Online identification of time‐delay jump Markov autoregressive exogenous systems with recursive expectation‐maximization algorithm

Summary This article considers the identification problem of the jump Markov autoregressive exogenous (JMARX) systems with unknown invariant time‐delay under the framework of recursive expectation‐maximization (REM) algorithm. In this article, a recursive Q‐function is formulated for the JMARX syste...

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Veröffentlicht in:International journal of adaptive control and signal processing Jg. 34; H. 3; S. 407 - 426
Hauptverfasser: Chen, Xin, Zhao, Shunyi, Liu, Fei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hoboken, USA John Wiley & Sons, Inc 01.03.2020
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ISSN:0890-6327, 1099-1115
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Zusammenfassung:Summary This article considers the identification problem of the jump Markov autoregressive exogenous (JMARX) systems with unknown invariant time‐delay under the framework of recursive expectation‐maximization (REM) algorithm. In this article, a recursive Q‐function is formulated for the JMARX systems, based on which the recursive sufficient statistics are obtained. Then, the parameter vectors, variance, transition probability matrix, and time‐delay are recursively estimated. A numerical example and a simulated continuous fermentation reactor process are employed to illustrate the effectiveness of the proposed algorithm.
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ISSN:0890-6327
1099-1115
DOI:10.1002/acs.3089