A new interval type-2 fuzzy controller for stabilization of interval type-2 T-S fuzzy systems

被引：24
|
作者：
Zhao, Tao [1 ]
Xiao, Jian [2 ]
机构：
[1] Southwest Jiaotong Univ, Sch Transportat & Logist, Chengdu 610031, Peoples R China
[2] Southwest Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 04期
基金：
中国国家自然科学基金;
关键词：
LMI-BASED STABILITY; QUADRATIC STABILITY; NONLINEAR-SYSTEMS; LYAPUNOV FUNCTION; OPTIMAL-DESIGN; PERFORMANCE;
D O I：
10.1016/j.jfranklin.2015.01.029
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 study proposes a new interval type-2 (IT2) fuzzy controller for stabilization of nonlinear systems subject to parameter uncertainties. An IT2 T-S fuzzy model is employed to represent the nonlinear systems. New membership-dependent stability conditions in terms of linear matrix inequalities (LMIs) are derived by employing fuzzy weighting-dependent Lyapunov functions. The information about the time derivative of upper and lower membership functions is considered to achieve more relaxed stability conditions. Compared to existing techniques in literature, simulation examples illustrate that the conservativeness of the obtained results is reduced. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1627 / 1648
页数：22
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