Non-fragile finite-time filter design for time-delayed Markovian jumping systems via T-S fuzzy model approach

被引:46
作者
He, Shuping [1 ]
Xu, Huiling [2 ]
机构
[1] Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlinear Markovian jumping systems (NM[!text type='JS']JS[!/text]s); Non-fragile finite-time H-infinity filter; Finite-time boundness; Takagi-Sugeno fuzzy models; Linear matrix inequalities (LMIs); H-INFINITY CONTROL; STOCHASTIC-SYSTEMS; CONTROLLER-DESIGN; PASSIVE CONTROL; LINEAR-SYSTEMS; SYNCHRONIZATION; STABILITY; NETWORKS;
D O I
10.1007/s11071-015-1933-4
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, the non-fragile finite-time filtering problem is studied for a class of nonlinear Markovian jumping systems (NMJSs) with time delays and uncertainties. To design the mode-dependent non-fragile state filter, Takagi-Sugeno (T-S) fuzzy models are employed to represent the time-delayed and uncertain NMJSs. Then, based on the Lyapunov-Krasovskii functional, a sufficient condition is derived for the existence of a desired non-fragile filter which also guarantees the finite-time boundness of the filtering error dynamical NMJSs. By this criterion, the approach to designing a non-fragile fuzzy filter is developed in terms of linear matrix inequalities. Finally, a numerical simulation is provided to illustrate the performance of the proposed method.
引用
收藏
页码:1159 / 1171
页数:13
相关论文
共 43 条
[1]   Finite-time stability of linear time-varying systems with jumps [J].
Amato, Francesco ;
Ambrosino, Roberto ;
Ariola, Marco ;
Cosentino, Carlo .
AUTOMATICA, 2009, 45 (05) :1354-1358
[2]   Robust H ∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps:: An LMI approach [J].
Assawinchaichote, Wudhichai ;
Nguang, Sing Kiong ;
Shi, Peng .
INFORMATION SCIENCES, 2007, 177 (07) :1699-1714
[3]   Non-fragile fuzzy H∞ filter design for nonlinear continuous-time systems with D stability constraints [J].
Chang, Xiao-Heng ;
Yang, Guang-Hong .
SIGNAL PROCESSING, 2012, 92 (02) :575-586
[4]   Finite-time H∞ filtering for a class of discrete-time Markovian jump systems with partly unknown transition probabilities [J].
Cheng, Jun ;
Zhu, Hong ;
Zhong, Shouming ;
Zeng, Yong ;
Hou, Liyuan .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2014, 28 (10) :1024-1042
[5]  
Dorato P., 1961, Short-Time Stability in Linear Time-Varying Systems
[6]   Non-fragile synchronization of neural networks with time-varying delay and randomly occurring controller gain fluctuation [J].
Fang, Mei ;
Park, Ju H. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (15) :8009-8017
[7]   Non-fragile passive controller design for nonlinear Markovian jumping systems via observer-based controls [J].
He, Shuping .
NEUROCOMPUTING, 2015, 147 :350-357
[8]   Finite-Time H∞ Fuzzy Control of Nonlinear Jump Systems With Time Delays Via Dynamic Observer-Based State Feedback [J].
He, Shuping ;
Liu, Fei .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (04) :605-614
[9]   Filtering-based robust fault detection of fuzzy jump systems [J].
He, Shuping ;
Liu, Fei .
FUZZY SETS AND SYSTEMS, 2011, 185 (01) :95-110
[10]   Adaptive synchronization for uncertain complex dynamical network using fuzzy disturbance observer [J].
Jeong, S. C. ;
Ji, D. H. ;
Park, Ju H. ;
Won, S. C. .
NONLINEAR DYNAMICS, 2013, 71 (1-2) :223-234