Robust Adaptive Control for Fractional-Order Financial Chaotic Systems with System Uncertainties and External Disturbances

被引：29

作者：

Liu, Heng ^{[1
,2
]}

Li, Shenggang ^{[2
]}

Li, Guanjun ^{[1
]}

Wang, Hongxing ^{[1
]}

机构：

[1] Huainan Normal Univ, Dept Appl Math, Huainan 232038, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China

来源：

INFORMATION TECHNOLOGY AND CONTROL | 2017年 / 46卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Robust control; fractional-order financial system; fractional-order chaotic system; fractional-order adaptation law; INFINITY TRACKING CONTROL; PROJECTIVE SYNCHRONIZATION; NONLINEAR DYNAMICS; LYAPUNOV FUNCTIONS; SLIDING MODE; ATTRACTORS; STABILITY;

D O I：

10.5755/j01.itc.46.2.13972

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, robust adaptive control for uncertain fractional-order financial chaotic systems with bounded unknown external disturbances is studied. By utilizing the fractional-order extension of the classical Lyapunov stability methods, an adaptive controller is presented for controlling the fractional-order financial chaotic system. Quadratic Lyapunov functions are employed in the stability analysis, and fractional-order adaptation laws are designed to update controller parameters online. The proposed controller can ensure that the system states converge to the origin asymptotically and all signals in the closed-loop system remain bounded. Finally, simulation results are presented to confirm our theoretical results.

引用

页码：246 / 259

页数：14

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