4.8 Article

A Data-Driven Hybrid ARX and Markov Chain Modeling Approach to Process Identification With Time-Varying Time Delays

Journal

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 64, Issue 5, Pages 4226-4236

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2016.2597764

Keywords

AutoRegressive eXogenous (ARX) model; expectation-maximization (EM) algorithm; Markov chain; process identification; time delays

Funding

  1. Natural Sciences and Engineering Research Council of Canada
  2. Alberta Innovates Technology Futures

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In this paper, we consider an important practical industrial process identification problem where the time delay can change at every sampling instant. We model the time-varying discrete time-delay mechanism by a Markov chain model and estimate the Markov chain parameters along with the time-delay sequence simultaneously. Besides time-varying delay, processes with both time-invariant and time-variantmodel parameters are also considered. The former is solved by an expectation-maximization (EM) algorithm, while the latter is solved by a recursive version of the EM algorithm. The advantages of the proposed identification methods are demonstrated by numerical simulation examples and an evaluation on pilot-scale experiments.

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