Highly computationally efficient state filter based on the delta operator

Xiao Zhang, Feng Ding, Ling Xu, Erfu Yang

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)
8 Downloads (Pure)


The Kalman filter is not suitable for the state estimation of linear systems with multistate delays, and the extended state vector Kalman filtering algorithm results in heavy computational burden because of the large dimension of the state estimation covariance matrix. Thus, in this paper, we develop a novel state estimation algorithm for enhancing the computational efficiency based on the delta operator. The computation analysis and the simulation example show the performance of the proposed algorithm.

Original languageEnglish
Pages (from-to)875-889
Number of pages15
JournalInternational Journal of Adaptive Control and Signal Processing
Issue number6
Early online date23 Apr 2019
Publication statusPublished - 30 Jun 2019


  • delta operator
  • Kalman filtering
  • state estimation
  • time-delay system

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