Title: H_∞ fault detection for 2D discrete Markovian jump systems

Authors: Khalid Badie; Laila Dami; Zakaria Chalh

Addresses: Department of Physics, Faculty of Science Semlalia, Cadi Ayyad University, Marrakesh, 40000, Morocco ' Department of Physics, Faculty of Science Semlalia, Cadi Ayyad University, Marrakesh, 40000, Morocco ' Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km 5 Road, Imouzzer, BP 72, Fez, Morocco

Abstract: In this paper, the problem of H_∞ fault detection for two-dimensional (2D) discrete Markovian jump systems is investigated. The mathematical model of 2D Markovian jump systems is established upon the well-known Fornasini-Marchesini (F-M) second model. Our purpose is to design a fault-detection filter for generating a residual signal which can be used to decide whether or not a fault has occurred in the system. Based on an H_∞ performance condition, the full-order and reduced-order fault detection filters are designed in a unified framework. The corresponding fault detection filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Two numerical examples are presented to demonstrate the effectiveness of the developed theoretical results.

Keywords: 2D systems; Markovian jump; H_∞ fault detection; linear matrix inequalities; LMIs.

DOI: 10.1504/IJSCC.2024.141396

International Journal of Systems, Control and Communications, 2024 Vol.15 No.3, pp.273 - 291

Received: 30 Jan 2024
Accepted: 24 Jul 2024
Published online: 10 Sep 2024 *

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