,et al."Identification Scheme for Fractional Hammerstein Models With the Delayed Haar Wavelet".IEEE/CAA Journal of Automatica Sinica 7.3(2020):882-891.

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