Fault detection filter design for a class of nonlinear Markovian jumping systems with mode-dependent time-varying delays

被引：47
|
作者：
He, Shuping [1 ]
机构：
[1] Anhui Univ, Sch Elect Engn & Automat, Minist Educ, Key Lab Intelligent Comp & Signal Proc, Hefei 230601, Anhui, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 91卷 / 03期
关键词：
Markovian jumping systems (M[!text type='JS']JS[!/text]s); Fault detection filter (FDF); Takagi-Sugeno fuzzy (TSF) modeling; Mode-dependent time-delays; H-infinity-filtering; LMI APPROACH; LINEAR-SYSTEMS; SYNCHRONIZATION; NETWORKS;
D O I：
10.1007/s11071-017-3987-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The fault detection filter (FDF) design problem of a class of time-delayed and nonlinear Markovian jumping systems (MJSs) is considered. The delays in this paper are mode-dependent and time-varying. Using the Takagi-Sugeno fuzzy (TSF) modeling methods, the relevant TSF-MJSs related to the TSF-FDF model are obtained. Through introducing a reference residual model, the FDF design scheme can be derived as an H-infinity-filtering formulation. By selecting a suitable mode-dependent time-delayed Lyapunov-Krasovskii functional (LKF), we get sufficient conditions through which the stochastic stability of the TSF-MJSs can be guaranteed. Then in terms of linear matrix inequalities techniques, the fuzzy FDF design scheme can be derived as an optimization one. A simulation example is demonstrated as last to illustrate the feasibility of the studied methods.
引用
收藏
页码：1871 / 1884
页数：14
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