Asymptotically necessary and sufficient conditions for Takagi-Sugeno models using generalized non-quadratic parameter-dependent controller design

被引:34
|
作者
Marquez, Raymundo [1 ,2 ]
Guerra, Thierry Marie [1 ]
Bernal, Miguel [2 ]
Kruszewski, Alexandre [3 ]
机构
[1] Univ Valenciennes & Hainaut Cambresis, F-59313 Le Mt Houy, Valenciennes, France
[2] Sonora Inst Technol, 5 Febrero 818 Sur, Obregon 85000, Mexico
[3] Ecole Cent Lille, CRIStAL UMR CNRS 9189, BP 48, F-59651 Lille, France
关键词
Takagi-Sugeno model; Non-quadratic Lyapunov function; Linear matrix inequality; Non -parallel distributed compensation; LYAPUNOV FUNCTION-APPROACH; FUZZY CONTROL; STABILITY CONDITIONS; QUADRATIC STABILITY; NONLINEAR-SYSTEMS; LOCAL STABILITY; LMI CONDITIONS; STABILIZATION; COMPENSATION; REDUCTION;
D O I
10.1016/j.fss.2015.12.012
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Results in this paper generalize recent approaches on non-quadratic controller design for Takagi-Sugeno models based on a matrix transformation. Conditions thus obtained depend on a single parameter which allows an efficient search of feasible solutions via linear matrix inequalities; moreover, they include and outperform former advances, such as Polya's approaches on the same framework. Some examples are included to illustrate the proposed generalization. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:48 / 62
页数:15
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