Model-based fault detection filter for Markovian jump linear systems applied to a control moment gyroscope
We study a fault detection problem in the context of Markovian Jump Linear Systems (MJLS). The major contribution of this paper is the design of a mode-dependent mixed H∞/H− Fault Detection Filter (FDF) under the MJLS formulation, which is obtained by solving a Linear and Bilinear Matrices Inequalit...
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Published in | European journal of control Vol. 59; pp. 99 - 108 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Philadelphia
Elsevier Ltd
01.05.2021
Elsevier Limited |
Subjects | |
Online Access | Get full text |
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Summary: | We study a fault detection problem in the context of Markovian Jump Linear Systems (MJLS). The major contribution of this paper is the design of a mode-dependent mixed H∞/H− Fault Detection Filter (FDF) under the MJLS formulation, which is obtained by solving a Linear and Bilinear Matrices Inequalities (LMI / BMI) optimization problem. As a secondary contribution, we present a simulation of the theoretical results using a Control Moment Gyroscope unit, which is extensively used as an actuator for attitude control of spacecraft and satellites. The attitude control of satellites is a class of problem that is within the framework of MJLS, since it allows us to model the loss of communication between the various components of the network system. Therefore, designing Fault Detection Filters under this framework provides reliable solutions. From the simulations results, it is possible to observe that the proposed mixed H∞/H− fault detection solution outperformed the approach using only the H∞ norm, showing that it could be a valuable alternative for the fault detection problem. |
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ISSN: | 0947-3580 1435-5671 |
DOI: | 10.1016/j.ejcon.2021.02.003 |