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...

Full description

Saved in:
Bibliographic Details
Published inEuropean journal of control Vol. 59; pp. 99 - 108
Main Authors Carvalho, Leonardo de Paula, Toriumi, Fabio Yukio, Angélico, Bruno Augusto, Costa, Oswaldo Luiz do Valle
Format Journal Article
LanguageEnglish
Published Philadelphia Elsevier Ltd 01.05.2021
Elsevier Limited
Subjects
[formula omitted] norm
[formula omitted] sensibility index
Actuators
Control moment gyroscope
Fault detection
Fault detection and isolation
Gyroscopes
H-infinity control
Linear systems
Markov analysis
Markovian jump linear system
Matrices (mathematics)
Optimization
Satellite attitude control
Satellite communications
Spacecraft attitude control
Fault detection and isolation
H− sensibility index
H∞ norm
Markovian jump linear system
Control moment gyroscope
Online AccessGet full text

Cover

More Information
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.
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2021.02.003