Chin. Phys. Lett.  2002, Vol. 19 Issue (5): 632-635    DOI:
Original Articles |
Parameter Identification and Tracking of a Unified System
LU Jun-An1;TAO Chao-Hai1;LÜ Jin-Hu2;LIU Min1
1School of Mathematics and Statistics, Wuhan University, Wuhan 430072 2Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080
Cite this article:   
LU Jun-An, TAO Chao-Hai, LÜ et al  2002 Chin. Phys. Lett. 19 632-635
Download: PDF(559KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The unified chaotic system contains the Lorenz and the Chen systems as two dual systems at the two extremes of its parameter spectrum and the Lü system as a special case. The parameter identification and tracking problem of the unified system are further investigated. In particular, a novel controller is designed for avioding the divergence of the factor 1/x. Numerical simulations are provided to show the effectiveness of these methods.
Keywords: 05.45.Gg      05.45.Pq     
Published: 01 May 2002
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2002/V19/I5/0632
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LU Jun-An
TAO Chao-Hai
Jin-Hu
LIU Min
Related articles from Frontiers Journals
[1] Salman Ahmad, YUE Bao-Zeng. Bifurcation and Stability Analysis of the Hamiltonian–Casimir Model of Liquid Sloshing[J]. Chin. Phys. Lett., 2012, 29(6): 632-635
[2] Paulo C. Rech. Dynamics in the Parameter Space of a Neuron Model[J]. Chin. Phys. Lett., 2012, 29(6): 632-635
[3] LI Jian-Ping,YU Lian-Chun,YU Mei-Chen,CHEN Yong**. Zero-Lag Synchronization in Spatiotemporal Chaotic Systems with Long Range Delay Couplings[J]. Chin. Phys. Lett., 2012, 29(5): 632-635
[4] ZHENG Yong-Ai. Adaptive Generalized Projective Synchronization of Takagi-Sugeno Fuzzy Drive-response Dynamical Networks with Time Delay[J]. Chin. Phys. Lett., 2012, 29(2): 632-635
[5] LI Xian-Feng**, Andrew Y. -T. Leung, CHU Yan-Dong. Symmetry and Period-Adding Windows in a Modified Optical Injection Semiconductor Laser Model[J]. Chin. Phys. Lett., 2012, 29(1): 632-635
[6] JI Ying**, BI Qin-Sheng . SubHopf/Fold-Cycle Bursting in the Hindmarsh–Rose Neuronal Model with Periodic Stimulation[J]. Chin. Phys. Lett., 2011, 28(9): 632-635
[7] KADIR Abdurahman, WANG Xing-Yuan**, ZHAO Yu-Zhang . Generalized Synchronization of Diverse Structure Chaotic Systems[J]. Chin. Phys. Lett., 2011, 28(9): 632-635
[8] WANG Xing-Yuan**, QIN Xue, XIE Yi-Xin . Pseudo-Random Sequences Generated by a Class of One-Dimensional Smooth Map[J]. Chin. Phys. Lett., 2011, 28(8): 632-635
[9] Department of Physics, Eastern Mediterranean University, G. Magosa, N. Cyprus, Mersin 0, Turkey
. Chaos in Kundt Type-III Spacetimes[J]. Chin. Phys. Lett., 2011, 28(7): 632-635
[10] WANG Xing-Yuan**, REN Xiao-Li . Chaotic Synchronization of Two Electrical Coupled Neurons with Unknown Parameters Based on Adaptive Control[J]. Chin. Phys. Lett., 2011, 28(5): 632-635
[11] GUO Rong-Wei . Simultaneous Synchronization and Anti-Synchronization of Two Identical New 4D Chaotic Systems[J]. Chin. Phys. Lett., 2011, 28(4): 632-635
[12] SHI Si-Hong, YUAN Yong, WANG Hui-Qi, LUO Mao-Kang** . Weak Signal Frequency Detection Method Based on Generalized Duffing Oscillator[J]. Chin. Phys. Lett., 2011, 28(4): 632-635
[13] JIANG Nan**, CHEN Shi-Jian . Chaos Control in Random Boolean Networks by Reducing Mean Damage Percolation Rate[J]. Chin. Phys. Lett., 2011, 28(4): 632-635
[14] LI Qun-Hong**, CHEN Yu-Ming, QIN Zhi-Ying . Existence of Stick-Slip Periodic Solutions in a Dry Friction Oscillator[J]. Chin. Phys. Lett., 2011, 28(3): 632-635
[15] YANG Yang, WANG Cang-Long, DUAN Wen-Shan**, CHEN Jian-Min . Resonance and Rectification in a Two-Dimensional Frenkel–Kontorova Model with Triangular Symmetry[J]. Chin. Phys. Lett., 2011, 28(3): 632-635
Viewed
Full text


Abstract