LMI STABILITY TEST FOR FRACTIONAL ORDER INITIALIZED CONTROL SYSTEMS

被引：0

作者：

Lopez-Renteria, J. A. ^{[1
,3
]}

Aguirre-Hernandez, B. ^{[2
]}

Fernandez-Anaya, G. ^{[3
]}

机构：

[1] CONACYT, TecNM Inst Tecnol Tijuana, Dept Ingn Elect & Elect, Blvd Ind S-N, Tijuana 22414, BC, Mexico

[2] Univ Autonoma Metropolitana, Dept Matemat, Ave San Rafael Atlixco 186, Mexico City 09340, DF, Mexico

[3] Univ Iberoamer, Dept Fis & Matemat, Prolongac Paseo Reforma 880, Mexico City 01219, DF, Mexico

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2019年 / 18卷 / 01期

关键词：

Fractional Systems; Robust Feedback Stabilization; Linear Matrix Inequalities; Zeroes of Pseudo Polynomials; DIFFERENTIAL-EQUATIONS; RIEMANN-LIOUVILLES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work the argument principle is used to generalize some theorems of counting zeros for analytical functions. Due to these results, an algebraic test to determinate stability of fractional order systems based on a simple linear matrix inequality is developed. Moreover, a method to design a robust stabilizing linear feedback control for fractional order systems is developed, where the technique is based on the matrix inequalities established. Finally, the stability test and the design of the stabilizing control are applied to the fractional economic system model.

引用

页码：50 / 61

页数：12

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