On stability analysis of nonlinear discrete singularly perturbed T-S fuzzy models

被引:0
|
作者
Sfaihi B. [1 ]
Benrejeb M. [1 ]
机构
[1] Laboratoire de Recherche en Automatique (LARA), Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, B.P. 37, Tunis
关键词
Arrow form matrix; Discrete T-S fuzzy model; Order reduction; Singularly perturbed systems; Stability; Vector norms;
D O I
10.1007/s40435-013-0003-3
中图分类号
学科分类号
摘要
This paper investigates the stability problem of a class of discrete-time singularly perturbed Tagagi–Sugeno (T-S) fuzzy models. Stability conditions of reduced slow models, based on the use of Borne and Gentina practical stability criterion and matrices in the arrow form, are developed and compared with those concerning the initial singularly perturbed T-S system. The obtained results are practical and easy to use. An example is introduced to illustrate the proposed approaches. © 2013, Springer-Verlag Berlin Heidelberg.
引用
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页码:20 / 31
页数:11
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