Adaptive Control and Synchronization for a Class of Nonlinear Fractional Order Systems with Uncertainty

被引：0
|
作者：
雷华静 [1 ]
寇春海 [1 ]
蔡锐阳 [2 ]
何彬彬 [3 ]
机构：
[1] College of Science,Donghua University
[2] College of Information Science and Technology,Donghua University
[3] College of Urban Railway Transportation,Shanghai University of Engineering Science
来源：
Journal of Donghua University(English Edition) | 2019年 / 36卷 / 04期
基金：
上海市自然科学基金;
关键词：
adaptive control; synchronization; backstepping method; fractional order system; uncertainty;
D O I：
10.19884/j.1672-5220.2019.04.012
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
This paper investigates the design of adaptive control for a class of nonlinear fractional order systems with multiple unknown parameters. By using the adaptive backstepping method and fractional Lyapunov method, an adaptive feedback controller is proposed to stabilize the closed-loop system. The parameter estimation adaptive law is also obtained. Moreover, these results are applied to the master-slave configuration synchronization of the studied systems. Finally, numerical simulation is provided to demonstrate the effectiveness of our results.
引用
收藏
页码：405 / 412
页数：8
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