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.
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页码:48 / 62
页数:15
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