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

Advances in Difference Equations

FC Zou¹  B Wang²  J Cheng²  SM Zhong³ 

[1] School of Applied Mathematics, University Electronic Science and Technology of China, Chengdu, China;School of Electrical Engineering and Electronic Information, Xihua University, Chengdu, China;School of Science, Hubei University for Nationalities, Enshi, China

关键词: Markovian jump system;    time-varying;    transition probabilities;    fault detection;    nonlinear;   

DOI  :  10.1186/s13662-017-1313-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY