LMI-Based Approach for Output-Feedback Stabilization for Discrete-Time Takagi-Sugeno Systems

被引：60

作者：

Nachidi, Meriem ^{[1
]}

Benzaouia, Abdellah ^{[2
]}

Tadeo, Fernando ^{[1
]}

Rami, Mustapha Ait ^{[1
]}

机构：

[1] Univ Valladolid, Dept Ingn Sistemas & Automat, E-47002 Valladolid, Spain

[2] Univ Cadi Ayyad, Dept Phys, Res Unit Constrained & Robust Regulat, Marrakech 40000, Morocco

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2008年 / 16卷 / 05期

关键词：

Cone complementarity formulation; linear matrix inequalities (LMIs); Lyapunov function; nonlinear systems; Takagi-Sugeno (T-S) fuzzy model;

D O I：

10.1109/TFUZZ.2008.924338

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Static output-feedback stabilizing controllers for nonlinear systems represented by discrete-time Takagi-Sugeno fuzzy models are studied. The main result concerns the stabilization based on the parallel distributed compensation (PDC) approach. Sufficient conditions are provided for quadratic and nonquadratic stability. To design static output-feedback stabilizing controllers, a numerical procedure based on the cone complementarity algorithm is given. It is shown that the relaxed conditions proposed in the nonquadratic case outperform those for the quadratic case. Two numerical examples are given to illustrate the efficiency of the proposed approach.

引用

页码：1188 / 1196

页数：9

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