Frequency domain analysis and identification of block-oriented nonlinear systems

Xingjian Jing

Research output: Journal article publicationJournal articleAcademic researchpeer-review

38 Citations (Scopus)


Block-oriented nonlinear models including Wiener models, Hammerstein models and WienerHammerstein models, etc. have been extensively applied in practice for system identification, signal processing and control. In this study, analytical frequency response functions including generalized frequency response functions (GFRFs) and nonlinear output spectrum of block-oriented nonlinear systems are developed, which can demonstrate clearly the relationship between frequency response functions and model parameters, and also the dependence of frequency response functions on the linear part of the model. The nonlinear part of these models can be a more general multivariate polynomial function. These fundamental results provide a significant insight into the analysis and design of block-oriented nonlinear systems. Effective algorithms are therefore proposed for the estimation of nonlinear output spectrum and for parametric or nonparametric identification of nonlinear systems. Compared with some existing frequency domain identification methods, the new estimation algorithms do not necessarily require model structure information, not need the invertibility of the nonlinearity and not restrict to harmonic inputs. Simulation examples are given to illustrate these new results.
Original languageEnglish
Pages (from-to)5427-5442
Number of pages16
JournalJournal of Sound and Vibration
Issue number22
Publication statusPublished - 24 Oct 2011

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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