Stability Analysis of T-S Fuzzy Control System With Sampled-Dropouts Based on Time-Varying Lyapunov Function Method

被引：39
作者：
Wang, Zhanshan [1 ,2 ]
Sun, Jian [1 ,2 ]
Zhang, Huaguang [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2020年 / 50卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Fuzzy control; Stability analysis; Lyapunov methods; Switches; Actuators; Exponential stability; packet dropouts; sampled-data control; Takagi-Sugeno (T-S) fuzzy control system; time-varying Lyapunov function; SWITCHED SYSTEMS; NEURAL-NETWORKS; DELAY SYSTEMS; STABILIZATION;
D O I：
10.1109/TSMC.2018.2822482
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the stability problem of sampled data Takagi-Sugeno fuzzy control systems with packet dropouts is investigated. A sampling-dependent time-varying Lyapunov function (SDTVLF) is constructed to analyze the stability problem of the system and a switched system approach is proposed to model the packet dropouts phenomenon. On this basis, by dividing the sampling input available interval and unavailable interval into several segments, the matrix functions of the SDTVLF are chosen to be continuous piecewise linear. Then, by using the proposed SDTVLF approach, computable convex conditions are obtained for the sampling input unavailable interval and the sampling input available interval in framework of dwell time. By confining the sampling input unavailable interval with an upper bound and confining the sampling input available interval with a lower bound, the SDTVLF is always decreasing in all sampling input available and unavailable interval, which can make the sampled control system tolerate a larger packet dropout rate. A numerical example is provided to show the efficiency of the proposed results.
引用
收藏
页码：2566 / 2577
页数：12
相关论文
共 37 条
[1]   Robust Stability and Stabilization of Linear Switched Systems With Dwell Time [J].
Allerhand, Liron I. ;
Shaked, Uri .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) :381-386
[2]   Convex lifted conditions for robust l2-stability analysis and l2-stabilization of linear discrete-time switched systems with minimum dwell-time constraint [J].
Briat, Corentin .
AUTOMATICA, 2014, 50 (03) :976-983
[3]   Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models [J].
Cao, YY ;
Frank, PM .
FUZZY SETS AND SYSTEMS, 2001, 124 (02) :213-229
[4]   Observer-Based Adaptive Fuzzy Control for a Class of Nonlinear Delayed Systems [J].
Chen, Bing ;
Lin, Chong ;
Liu, Xiaoping ;
Liu, Kefu .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2016, 46 (01) :27-36
[5]  
Chen T, 1998, P IEEE, V86, P751
[6]   Stability and L2-gain analysis for impulsive delay systems: An impulse-time-dependent discretized Lyapunov functional method [J].
Chen, Wu-Hua ;
Ruan, Zhen ;
Zheng, Wei Xing .
AUTOMATICA, 2017, 86 :129-137
[7]   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
[8]  
David Ruelle, 1989, CHAOTIC EVOLUTION ST
[9]   Event-Triggered Stabilization of Neural Networks With Time-Varying Switching Gains and Input Saturation [J].
Ding, Sanbo ;
Wang, Zhanshan ;
Zhang, Huaguang .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (10) :5045-5056
[10]   Exponential Stabilization of Memristive Neural Networks via Saturating Sampled-Data Control [J].
Ding, Sanbo ;
Wang, Zhanshan ;
Rong, Nannan ;
Zhang, Huaguang .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (10) :3027-3039
1234