Robust Stabilization of Linear and Nonlinear Fractional-Order Systems with Nonlinear Uncertain Parameters

被引：5
|
作者：
N'Doye, Ibrahima [1 ,2 ]
Zasadzinski, Michel [3 ]
Darouach, Mohamed [3 ]
Radhy, Nour-Eddine [2 ]
机构：
[1] Nancy Univ, Ctr Rech Automat Nancy CRAN, CNRS, IUT Longwy,UMR 7039, 186 Rue Lorraine, F-54400 Cosnes, France
[2] Univ Hassan 2, Fac Sci Ain Chock, Lab Microelectron Automat & Therm, Phys Mat Lab, Maarif, Casablanca, Morocco
[3] Univ Nancy 1, CNRS, Ctr Rech & Automat, CRAN UMR 7039, Nancy, France
来源：
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年
关键词：
Nonlinear fractional-order systems; generalization of Gronwall-Bellman lemma; linear matrix inequality (LMI); robust stabilization; parameter uncertainties; STABILITY;
D O I：
10.1109/CDC.2010.5717008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper presents the robust stabilization problem of linear and nonlinear fractional-order systems with nonlinear uncertain parameters. The uncertainty in the model appears in the form of combination of "additive perturbation" and "multiplicative perturbation". Sufficient conditions for robust stabilization of such linear and nonlinear fractional-order systems are presented in terms of linear matrix inequalities and using the new generalization of Gronwall-Bellman approach.
引用
收藏
页码：4275 / 4280
页数：6
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