Asynchronous H∞ filtering for 2D discrete Markovian jump systems with sensor failure

被引:13
作者
Zhai, Ding [1 ]
Lu, An-Yang [1 ]
Dong, Jiuxiang [2 ]
Zhang, Qing-Ling [1 ]
机构
[1] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China
关键词
Asynchronous H-infinity filtering; Two-dimensional Markovian jump systems; Sensor failure; Linear matrix inequalities; ROBUST STABILIZATION; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; FAULT-DETECTION; TIME-DELAY;
D O I
10.1016/j.amc.2016.05.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates the problem of the asynchronous H-infinity filtering for a class of two-dimensional(2D) Markovian jump systems with sensor failure. The asynchronous phenomenon is considered to be random mismatch between system modes and candidate filters. The mismatch behavior is assumed to be stochastic with a certain probability and a new Markov chain is proposed to model the jumping process of the filtering error system. Besides, a switching method is proposed to dealing with the sensor failure. Sufficient conditions for the existence of a desired filter such that the filtering error system is stochastically stable with a guaranteed H-infinity performance index are obtained in the form of linear matrix inequalities (LMIs). Two examples are provided to illustrate the effectiveness and advantage of the proposed method. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:60 / 79
页数:20
相关论文
共 46 条
[1]  
Aberkane S, 2006, INT J INNOV COMPUT I, V2, P1179
[2]   Robust static output-feedback controller design against sensor failure for vehicle dynamics [J].
Aouaouda, Sabrina ;
Chadli, Mohammed ;
Karimi, Hamid-Reza .
IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (09) :728-737
[3]   Finite-time asynchronous H∞ control for Markov jump repeated scalar non-linear systems with input constraints [J].
Chen, Mengshen ;
Yang, Xiaofei ;
Shen, Hao ;
Yao, Fengqi .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 :172-180
[4]  
Costa O.L.V., 2005, Discrete-Time Markov Jump Linear Systems, DOI DOI 10.1007/B138575
[5]  
[崔嘉珺 Cui Jiajun], 2014, [东华大学学报. 自然科学版, Journal of Donghua University. Natural Science Edition], V40, P122
[6]   Mode-independent H∞ filters for Markovian jump linear systems [J].
de Souza, Carlos E. ;
Trofino, Alexandre ;
Barbosa, Karina A. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (11) :1837-1841
[7]   Robust H∞ Filtering for Markovian Jump Systems With Randomly Occurring Nonlinearities and Sensor Saturation: The Finite-Horizon Case [J].
Dong, Hongli ;
Wang, Zidong ;
Ho, Daniel W. C. ;
Gao, Huijun .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (07) :3048-3057
[8]   Reliable State Feedback Control of T-S Fuzzy Systems With Sensor Faults [J].
Dong, Jiuxiang ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (02) :421-433
[9]   H∞ control and robust stabilization of two-dimensional systems in Roesser models [J].
Du, CL ;
Xie, LH ;
Zhang, CS .
AUTOMATICA, 2001, 37 (02) :205-211
[10]   H∞ Filtering of Discrete-Time Markov Jump Linear Systems Through Linear Matrix Inequalities [J].
Goncalves, Alim P. C. ;
Fioravanti, Andre R. ;
Geromel, Jose C. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (06) :1347-1351