The control of a class of uncertain fractional-order chaotic systems via reduced-order method

被引：6

作者：

Zeng, Yanhui ^{[1
]}

Luo, Runzi ^{[1
]}

Su, Haipeng ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China

来源：

OPTIK | 2016年 / 127卷 / 24期

基金：

中国国家自然科学基金;

关键词：

Fractional-order chaotic system; Chaos control; Reduced-order method; PROJECTIVE SYNCHRONIZATION; ROSSLER SYSTEM; DIFFERENTIAL-EQUATIONS; LYAPUNOV FUNCTIONS; OBSERVER;

D O I：

10.1016/j.ijleo.2016.09.092

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper we mainly discuss the control of a class of 3,4-dimensional fractional-order chaotic systems with unknown parameter, model uncertainties and external disturbances. Based on the fractional-order extension of Lyapunov stability theorem some novel criteria for the control of a class of 3,4-dimensional fractional-order chaotic systems are proposed via reduced-order method. Moreover, by using our results the control and synchronization of the fractional-order Rossler system is also investigated. Numerical simulations are shown to further verify the feasibility of the presented control schemes. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：11948 / 11959

页数：12

共 50 条

[31] Design of fractional robust adaptive intelligent controller for uncertain fractional-order chaotic systems based on active control technique [J].

Bigdeli, Nooshin ;

Ziazi, Hossein Alinia .

NONLINEAR DYNAMICS, 2017, 87 (03) :1703-1719

[32] Elaboration of a generalized approach to control and to synchronize the fractional-order chaotic systems [J].

Soukkou, Ammar ;

Leulmi, Salah .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2017, 46 (08) :853-878

[33] Adaptive track control for fractional-order chaotic systems with or without uncertainty [J].

Li, Ruihong .

OPTIK, 2016, 127 (23) :11263-11276

[34] Projective synchronization of two different fractional-order chaotic systems via adaptive fuzzy control [J].

Bouzeriba, A. ;

Boulkroune, A. ;

Bouden, T. .

NEURAL COMPUTING & APPLICATIONS, 2016, 27 (05) :1349-1360

[35] Synchronization of Different Dimensions Fractional-Order Chaotic Systems with Uncertain Parameters and Secure Communication [J].

Vafaei, Vajiheh ;

Kheiri, Hossein ;

Akbarfam, Aliasghar Jodayree .

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (05) :57-72

[36] Tracking control for uncertain fractional-order chaotic systems based on disturbance observer and neural network [J].

Shao, Shuyi ;

Chen, Mou ;

Wu, Qingxian .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (03) :1011-1030

[37] Fractional-Order Sliding Mode Control Method for a Class of Integer-Order Nonlinear Systems [J].

Qing, Wenjie ;

Pan, Binfeng ;

Hou, Yueyang ;

Lu, Shan ;

Zhang, Wenjing .

AEROSPACE, 2022, 9 (10)

[38] Sliding Mode Synchronization for a Class of Uncertain Fractional Order Chaotic Systems [J].

Ma, Xiaoxia ;

Hou, Bing ;

Xu, Jin ;

Liu, Heng .

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 42 (12) :370-378

[39] Active control technique of fractional-order chaotic complex systems [J].

Mahmoud, Gamal M. ;

Ahmed, Mansour E. ;

Abed-Elhameed, Tarek M. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (06)

[40] Terminal observer and disturbance observer for the class of fractional-order chaotic systems [J].

Mohammad Reza Soltanpour ;

Mehrdad Shirkavand .

Soft Computing, 2020, 24 :8881-8898

← 1 2 3 4 5 →