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Abstract
The paper addressed the self-feedback control,dislocation feedback control and adaptive control strategies for a unified chaotic system.The strict theoretical proof was put forward,numerical simulations were provided to show the effectiveness of these methods.The deficiency of Ref.［10］ was also corrected.

Keywords:
unified chaotic system/

feedback/

adaptive control/

Routh-Hurwitz theorem/
Authors and contacts
Tao Chao-Hai,

Lu Jun-An

1.
References

Cited By

[1]	Lu Yong-Kun.Robust fractional-order proportional-derivative control of unified chaotic systems with parametric uncertainties. Acta Physica Sinica, 2015, 64(5): 050503.doi:10.7498/aps.64.050503
[2]	Zhang Wen-Ming, Li Xue, Liu Shuang, Li Ya-Qian, Wang Bo-Hua.Chaos and the control of multi-time delay feedback for some nonlinear relative rotation system. Acta Physica Sinica, 2013, 62(9): 094502.doi:10.7498/aps.62.094502
[3]	Yu Hai-Tao, Wang Jiang.Chaos synchronization of FitzHugh-Nagumo neurons via backstepping and adaptive dynamical sliding mode control. Acta Physica Sinica, 2013, 62(17): 170511.doi:10.7498/aps.62.170511
[4]	Wang Yue-Gang, Wen Chao-Bin, Yang Jia-Sheng, Zuo Zhao-Yang, Cui Xiang-Xiang.Adaptive control of chaotic systems based on model free method. Acta Physica Sinica, 2013, 62(10): 100504.doi:10.7498/aps.62.100504
[5]	Lu Yong-Kun.Active adaptive fuzzy integral sliding mode control for unified chaotic system with uncertainties and disturbance. Acta Physica Sinica, 2012, 61(22): 220504.doi:10.7498/aps.61.220504
[6]	Guo Hui-Jun, Liu Ding, Zhao Guang-Zhou.Active radial basis function sliding mode controller for unified chaotic system with disturbance and uncertainties. Acta Physica Sinica, 2011, 60(1): 010510.doi:10.7498/aps.60.010510
[7]	Wang Rui, Yang Hong.Fractional order chaotic system control based on feedback and multiple least square support vector machines. Acta Physica Sinica, 2011, 60(7): 070508.doi:10.7498/aps.60.070508
[8]	Shang Hui-Lin.Controlling fractal erosion of safe basins in a Helmholtz oscillator by delayed position feedback. Acta Physica Sinica, 2011, 60(7): 070501.doi:10.7498/aps.60.070501
[9]	Zhao Yan-Ying, Yang Ru-Ming.Using delayed feedback to control the band of saturation control in an auto-parametric dynamical system. Acta Physica Sinica, 2011, 60(10): 104304.doi:10.7498/aps.60.104304.2
[10]	Liu Fu-Cai, Li Jun-Yi, Zang Xiu-Feng.Anti-synchronization of different hyperchaotic systems based on adaptive active control and fractional sliding mode control. Acta Physica Sinica, 2011, 60(3): 030504.doi:10.7498/aps.60.030504
[11]	Zhao Ling-Dong, Hu Jian-Bing, Liu Xu-Hui.Adaptive tracking control and synchronization of fractional hyper-chaotic Lorenz system with unknown parameters. Acta Physica Sinica, 2010, 59(4): 2305-2309.doi:10.7498/aps.59.2305
[12]	Zhang Ruo-Xun, Yang Yang, Yang Shi-Ping.Adaptive synchronization of the fractional-order unified chaotic system. Acta Physica Sinica, 2009, 58(9): 6039-6044.doi:10.7498/aps.58.6039
[13]	Yan Sen-Lin.Controlling chaos in a semiconductor laser via photoelectric delayed negative-feedback. Acta Physica Sinica, 2008, 57(4): 2100-2106.doi:10.7498/aps.57.2100
[14]	Yan Sen-Lin.Control of chaos in a delayed feedback semiconductor laser via dual-wedges. Acta Physica Sinica, 2008, 57(5): 2827-2831.doi:10.7498/aps.57.2827
[15]	Liu Fu-Cai, Liang Xiao-Ming, Song Jia-Qiu.Adaptive dual-model control and synchronization of generalized Hénon chaotic systems. Acta Physica Sinica, 2008, 57(3): 1458-1464.doi:10.7498/aps.57.1458
[16]	Gao Xin, Liu Xing-Wen.Delayed fuzzy control of a unified chaotic system. Acta Physica Sinica, 2007, 56(1): 84-90.doi:10.7498/aps.56.84
[17]	Wang Dong-Feng.Genetic algorithm optimization based proportional-integral-derivative controller for unified chaotic system. Acta Physica Sinica, 2005, 54(4): 1495-1499.doi:10.7498/aps.54.1495
[18]	Gong Li-Hua.Study of chaos control based on adaptive pulse perturbation. Acta Physica Sinica, 2005, 54(8): 3502-3507.doi:10.7498/aps.54.3502
[19]	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
[20]	Tao Chao-Hai, Lu Jun-An, Lv Jin-Hu.. Acta Physica Sinica, 2002, 51(7): 1497-1501.doi:10.7498/aps.51.1497

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Vol. 52, Issue 2 - 2003-01-20

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