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Based on the sliding mode variable structure control theory and the adaptive control technique, a single-state adaptive-feedback controller containing a novel fractional integral sliding surface is developed to synchronize a class of fractional-orderchaotic systems. According to the modulation-parameter principle, using single driving variable for a fractional order chaotic system, a kind of digital communication scheme is presented. The results of the circuit stimulation and the circuit experiment show that the information can be received and sent successfully, which demonstrates the feasibility and the effectiveness of the scheme.
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Keywords:
- fractional-order chaotic system /
- single controller /
- adaptive synchronization /
- parameter modulation
[1] Pecora L M, Carroll T L 1990 Phys.Review Lett. 64 821
[2] Yu S M,Lü J H, Leung H, Chen G R 2005 IEEE Trans.Circuits Syst. I 52 1459
[3] Li Y X 2008 J. Commu.29 46(in Chinese)[李育贤 2008 通信学报 29 46]
[4] Oppenheim A V, Wornell G W, Isabelle S H, Cuomo K M 1992 Proc.IEEEIGASSP 4117
[5] Kocarev L, Halle K S, Eckert K, Chua L O, Parlitz U 1992 Int.J.Bifur.Chaos 2709
[6] Dedieu H, Kennedy M P, Hasler M 1993 IEEE Trans. Circuits Systems II 40634
[7] Halle K S,Wu CW, ItohM, Chua L O 1993 Int.J.Bifur.Chaos 3469
[8] Sushchik M, Rulkov N, Larson L 2000 IEEE Commun.Lett. 4128
[9] Li J F, Li N, Lin H 2004 Acta Phys.Sin. 53 1694 (in Chinese)[李建芬,李农,林辉 2004 物理学报 53 1694]
[10] Zhang Z X, Yu S M 2010 Acta Phys.Sin. 59 3017 (in Chinese)[张朝霞,禹思敏 2010 物理学报 59 3017]
[11] Halle KS, Wu C W, ItohM, Chua L O 1993 Int.J.Bifur.Chaos 3 469
[12] Zhang R X, Yang S P 2008 Acta Phys.Sin. 57 6852 (in Chinese)[张若洵,杨世平 2008 物理学报 57 6852]
[13] Lu J G 2005 Chaos, Solitions &Fractals 26 1125
[14] Lu j j, Liu C X 2007 Chin. Phys. 16 1586
[15] Zhang R X, Yang S P 2009 Acta Phys.Sin. 58 2957 (in Chinese)[张若洵,杨世平 2009 物理学报 58 2957]
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[1] Pecora L M, Carroll T L 1990 Phys.Review Lett. 64 821
[2] Yu S M,Lü J H, Leung H, Chen G R 2005 IEEE Trans.Circuits Syst. I 52 1459
[3] Li Y X 2008 J. Commu.29 46(in Chinese)[李育贤 2008 通信学报 29 46]
[4] Oppenheim A V, Wornell G W, Isabelle S H, Cuomo K M 1992 Proc.IEEEIGASSP 4117
[5] Kocarev L, Halle K S, Eckert K, Chua L O, Parlitz U 1992 Int.J.Bifur.Chaos 2709
[6] Dedieu H, Kennedy M P, Hasler M 1993 IEEE Trans. Circuits Systems II 40634
[7] Halle K S,Wu CW, ItohM, Chua L O 1993 Int.J.Bifur.Chaos 3469
[8] Sushchik M, Rulkov N, Larson L 2000 IEEE Commun.Lett. 4128
[9] Li J F, Li N, Lin H 2004 Acta Phys.Sin. 53 1694 (in Chinese)[李建芬,李农,林辉 2004 物理学报 53 1694]
[10] Zhang Z X, Yu S M 2010 Acta Phys.Sin. 59 3017 (in Chinese)[张朝霞,禹思敏 2010 物理学报 59 3017]
[11] Halle KS, Wu C W, ItohM, Chua L O 1993 Int.J.Bifur.Chaos 3 469
[12] Zhang R X, Yang S P 2008 Acta Phys.Sin. 57 6852 (in Chinese)[张若洵,杨世平 2008 物理学报 57 6852]
[13] Lu J G 2005 Chaos, Solitions &Fractals 26 1125
[14] Lu j j, Liu C X 2007 Chin. Phys. 16 1586
[15] Zhang R X, Yang S P 2009 Acta Phys.Sin. 58 2957 (in Chinese)[张若洵,杨世平 2009 物理学报 58 2957]
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