Fault detection filter design for continuous-time nonlinear Markovian jump systems with mode-dependent delay and time-varying transition probabilities

Fault detection filter design for continuous-time nonlinear Markovian jump systems with mode-dependent delay and time-varying transition probabilities

Abstract This paper focuses on fault detection filter (FDF) design for continuous-time nonlinear Markovian jump systems (NMJSs) with mode-dependent delay and time-varying transition probabilities (TPs). By using a novel Lyapunov-Krasovskii function and based on convex polyhedron technique, a new FDF...

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Bibliographic Details
Main Authors: B Wang, FC Zou, J Cheng, SM Zhong
Format: Article
Language:English
Published: Springer 2017-08-01
Series:Advances in Difference Equations
Subjects:
Markovian jump system
time-varying
transition probabilities
fault detection
nonlinear
Online Access:http://link.springer.com/article/10.1186/s13662-017-1313-0
Description
Summary:Abstract This paper focuses on fault detection filter (FDF) design for continuous-time nonlinear Markovian jump systems (NMJSs) with mode-dependent delay and time-varying transition probabilities (TPs). By using a novel Lyapunov-Krasovskii function and based on convex polyhedron technique, a new FDF, as the residual generator, is constructed to guarantee the mean-square exponential stability and a prescribed level of disturbance attenuation for admissible perturbations of NMJSs. Finally, the numerical simulation is carried out to demonstrate the effectiveness of our method.
ISSN:1687-1847

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