New Stability Criteria for Discrete-Time Fuzzy Systems with Time-Varying Delays

被引:0
作者
Chen, Jun [1 ]
Zhang, Baoyong [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源
PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2016年
关键词
H-INFINITY CONTROL; STABILIZATION CONDITIONS; CONTROLLER-DESIGN;
D O I
暂无
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 deals with the problem of stability analysis for the discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. Different from the existing works in the literature, this paper makes the use of the discrete-time version of the so-called Wirtinger-based inequality, which includes Jensen inequality as a special case. Based on a novel fuzzy Lyapunov-Krasovskii functional, the delay-dependent stability conditions for the systems under consideration are obtained, which allow a larger delay interval and involve less decision variables than the recent stability criteria. This is illustrated by using a numerical example.
引用
收藏
页码:733 / 737
页数:5
相关论文
共 28 条
[1]  
[Anonymous], 2015, FUZZY CONTROL SYSTEM
[2]   New relaxed stability and stabilization conditions for continuous-time T-S fuzzy models [J].
Chen, Jun ;
Xu, Shengyuan ;
Zhang, Baoyong ;
Chu, Yuming ;
Zou, Yun .
INFORMATION SCIENCES, 2016, 329 :447-460
[3]   Further studies on stability and stabilization conditions for discrete-time T-S systems with the order relation information of membership functions [J].
Chen, Jun ;
Xu, Shengyuan ;
Li, Yongmin ;
Chu, Yuming ;
Zou, Yun .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (12) :5796-5809
[4]   An improved robust stabilization method for discrete-time fuzzy systems with time-varying delays [J].
Gonzalez, A. ;
Guerra, T. M. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (11) :5148-5161
[5]  
GU K., 2003, CONTROL ENGN SER BIR
[6]   Robust fuzzy control of nonlinear systems with parametric uncertainties [J].
Lee, HJ ;
Park, JB ;
Chen, G .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2001, 9 (02) :369-379
[7]   Controller Design for TS Models Using Delayed Nonquadratic Lyapunov Functions [J].
Lendek, Zsofia ;
Guerra, Thierry-Marie ;
Lauber, Jimmy .
IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (03) :453-464
[8]   A New Model Transformation of Discrete-Time Systems With Time-Varying Delay and Its Application to Stability Analysis [J].
Li, Xianwei ;
Gao, Huijun .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (09) :2172-2178
[9]   Stability analysis and controller synthesis for discrete-time delayed fuzzy systems via small gain theorem [J].
Li, Zhicheng ;
Gao, Huijun ;
Agarwal, Ramesh K. .
INFORMATION SCIENCES, 2013, 226 :93-104
[10]   Note on stability of discrete-time time-varying delay systems [J].
Liu, J. ;
Zhang, J. .
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (02) :335-339