TANG Lin-jun, LI Dong, WANG Han-xing. Lag Synchronization for Fuzzy Chaotic System Based on Fuzzy Observer[J]. Applied Mathematics and Mechanics, 2009, 30(6): 750-756. doi: 10.3879/j.issn.1000-0887.2009.06.015
Citation: TANG Lin-jun, LI Dong, WANG Han-xing. Lag Synchronization for Fuzzy Chaotic System Based on Fuzzy Observer[J]. Applied Mathematics and Mechanics, 2009, 30(6): 750-756. doi: 10.3879/j.issn.1000-0887.2009.06.015

Lag Synchronization for Fuzzy Chaotic System Based on Fuzzy Observer

doi: 10.3879/j.issn.1000-0887.2009.06.015
  • Received Date: 2008-08-03
  • Rev Recd Date: 2009-05-04
  • Publish Date: 2009-06-15
  • A new fuzzy observer for lag synchronization was given.By investigating synchronization of chaotic systems,the structure of drive response lag synchronization for fuzzy chaos system based on fuzzy observer was proposed,and a new lag synchronization criterion was derived by Liapunov sta bility theorem,in which control gains are obtained by LMI condition.The proposed approach is applied to well known Chens systems.And simulation example is presented to illustrate its effectiveness.
  • loading
  • [1]
    Cuomo K M,Oppenheim A V,Strogatz S H.Synchronization of Lorenz-based chaotic circuits with applications to communications[J].IEEE Trans Circuits System,1993,40(10):626-633.
    [2]
    Fujino H,Ohtsubo H.Experimental synchronization of chaotic oscillations in external-cavity semiconductor lasers[J].Optics Letters,2000,25(9):625-627. doi: 10.1364/OL.25.000625
    [3]
    Ahlers V,Parlitz U,Lauterborn W.Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers[J]. Physical Review E,1998,58(6):7208-7213. doi: 10.1103/PhysRevE.58.7208
    [4]
    Shahverdiev E M.Lag synchronization in time-delayed systems[J].Physics Letters A,2002,292(4/6):320-324. doi: 10.1016/S0375-9601(01)00824-6
    [5]
    Barsella A,Lepers C.Chaotic lag synchronization and pulse-induced transient chaos in lasers coupled by saturable absorber[J].Optics Communications,2002,205(4/6):397-403. doi: 10.1016/S0030-4018(02)01362-7
    [6]
    Li C D,Liao X F.Lag synchronization of Rossler system and Chua circuit via a scalar signal[J].Physics Letters A,2004,329(4/5):301-308. doi: 10.1016/j.physleta.2004.06.077
    [7]
    Li C D,Liao X F,Wong K W.Lag synchronization of hyperchaos with application to secure communications[J].Chaos, Solitons and Fractals,2005,23(1):183-193. doi: 10.1016/j.chaos.2004.04.025
    [8]
    Tanaka K,Ikeda T,Wang H O.Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs[J]. IEEE Trans Fuzzy Syst,1998,6(2):250-265. doi: 10.1109/91.669023
    [9]
    Tanaka K,Sano M.On the concept of fuzzy regulators and fuzzy observers[A].In:Proceedings of Third IEEE International Conference on Fuzzy Systems[C].2.Piscataway,NT:IEEE,1994,767-772.
    [10]
    Tanaka K,Ikeda T,Wang H O.Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs[J].IEEE Trans Fuzzy Syst,1998,6(2):250-265. doi: 10.1109/91.669023
    [11]
    Barajas-Ramirez J G,Chen G R,Shieh L S.Sampled-data chaos synchronization via fuzzy observer design[A].In:Proceedings of the IEEE Inter Symposium on Intelligent Control[C].11.Piscataway,NT:IEEE,2003,241-245.
    [12]
    Lian K Y,Chiu C S,Chiang T S. LMI-based fuzzy chaotic synchronization and communications[J].IEEE Trans Fuzzy Syst,2001,9(4):539-553. doi: 10.1109/91.940967
    [13]
    Li C D,Liao X F.Complete and lag synchronization of hyperchaotic systems using small impulses[J].Chaos Solitons and Fractals,2004,22(4):857-867. doi: 10.1016/j.chaos.2004.03.006
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1445) PDF downloads(701) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return