A single adaptive controller with one variable for synchronization of fractional-order chaotic systems

被引：6

作者：

Zhang Ruo-Xun ^{[1
,2
]}

Yang Shi-Ping ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Phys Sci & Informat Engn, Shijiazhuang 050016, Peoples R China

[2] Xingtai Univ, Coll Elementary Educ, Xingtai 054001, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 08期

关键词：

adaptive control; fractional-order chaotic system; a single controller; SCALAR TRANSMITTED SIGNAL; DYNAMICS; SIMULATION;

D O I：

10.1088/1674-1056/21/8/080505

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on the Lyapunov stability theory and adaptive control technique, a single adaptive-feedback controller is developed to synchronize a class of fractional-order chaotic systems. The presented controller which only contains a single driving variable is simple both in design and in implementation. Numerical simulation and circuit experimental results for fractional-order chaotic system are provided to illustrate the effectiveness of the proposed scheme.

引用

页数：7

共 50 条

[1] A single adaptive controller with one variable for synchronization of fractional-order chaotic systems
张若洵
杨世平
[J]. Chinese Physics B, 2012, 21 (08) : 100 - 106
[2] Synchronization of Chaotic Fractional-order Systems via Fractional-Order Adaptive Controller
Fayazi, Ali
[J]. EMERGING SYSTEMS FOR MATERIALS, MECHANICS AND MANUFACTURING, 2012, 109 : 333 - 339
[3] Adaptive synchronization of fractional-order chaotic systems via a single driving variable
Zhang, Ruoxun
Yang, Shiping
[J]. NONLINEAR DYNAMICS, 2011, 66 (04) : 831 - 837
[4] Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems
张若洵
杨世平
[J]. Chinese Physics B, 2012, (03) : 126 - 130
[5] Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems
Zhang Ruo-Xun
Yang Shi-Ping
[J]. CHINESE PHYSICS B, 2012, 21 (03)
[6] Design of an new adaptive controller for synchronization of fractional-order chaotic systems
Shao, Keyong
Guo, Haoxuan
Han, Feng
Yuan, Mengyu
[J]. 2018 EIGHTH INTERNATIONAL CONFERENCE ON INSTRUMENTATION AND MEASUREMENT, COMPUTER, COMMUNICATION AND CONTROL (IMCCC 2018), 2018, : 1438 - 1441
[7] Response to the comments on “Adaptive synchronization of fractional-order chaotic systems via a single driving variable”
Ruoxun Zhang
Shiping Yang
[J]. Nonlinear Dynamics, 2011, 66 : 843 - 844
[8] Synchronization of uncertain fractional-order chaotic systems via a novel adaptive controller
Luo, Runzi
Su, Haipeng
Zeng, Yanhui
[J]. CHINESE JOURNAL OF PHYSICS, 2017, 55 (02) : 342 - 349
[9] Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems
Pan Guang
Wei Jing
[J]. ACTA PHYSICA SINICA, 2015, 64 (04)
[10] Synchronization of the Chaotic Fractional-Order Genesio–Tesi Systems Using the Adaptive Sliding Mode Fractional-Order Controller
Tabasi M.
Balochian S.
[J]. Journal of Control, Automation and Electrical Systems, 2018, 29 (1) : 15 - 21

← 1 2 3 4 5 →