Model reduction for interval type-2 Takagi-Sugeno fuzzy systems

被引：194
作者：
Li, Hongyi [1 ]
Yin, Shen [1 ]
Pan, Yingnan [2 ]
Lam, Hak-Keung [3 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Bohai Univ, Coll Math & Phys, Jinzhou 121013, Liaoning, Peoples R China
[3] Kings Coll London, Dept Informat, London WC2R 2LS, England
来源：
AUTOMATICA | 2015年 / 61卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Model reduction; Interval type-2 (IT2) fuzzy system; H-infinity performance; D stability constraints; NONLINEAR-SYSTEMS; STABILIZATION; DESIGN; TIME;
D O I：
10.1016/j.automatica.2015.08.020
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 investigates the problem of model reduction for interval type-2 (IT2) fuzzy systems subject to D stability constraints. The membership functions and the number of rules can be freely chosen and they are different between the original system and the reduced-order system. By introducing some slack matrices and utilizing Lyapunov stability theory, the existence condition of model reduction is obtained to guarantee that the reduced-order model can approximate the original system with an Ho, performance. The parameters of the reduced-order system in the condition can be obtained by standard software. Finally, some simulation results are provided to demonstrate the effectiveness of the proposed results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：308 / 314
页数：7
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