A gray-box neural network-based model identification and fault estimation scheme for nonlinear dynamic systems

Zhaohui Cen, Jiaolong Wei, Rui Jiang

Research output: Contribution to journalArticle

23 Citations (Scopus)


A novel gray-box neural network model (GBNNM), including multi-layer perception (MLP) neural network (NN) and integrators, is proposed for a model identification and fault estimation (MIFE) scheme. With the GBNNM, both the nonlinearity and dynamics of a class of nonlinear dynamic systems can be approximated. Unlike previous NN-based model identification methods, the GBNNM directly inherits system dynamics and separately models system nonlinearities. This model corresponds well with the object system and is easy to build. The GBNNM is embedded online as a normal model reference to obtain the quantitative residual between the object system output and the GBNNM output. This residual can accurately indicate the fault offset value, so it is suitable for differing fault severities. To further estimate the fault parameters (FPs), an improved extended state observer (ESO) using the same NNs (IESONN) from the GBNNM is proposed to avoid requiring the knowledge of ESO nonlinearity. Then, the proposed MIFE scheme is applied for reaction wheels (RW) in a satellite attitude control system (SACS). The scheme using the GBNNM is compared with other NNs in the same fault scenario, and several partial loss of effect (LOE) faults with different severities are considered to validate the effectiveness of the FP estimation and its superiority.

Original languageEnglish
Article number1350025
JournalInternational Journal of Neural Systems
Issue number6
Publication statusPublished - 1 Dec 2013



  • Model identification and fault estimation
  • extended state observer
  • gray-box neural-network model
  • nonlinear dynamic systems
  • reaction wheel

ASJC Scopus subject areas

  • Computer Networks and Communications

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