Finite-time boundedness filtering for discrete-time Markovian jump system subject to partly unknown transition probabilities

被引：25

作者：

Zhong, Qishui ^{[1
,2
]}

Bai, Jinping ^{[1
]}

Wen, Bin ^{[1
]}

Li, Shujun ^{[3
]}

Zhong, Fuli ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Aeronaut & Astronaut, Chengdu 611731, Sichuan, Peoples R China

[2] China Zhenhua Elect Grp Co Ltd, Guiyang 550018, Guizhou, Peoples R China

[3] Sinowatt Dongguan Ltd, Dongguan 523696, Guangdong, Peoples R China

来源：

ISA TRANSACTIONS | 2014年 / 53卷 / 04期

基金：

中国博士后科学基金;

关键词：

H-infinity finite-time stability; Time-varying transition probability; Markovian jump system; H-infinity control; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; NEURAL-NETWORKS; VARYING DELAYS; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; SINGULAR SYSTEMS; STABILIZATION; SYNCHRONIZATION;

D O I：

10.1016/j.isatra.2014.03.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problem of finite-time boundedness filtering for discrete-time Markovian jump system subject partly unknown transition probabilities. By using the multiple Lyapunov function approach, a novel sufficient condition for finite-time bounded of H-infinity filtering is derived and the system trajectory stays within a prescribed bound during a specified time interval. Finally, an example is provided to illustrate the usefulness and effectiveness of the proposed method. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：1107 / 1118

页数：12

共 41 条

[11] Finite-time stabilization and stabilizability of a class of controllable systems [J].

Hong, YG .

SYSTEMS & CONTROL LETTERS, 2002, 46 (04) :231-236

[12]

Krasovskii N., 1961, AUTOMAT REM CONTR, V22

[13] Robust H∞ filtering for a class of discrete-time nonlinear systems [J].

Lee, S. M. ;

Ji, D. H. ;

Kwon, O. M. ;

Park, Ju H. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) :7991-7997

[14] Adaptive Fuzzy Robust Output Feedback Control of Nonlinear Systems With Unknown Dead Zones Based on a Small-Gain Approach [J].

Li, Yongming ;

Tong, Shaocheng ;

Liu, Yanjun ;

Li, Tieshan .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (01) :164-176

[15]

Li YM, 2012, INT J FUZZY SYST, V14, P320

[16] Stabilization of discrete-time switched singular time-delay systems under asynchronous switching [J].

Lin, Jinxing ;

Fei, Shumin ;

Gao, Zhifeng .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (05) :1808-1827

[17] Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance [J].

Lin, Xiangze ;

Du, Haibo ;

Li, Shihua .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) :5982-5993

[18] Finite-time stabilization and boundedness of switched linear system under state-dependent switching [J].

Liu, Hao ;

Shen, Yi ;

Zhao, Xudong .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (03) :541-555

[19] Reliable H∞ filtering for discrete time-delay Markovian jump systems with partly unknown transition probabilities [J].

Liu, Yisha ;

Wang, Zidong ;

Wang, Wei .

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2011, 25 (06) :554-570

[20] Finite-time filtering for non-linear stochastic systems with partially known transition jump rates [J].

Luan, X. ;

Liu, F. ;

Shi, P. .

IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (05) :735-745

← 1 2 3 4 5 →