Mixed H 2 / H ∞ Fault Detection Filter for Markovian Jump Linear Systems
We tackle the mixed H 2 / H ∞ fault detection filter problem for a Markov jump linear system (MJLS) in the discrete-time domain. We present three distinct formulations: the first one is to minimize an upper bound on the H 2 subject to a given upper value on the H ∞ norm; the second one is the opposi...
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Published in | Mathematical problems in engineering Vol. 2018; pp. 1 - 12 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
16.07.2018
|
Online Access | Get full text |
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Summary: | We tackle the mixed
H
2
/
H
∞
fault detection filter problem for a Markov jump linear system (MJLS) in the discrete-time domain. We present three distinct formulations: the first one is to minimize an upper bound on the
H
2
subject to a given upper value on the
H
∞
norm; the second one is the opposite situation; that is, we minimize an upper bound on
H
∞
, subject to a given restriction on the
H
2
norm; and the third one is the minimization of a weighted combination of the upper bound of both the
H
2
and
H
∞
norms. We present new conditions in the form of linear matrices inequalities (LMI) that provide the design of the fault detection filter. We also present results for the so-called mode-independent case and the design of robust
H
∞
filters in the sense that the system matrices are uncertain. In order to illustrate the feasibility of the proposed approaches, a numerical example is presented. |
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ISSN: | 1024-123X 1563-5147 |
DOI: | 10.1155/2018/4239696 |