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Robust synchronization of unified chaotic systems via sliding mode control

Author

Listed:
  • Yan, Jun-Juh
  • Yang, Yi-Sung
  • Chiang, Tsung-Ying
  • Chen, Ching-Yuan

Abstract

This paper investigates the chaos synchronization problem for a class of uncertain master–slave unified chaotic systems. Based on the sliding mode control technique, a robust control scheme is established which guarantees the occurrence of a sliding motion of error states even when the parameter uncertainty and external perturbation are present. Furthermore, a novel proportional–integral (PI) switching surface is introduced for determining the synchronization performance of systems in the sliding mode motion. Simulation results are proposed to demonstrate the effectiveness of the method.

Suggested Citation

  • Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:947-954
    DOI: 10.1016/j.chaos.2006.04.003
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    References listed on IDEAS

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    1. Tao, Chaohai & Xiong, Hongxia & Hu, Feng, 2006. "Two novel synchronization criterions for a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 115-120.
    2. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A new observer-based synchronization scheme for private communication," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1025-1030.
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    Cited by:

    1. Cai, Na & Jing, Yuanwei & Zhang, Siying, 2009. "Generalized projective synchronization of different chaotic systems based on antisymmetric structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1190-1196.
    2. Yao, Qijia, 2021. "Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Chen, Qun & Li, Bo & Yin, Wei & Jiang, Xiaowei & Chen, Xiangyong, 2023. "Bifurcation, chaos and fixed-time synchronization of memristor cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    4. Chen, Heng-Hui & Lee, Ching-I & Yang, Pao-Hwa, 2009. "Adaptive synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 598-606.
    5. Farivar, Faezeh & Aliyari Shoorehdeli, Mahdi & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2012. "Chaos control and generalized projective synchronization of heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive variable structure control," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 80-97.
    6. Shang, Li-Jen & Shyu, Kuo-Kai, 2009. "A method for extracting chaotic signal from noisy environment," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1120-1125.
    7. Yao, Qijia & Alsaade, Fawaz W. & Al-zahrani, Mohammed S. & Jahanshahi, Hadi, 2023. "Fixed-time neural control for output-constrained synchronization of second-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.
    9. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.
    10. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Jinping Liu & Abdullah A. Al-Barakati, 2023. "Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations," Mathematics, MDPI, vol. 11(14), pages 1-14, July.
    11. Lin, Shih-Lin & Tung, Pi-Cheng, 2009. "A new method for chaos control in communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3234-3241.
    12. Posadas-Castillo, C. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2009. "Experimental realization of synchronization in complex networks with Chua’s circuits like nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1963-1975.
    13. Pai, Ming-Chang, 2015. "Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 757-767.
    14. Yao, Qijia, 2021. "Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    15. Aguilar-Bustos, A.Y. & Cruz-Hernández, C., 2009. "Synchronization of discrete-time hyperchaotic systems: An application in communications," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1301-1310.

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