On the global stabilization of Takagi-Sugeno fuzzy cascaded systems

被引：15

作者：

Taieb, N. Hadj ^{[1
]}

Hammami, M. A. ^{[1
]}

Delmotte, F. ^{[2
]}

Ksontini, M. ^{[3
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

[2] Univ Artois, Arras, France

[3] Sfax Preparatory Inst Engn Studies, Sfax, Tunisia

来源：

NONLINEAR DYNAMICS | 2012年 / 67卷 / 04期

关键词：

Fuzzy systems; PDC controller; Cascaded systems; Lyapunov stability; NONLINEAR-SYSTEMS; STABILITY; DESIGN; OBSERVER; MODEL; LMI;

D O I：

10.1007/s11071-011-0193-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper deals with the problem of the global stabilization for a class of cascade nonlinear control systems. It is well known that, in general, the global asymptotic stability of the cascaded subsystems does not imply the global asymptotic stability of the composite closed-loop system. In this paper, we give additional sufficient conditions for the global stabilization of a cascade nonlinear system. In particular, we consider a class of Takagi-Sugeno (TS) fuzzy cascaded systems. Using the so-called parallel distributed compensation (PDC) controller, we prove that this class of systems can be globally asymptotically stable. An illustrative example is given to show the applicability of the main result.

引用

页码：2847 / 2856

页数：10

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