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Journal ArticleDOI

Fault detection for Markovian jump systems

M Zhong, +3 more
- Vol. 152, Iss: 4, pp 397-402
TLDR
In this article, the robust fault detection problem for a class of discrete-time linear Markovian jump systems with an unknown input is formulated as an H∞-filtering problem, in which the filter matrices are dependent on the system mode.
Abstract
The paper deals with the robust fault detection problem for a class of discrete-time linear Markovian jump systems with an unknown input. By using a general observer-based fault detection filter as residual generator, the robust fault detection filter design is formulated as an H∞-filtering problem, in which the filter matrices are dependent on the system mode, i.e. the residual generator is a Markovian jump linear system as well. The main objective is to make the error between residual and fault (or, more generally, weighted fault) as small as possible. A sufficient condition to solve this problem is established in terms of the feasibility of certain linear matrix inequalities (LMI), which can be solved with the aid of Matlab LMI Toolbox. A numerical example is given to illustrate the effectiveness of the proposed techniques.

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Citations
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Journal ArticleDOI

A Survey of Fault Detection, Isolation, and Reconfiguration Methods

TL;DR: A survey of the various model-based FDIR methods developed in the last decade is presented, and various techniques of implementing reconfigurable control strategy in response to faults are discussed.
Journal ArticleDOI

Fuzzy Filter Design for ItÔ Stochastic Systems With Application to Sensor Fault Detection

TL;DR: The aim is to develop a robust fault detection approach to the T-S fuzzy systems with Brownian motion by using a general observer-based fault detection filter as a residual generator, and attention is focused on the design of both the fuzzy-rule-independent and the fuzzy -rule-dependent fault detection filters guaranteeing a prescribed noise attenuation level in an Hinfin sense.
Journal ArticleDOI

A survey on Markovian jump systems: Modeling and design

TL;DR: In this paper, a survey on recent developments of modeling, analysis and design of Markovian jump systems is presented, and a variety of control and filter design methods are systematically recalled.
Journal ArticleDOI

Robust Fault Detection for Switched Linear Systems With State Delays

TL;DR: By a switched Lyapunov functional approach, a sufficient condition for the solvability of this problem is established in terms of linear matrix inequalities, and a numerical example is provided to demonstrate the effectiveness of the proposed method.
Journal ArticleDOI

Fuzzy-Model-Based Robust Fault Detection With Stochastic Mixed Time Delays and Successive Packet Dropouts

TL;DR: The main purpose of this paper is to design a fuzzy fault detection filter such that the overall fault detection dynamics is exponentially stable in the mean square and the error between the residual signal and the fault signal is made as small as possible.
References
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Book

Robust Model-Based Fault Diagnosis for Dynamic Systems

TL;DR: Robust Model-Based Fault Diagnosis for Dynamic Systems targets both newcomers who want to get into this subject, and experts who are concerned with fundamental issues and are also looking for inspiration for future research.
Book

Fault detection and diagnosis in engineering systems

Janos Gertler
TL;DR: In this article, a fault detection and diagnosis framework for discrete linear systems with residual generators and residual generator parameters is presented for additive and multiplicative faults by parameter estimation using a parity equation.
BookDOI

Issues of Fault Diagnosis for Dynamic Systems

TL;DR: In this paper, the issues of fault diagnosis for dynamic systems (including fault detection and isolation) has become an important topic of research and many applications of qualitative and quantitative modelling, statistical processing and neural networks are now being planned and developed in complex engineering systems.
Journal ArticleDOI

Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems

TL;DR: In this paper, the authors present new synthesis procedures for discrete-time linear systems based on a recently developed stability condition which contains as particular cases both the celebrated Lyapunov theorem for precisely known systems and the quadratic stability condition for systems with uncertain parameters.
Journal ArticleDOI

Brief An LMI approach to design robust fault detection filter for uncertain LTI systems

TL;DR: The basic idea of this study is to use an optimal residual generator as the reference residual model of the robust fault detection filter design for uncertain LTI systems with modelling errors and, based on it, to formulate the robust Fault Detection filter design as an H"~ model-matching problem.
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