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Mixed H2H∞ Fault Detection Filter for Markovian Jump Linear Systems
Joint Authors
de Paula Carvalho, Leonardo
Marcorin de Oliveira, André
Costa, Oswaldo Luiz do Valle
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We tackle the mixed H2/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 H2 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 H2 norm; and the third one is the minimization of a weighted combination of the upper bound of both the H2 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.
American Psychological Association (APA)
de Paula Carvalho, Leonardo& Marcorin de Oliveira, André& Costa, Oswaldo Luiz do Valle. 2018. Mixed H2H∞ Fault Detection Filter for Markovian Jump Linear Systems. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1207389
Modern Language Association (MLA)
de Paula Carvalho, Leonardo…[et al.]. Mixed H2H∞ Fault Detection Filter for Markovian Jump Linear Systems. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1207389
American Medical Association (AMA)
de Paula Carvalho, Leonardo& Marcorin de Oliveira, André& Costa, Oswaldo Luiz do Valle. Mixed H2H∞ Fault Detection Filter for Markovian Jump Linear Systems. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1207389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207389