TY - JOUR
T1 - Gain Scheduled Fault Detection Filter for Markovian Jump Linear System with Nonhomogeneous Markov Chain
AU - Carvalho, Leonardo
AU - Palma, Jonathan M.
AU - Morais, Cecília F.
AU - Jayawardhana, Bayu
AU - Costa, Oswaldo L.V.
N1 - Funding Information:
This research was funded by ANID-FONDECYT grant number 11201049 and 1220903. And The APC was funded by ANID-FONDECYT. The first, second, and third authors were funded by the Chilean National Agency for Research and Development, project ANID-FONDECYT Iniciacion finance code N° 11201049 and ANID-FONDECYT 1220903. The fifth author was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), process No. 304149/2019-5, and by Instituto Nacional de Ciência e Tecnologia para Sistemas Autônomos Cooperativos (INSAC), process CNPq/INCT -465755/2014-3 and FAPESP/INCT-2014/50851-0.
Publisher Copyright:
© 2023 by the authors.
PY - 2023/4/3
Y1 - 2023/4/3
N2 - In a networked control system scenario, the packet dropout is usually modeled by a time-invariant (homogeneous) Markov chain (MC) process. However, from a practical point of view, the probabilities of packet loss can vary in time and/or probability parameter dependency. Therefore, to design a fault detection filter (FDF) implemented in a semi-reliable communication network, it is important to consider the variation in time of the network parameters, by assuming the more accurate scenario provided by a nonhomogeneous jump system. Such a premise can be properly taken into account within the linear parameter varying (LPV) framework. In this sense, this paper proposes a new design method of (Formula presented.) gain-scheduled FDF for Markov jump linear systems under the assumption of a nonhomogeneous MC. To illustrate the applicability of the theoretical solution, a numerical simulation is presented.
AB - In a networked control system scenario, the packet dropout is usually modeled by a time-invariant (homogeneous) Markov chain (MC) process. However, from a practical point of view, the probabilities of packet loss can vary in time and/or probability parameter dependency. Therefore, to design a fault detection filter (FDF) implemented in a semi-reliable communication network, it is important to consider the variation in time of the network parameters, by assuming the more accurate scenario provided by a nonhomogeneous jump system. Such a premise can be properly taken into account within the linear parameter varying (LPV) framework. In this sense, this paper proposes a new design method of (Formula presented.) gain-scheduled FDF for Markov jump linear systems under the assumption of a nonhomogeneous MC. To illustrate the applicability of the theoretical solution, a numerical simulation is presented.
KW - fault-detection filter
KW - H norm
KW - LMI relaxations
KW - Markovian jump linear system
KW - nonhomogeneous Markov chains
UR - https://www.scopus.com/pages/publications/85152935795
U2 - 10.3390/math11071713
DO - 10.3390/math11071713
M3 - Article
AN - SCOPUS:85152935795
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 7
M1 - 1713
ER -