Stabilization of singular T-S fuzzy Markovian jump system with mode-dependent derivative-term coefficient via sliding mode control

被引：25

作者：

Zhang, Di ^{[1
]}

Jing, Yuanwei ^{[1
]}

Zhang, Qingling ^{[2
]}

Dimirovski, Georgi M. ^{[3
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

[2] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China

[3] Dogus Univ, Sch Engn, TR-34722 Istanbul, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 364卷

关键词：

Singular T-S fuzzy Markovian jump system; Mode-dependent derivative-term coefficient; Sliding mode control; Continuous switching function; Uncertain transition rate; H-INFINITY CONTROL; TIME-VARYING DELAYS; GUARANTEED COST; STABILITY; DESIGN;

D O I：

10.1016/j.amc.2019.124643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces sliding mode control for singular Takagi-Sugeno (T-S) fuzzy Markovian jump system with mode-dependent derivative-term coefficient. Firstly, a new continuous switching function is designed. Then sufficient conditions about admissibility of sliding motion under the case of completely known transition rate and uncertain transition rate are presented, respectively. The obtained conditions are strict linear matrix inequalities. Furthermore, a sliding mode controller is presented. Finally, an example is given to illustrate the effectiveness of the obtained results in this paper. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：19

共 56 条

[1]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[2] H∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints:: An LMI approach [J].

Assawinchaichote, W ;

Nguang, SK .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :579-588

[3]

Boukas EK, 2008, COMMUN CONTROL ENG, P1

[4] Peak-to-Peak Filtering for Networked Nonlinear DC Motor Systems With Quantization [J].

Chang, Xiao-Heng ;

Wang, Yi-Ming .

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2018, 14 (12) :5378-5388

[5] Fuzzy Generalized H2 Filtering for Nonlinear Discrete-Time Systems With Measurement Quantization [J].

Chang, Xiao-Heng ;

Li, Zhi-Min ;

Park, Ju H. .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2018, 48 (12) :2419-2430

[6] New Results on Output Feedback H∞ Control for Linear Discrete-Time Systems [J].

Chang, Xiao-Heng ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1355-1359

[7] Nonfragile H∞ Filtering of Continuous-Time Fuzzy Systems [J].

Chang, Xiao-Heng ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (04) :1528-1538

[8]

Chen B, 2016, SPRINGERPLUS, V5, P1

[9] Dynamic Output-Feedback Dissipative Control for T-S Fuzzy Systems With Time-Varying Input Delay and Output Constraints [J].

Choi, Hyun Duck ;

Ahn, Choon Ki ;

Shi, Peng ;

Wu, Ligang ;

Lim, Myo Taeg .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (03) :511-526

[10]

do Valle Costa O.L., 2012, Continuous-time Markov jump linear systems

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