Optimal state estimation over communication channels with random delays

Magdi S. Mahmoud, Bo Liu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


This paper is concerned with the optimal estimation of linear systems over unreliable communication channels with random delays. The measurements are delivered without time stamp, and the probabilities of time delays are assumed to be known. Since the estimation is time-driven, the actual time delays are converted into virtual time delays among the formulation. The receiver of estimation node stores the sum of arrived measurements between two adjacent processing time instants and also counts the number of arrived measurements. The original linear system is modeled as an extended system with uncertain observation to capture the feature of communication, then the optimal estimation algorithm of systems with uncertain observations is proposed. Additionally, a numerical simulation is presented to show the performance of this work. © 2013 The Franklin Institute.
Original languageEnglish (US)
Pages (from-to)598-616
Number of pages19
JournalJournal of the Franklin Institute
Issue number3
StatePublished - Apr 2013

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics
  • Computer Networks and Communications
  • Control and Systems Engineering


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