H2 / H\infty Simultaneous Fault Detection and Control for Markov Jump Linear Systems With Partial Observation
We focus on the Simultaneous Fault Detection and Control (SFDC) in the context of Markov Jump Linear Systems (MJLS). The main novelty of the paper is the design of H ∞ and H 2 SFDC under the MJLS framework considering partial observation of the Markov chain. Both designs are obtained via Bilinear Ma...
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| Veröffentlicht in: | IEEE access 2020, Vol.8, p.11979-11990 |
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| creator | Carvalho, Leonardo De Paula Oliveira, Andre Marcorin De Costa, Oswaldo Luiz Do Valle |
| description | We focus on the Simultaneous Fault Detection and Control (SFDC) in the context of Markov Jump Linear Systems (MJLS). The main novelty of the paper is the design of H ∞ and H 2 SFDC under the MJLS framework considering partial observation of the Markov chain. Both designs are obtained via Bilinear Matrix Inequalities optimization problem. As secondary results we provide a Mixed H 2 /H ∞ SFDC under the same set up, as well as the implementation of a coordinated descent algorithm to solve the optimization problem formulated as Bilinear Matrix Inequalities (BMI). To illustrate the viability of the proposed solution a numerical example is provided. |
| doi_str_mv | 10.1109/ACCESS.2020.2964163 |
| format | Article |
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| identifier | EISSN: 2169-3536 |
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| source | IEEE Open Access Journals; DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H ₂ norm <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H ∞ norm Detectors Fault detection hidden markov mode Linear matrix inequalities Linear systems Markov processes Markovian jump linear systems Reliability simultaneous fault detection and control Symmetric matrices |
| title | H2 / H\infty Simultaneous Fault Detection and Control for Markov Jump Linear Systems With Partial Observation |
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