Robust fuzzy Lyapunov stabilization for uncertain and disturbed Takagi-Sugeno descriptors

被引：63

作者：

Bouarar, T. ^{[1
]}

Guelton, K. ^{[1
]}

Manamanni, N. ^{[1
]}

机构：

[1] Univ Reims, CReSTIC, EA3804, F-51687 Reims 2, France

来源：

ISA TRANSACTIONS | 2010年 / 49卷 / 04期

关键词：

Takagi-Sugeno; Redundancy; Descriptors; Robust fuzzy control; Non-quadratic; Fuzzy Lyapunov function; LMI; H-infinity criterion; CONTROL-SYSTEM DESIGN; NONLINEAR-SYSTEMS; QUADRATIC STABILITY; FORM; LMI;

D O I：

10.1016/j.isatra.2010.06.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, new robust H-infinity controller design methodologies for Takagi-Sugeno (T-S) descriptors considered. Based on Linear Matrix Inequalities, two different approaches are proposed. The first involves a "classical closed-loop dynamics" formulation and the second one a "redundancy dynamics" approach. The provided conditions are obtained through a fuzzy Lyapunov function and a non-PDC control law. Both the classical and redundancy approaches are compared. It is that the latter leads to less conservative stability conditions. The efficiency of the proposed control approaches for T-S descriptors as well as the benefit of the redundancy approach are shown through an academic example. Then, to show the applicability of the proposed approaches, the stabilization of an inverted pendulum on a cart is considered. (C) 2010 ISA. Published by Elsevier Ltd. All rights

引用

页码：447 / 461

页数：15

共 43 条

[11] An alternative to inverse dynamics joint torques estimation in human stance based on a Takagi-Sugeno unknown-inputs observer in the descriptor form [J].