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Author:

Zhang, Jialiang (Zhang, Jialiang.) | Cao, Jianfu (Cao, Jianfu.)

Indexed by:

SCIE EI Scopus

Abstract:

In this paper, a multi-order spectra estimation method is proposed for a nonlinear closed-loop system based on the Volterra series. Owing to the correlation between the noise and the input, the estimation accuracy is poor when the nonlinear spectra of the plant is obtained using the traditional estimation method. In order to overcome this problem, a two-step scheme is used to estimate the multi-order spectrum of a nonlinear system operating in closed-loop. Firstly, the generalized frequency response functions (GFRFs) from the reference signal to the input of the plant are estimated, and they are used to simulate the noise-free input spectra of the plant. Secondly, the GFRFs of the controlled plant are estimated using the noise-free input spectra and the output spectra. Because the GFRFs are multidimensional functions, the required amount of calculation for the estimation is very large. To reduce computational complexity, a simplified GFRF model is adopted to estimate the multi-order nonlinear spectrum of the plant. In this model, the GFRF is transformed to a one-dimensional function. Two simulation experiments are provided to illustrate the proposed approach.

Keyword:

Closed-loop estimation generalized frequency response function nonlinear system Volterra series

Author Community:

  • [ 1 ] [Zhang, Jialiang] Xian Technol Univ, Sch Elect Informat Engn, Xian 710021, Shaanxi, Peoples R China
  • [ 2 ] [Zhang, Jialiang; Cao, Jianfu] Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Shaanxi, Peoples R China
  • [ 3 ] [Cao, Jianfu] Xi An Jiao Tong Univ, Suzhou Acad, Suzhou 215123, Peoples R China
  • [ 4 ] [Zhang, Jialiang]Xian Technol Univ, Sch Elect Informat Engn, Xian 710021, Shaanxi, Peoples R China
  • [ 5 ] [Zhang, Jialiang]Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Shaanxi, Peoples R China
  • [ 6 ] [Cao, Jianfu]Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Shaanxi, Peoples R China
  • [ 7 ] [Cao, Jianfu]Xi An Jiao Tong Univ, Suzhou Acad, Suzhou 215123, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Suzhou Acad, Suzhou 215123, Peoples R China.

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Source :

ASIAN JOURNAL OF CONTROL

ISSN: 1561-8625

Year: 2018

Issue: 1

Volume: 20

Page: 286-297

2 . 0 0 5

JCR@2018

3 . 4 5 2

JCR@2020

ESI Discipline: ENGINEERING;

ESI HC Threshold:108

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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