Title
Fault Detection for a Class of Nonlinear Singular Systems Over Networks with Mode-Dependent Time Delays
Abstract
In this paper, the fault detection problem is investigated for a class of nonlinear discrete-time singular systems over networks with mode-dependent time delays. The transmission delays are modeled as a Markov chain with partly known distribution, which takes values in a finite state space. By augmenting the original nonlinear singular system and the fault detection filter, the resulting fault detection dynamics is formulated as an $$H_{\infty }$$ H filtering problem of a singular Markov jump system. Regular, casual, stochastically stable of the fault detection dynamics and the prescribed $$H_{\infty }$$ H attenuation level are obtained by the mode-dependent Lyapunov functional approach. The desired fault detection filter is obtained in terms of a series of feasible LMIs. A numerical example is presented to show the effectiveness of the developed technique.
Year
DOI
Venue
2014
10.1007/s00034-014-9797-2
Circuits, Systems, and Signal Processing
Keywords
Field
DocType
Nonlinear singular systems, Networked control systems, Partly known distribution, Fault detection filter, Linear matrix inequality
Mathematical optimization,Nonlinear system,Fault detection and isolation,Control theory,Markov chain,Singular systems,Filtering problem,Attenuation,Jump,Linear matrix inequality,Mathematics
Journal
Volume
Issue
ISSN
33
10
1531-5878
Citations 
PageRank 
References 
3
0.38
16
Authors
4
Name
Order
Citations
PageRank
Yanqian Wang1184.99
Shuyu Zhang2144.74
Ze Li3563.48
Minsong Zhang4120.85