Reducing the conservatism of stability analysis for discrete-time T-S fuzzy systems based on a delayed Lyapunov function

被引：1
作者：
Xie, Xiang-Peng [1 ,2 ]
Weng, Sheng-Xuan [1 ]
Zhang, Hui-Feng [1 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Inst Adv Technol, Nanjing 210003, Jiangsu, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China
来源：
NEUROCOMPUTING | 2016年 / 171卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Delayed Lyapunov function; Fuzzy systems; Stability conditions; STABILIZATION CONDITIONS; DESIGN;
D O I：
10.1016/j.neucom.2015.07.059
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this study, we propose some relaxed stability conditions for discrete-time Takagi-Sugeno fuzzy systems. In contrast to existing methods in the literature which are only parameter-dependent on the current-instant normalized fuzzy weighting functions, a delayed Lyapunov function that is formulated in a higher order form of the multi-instant normalized fuzzy weighting functions than existing ones is proposed for achieving the mission of reducing conservatism. It is proved in theory that the method given in this paper includes a recent result in the literature as one special case. Finally, a simulation example is employed to show the effectiveness of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：1139 / 1145
页数：7
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