Adaptive robust control of fractional-order systems with matched and mismatched disturbances

被引：12

作者：

Jonathan Munoz-Vazquez, Aldo ^{[1
]}

Benjamin Ortiz-Moctezuma, Manuel ^{[2
]}

Sanchez-Orta, Anand ^{[3
]}

Parra-Vega, Vicente ^{[3
]}

机构：

[1] Autonomous Univ Chihuahua, CONACYT, Sch Engn, Campus 2, Chihuahua, Mexico

[2] Polytech Univ Victoria, Mechatron Engn, Ciudad Victoria Tamaulip, Mexico

[3] Res Ctr Adv Studies, Robot & Advances Mfg, Saltillo Coahuila, Mexico

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 162卷

关键词：

Adaptive control; Fractional-order systems; Mittag-Leffler stability; Disturbance rejection; Identification; QUADRATIC LYAPUNOV FUNCTIONS; STABILITY; STABILIZATION; MODEL;

D O I：

10.1016/j.matcom.2019.01.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper proposes an adaptive control method for the robust stabilization of a general class of fractional-order systems, which are subject to matched and mismatched disturbances. The control design is based on a nominal linear-time-invariant system, and the deviation from such a model is considered as the disturbance, which is decoupled as the sum of a matched and a mismatched disturbance. The controller is proposed as the combination of an adaptive robust controller that compensates for the matched disturbance, and a nominal controller that is based on a linear matrix inequality, in order to enforce the Mittag-Leffler stability of the pseudo-state, even in the presence of the mismatched disturbance. Numerical simulations are conducted to show the reliability of the proposed scheme. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：85 / 96

页数：12

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