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H∞ synchronization of chaotic systems using output feedback control design

Author

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  • Hou, Yi-You
  • Liao, Teh-Lu
  • Yan, Jun-Juh

Abstract

This article investigates the H∞ synchronization problem for a general class of chaotic systems. Based on Lyapunov theory, linear matrix inequality (LMI) and linear matrix equality (LME) formulation, the output feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H∞-norm constraint. Two illustrative examples are provided to demonstrate the effectiveness of the developed theoretical results.

Suggested Citation

  • Hou, Yi-You & Liao, Teh-Lu & Yan, Jun-Juh, 2007. "H∞ synchronization of chaotic systems using output feedback control design," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 81-89.
    • Handle: RePEc:eee:phsmap:v:379:y:2007:i:1:p:81-89
    DOI: 10.1016/j.physa.2006.12.033
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    Citations

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    Cited by:

    1. Asemani, Mohammad Hassan & Majd, Vahid Johari, 2009. "Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1126-1135.
    2. Wang, Liming & Wu, Kai-Ning & Zhu, Ya-Nan & Ding, Xiaohua, 2016. "Mean square H∞ synchronization of coupled stochastic partial differential systems," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 386-393.
    3. Zhang, Zhi-Ming & He, Yong & Wu, Min & Wang, Qing-Guo, 2017. "Exponential synchronization of chaotic neural networks with time-varying delay via intermittent output feedback approach," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 121-132.
    4. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
    5. Karimi, Hamid Reza & Maass, Peter, 2009. "Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1125-1135.
    6. Cheng, Chun-Kai & Kuo, Hang-Hong & Hou, Yi-You & Hwang, Chi-Chuan & Liao, Teh-Lu, 2008. "Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3093-3102.

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