Title
Identification Of Markov Jump Autoregressive Processes From Large Noisy Data Sets
Abstract
This paper introduces a novel methodology for the identification of switching dynamics for switched autoregressive linear models. Switching behavior is assumed to follow a Markov model. The system's outputs are contaminated by possibly large values of measurement noise. Although the procedure provided can handle other noise distributions, for simplicity, it is assumed that the distribution is Normal with unknown variance. Given noisy input-output data, we aim at identifying switched system coefficients, parameters of the noise distribution, dynamics of switching and probability transition matrix of Markovian model. System dynamics are estimated using previous results which exploit algebraic constraints that system trajectories have to satisfy. Switching dynamics are computed with solving a maximum likelihood estimation problem. The efficiency of proposed approach is shown with several academic examples. Although the noise to output ratio can be high, the method is shown to be effective in the situations where a large number of measurements is available. Copyright (C) 2020 The Authors.
Year
DOI
Venue
2019
10.1016/j.ifacol.2020.12.1300
IFAC PAPERSONLINE
Keywords
DocType
Volume
Markov Switched ARX, Identification for Control
Journal
53
Issue
ISSN
Citations 
2
2405-8963
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Sarah Hojjatinia111.37
Constantino M. Lagoa216425.38