Projective synchronization of fractional-order chaotic systems based on sliding mode control

Liu Ding; Yan Xiao-Mei

doi:10.7498/aps.58.3747

Abstract
For the projective synchronization of fractional-order chaotic systems，a controller based on active sliding mode theory is presented. Based on the stability theory of fractional-order linear system，stability of the proposed method is analysed. Two cases of projective synchronization，i.e.identical fractional-order Liu-Liu systems and different fractional-order Chen-Liu systems，are implemented separately. The simulation results show the effectiveness of the proposed controller.

Keywords:
fractional-order chaotic system /

sliding mode control /

projective synchronization
Authors and contacts
Liu Ding,

Yan Xiao-Mei

1.
西安理工大学自动化与信息工程学院，西安 710048
References

Cited By

[1]	Chen Ye, Li Sheng-Gang, Liu Heng. Synchronization of fractional-order chaotic systems based on adaptive fuzzy control. Acta Physica Sinica, 2016, 65(17): 170501. doi: 10.7498/aps.65.170501
[2]	Liu Heng, Li Sheng-Gang, Sun Ye-Guo, Wang Hong-Xing. Adaptive fuzzy synchronization for uncertain fractional-order chaotic systems with unknown non-symmetrical control gain. Acta Physica Sinica, 2015, 64(7): 070503. doi: 10.7498/aps.64.070503
[3]	Pan Guang, Wei Jing. Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems. Acta Physica Sinica, 2015, 64(4): 040505. doi: 10.7498/aps.64.040505
[4]	Wang Bin, Wu Chao, Zhu De-Lan. A new double-wing fractional-order chaotic system and its synchronization by sliding mode. Acta Physica Sinica, 2013, 62(23): 230506. doi: 10.7498/aps.62.230506
[5]	Huang Li-Lian, Qi Xue. The synchronization of fractional order chaotic systems with different orders based on adaptive sliding mode control. Acta Physica Sinica, 2013, 62(8): 080507. doi: 10.7498/aps.62.080507
[6]	Ma Tie-Dong, Jiang Wei-Bo, Fu Jie, Xue Fang-Zheng. Synchronization of hyperchaotic systems via improved impulsive control method. Acta Physica Sinica, 2012, 61(10): 100507. doi: 10.7498/aps.61.100507
[7]	Ma Tie-Dong, Jiang Wei-Bo, Fu Jie. Impulsive synchronization of fractional order hyperchaotic systems based on comparison system. Acta Physica Sinica, 2012, 61(9): 090503. doi: 10.7498/aps.61.090503
[8]	Li Yu-San, Wei Lin-Ling, Yu Miao, Zhang Meng. Chaos synchronization of regular network based on sliding mode control. Acta Physica Sinica, 2012, 61(12): 120504. doi: 10.7498/aps.61.120504
[9]	Huang Li-Lian, Ma Nan. A new method for projective synchronization of different fractional order chaotic systems. Acta Physica Sinica, 2012, 61(16): 160510. doi: 10.7498/aps.61.160510
[10]	Hu Jian-Bing, Xiao Jian, Zhao Ling-Dong. Synchronizing fractional chaotic systems with different orders. Acta Physica Sinica, 2011, 60(11): 110515. doi: 10.7498/aps.60.110515
[11]	Li Hua-Qing, Liao Xiao-Feng, Huang Hong-Yu. Synchronization of uncertain chaotic systems based on neural network and sliding mode control. Acta Physica Sinica, 2011, 60(2): 020512. doi: 10.7498/aps.60.020512
[12]	Sun Ning, Zhang Hua-Guang, Wang Zhi-Liang. Fractional sliding mode surface controller for projective synchronization of fractional hyperchaotic systems. Acta Physica Sinica, 2011, 60(5): 050511. doi: 10.7498/aps.60.050511
[13]	Zhang Ruo-Xun, Cao He-Fei. Adaptive synchronization of fractional-order chaotic system via sliding mode control. Acta Physica Sinica, 2011, 60(5): 050510. doi: 10.7498/aps.60.050510
[14]	Zhou Ping, Kuang Fei. Synchronization between fractional-order chaotic system and chaotic system of integer orders. Acta Physica Sinica, 2010, 59(10): 6851-6858. doi: 10.7498/aps.59.6851
[15]	Fu Shi-Hui, Pei Li-Jun. Chaotic synchronization of Chua’s circuits with nonlinear control. Acta Physica Sinica, 2010, 59(9): 5985-5989. doi: 10.7498/aps.59.5985
[16]	Hu Jian-Bing, Han Yan, Zhao Ling-Dong. Synchronizing fractional chaotic systems based on Lyapunov equation. Acta Physica Sinica, 2008, 57(12): 7522-7526. doi: 10.7498/aps.57.7522
[17]	Wang Xing-Yuan, He Yi-Jie. Projective synchronization of the fractional order unified system. Acta Physica Sinica, 2008, 57(3): 1485-1492. doi: 10.7498/aps.57.1485
[18]	Liu Fu-Cai, Song Jia-Qiu. Anti-synchronizing different chaotic systems using active sliding mode control. Acta Physica Sinica, 2008, 57(8): 4729-4737. doi: 10.7498/aps.57.4729
[19]	. Controlling projective synchronization in coupled fractional order chaotic Chen system. Acta Physica Sinica, 2007, 56(12): 6815-6819. doi: 10.7498/aps.56.6815
[20]	Liu Jie, Chen Shi-Hua, Lu Jun-An. Projective synchronization in a unified chaotic system and its control. Acta Physica Sinica, 2003, 52(7): 1595-1599. doi: 10.7498/aps.52.1595

Catalog

Vol. 58, Issue 6 - 2009-03-20

Metrics

Abstract views: 7685
PDF Downloads: 1410
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Projective synchronization of fractional-order chaotic systems based on sliding mode control

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Projective synchronization of fractional-order chaotic systems based on sliding mode control

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About