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State estimation of chaotic Lurie system with logarithmic quantization

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  • Zheng, Juanhui
  • Cui, Baotong

Abstract

In this paper, we address the problem of state estimation of the Lurie system via the communication channel in the case of only this system outputs available. A coder-decoder scheme combines with a logarithmic quantization to form a novel and reliable communication channel. The errors between Lurie system outputs and observer outputs are regarded as the feedback signals, which are transmitted into the observer though the communication channel. A sufficient condition for input-to-state stability is given for the boundedness of the error of state estimation. The results of two examples show the effectiveness and superiority of the proposed communication channel of the logarithmic quantization.

Suggested Citation

  • Zheng, Juanhui & Cui, Baotong, 2018. "State estimation of chaotic Lurie system with logarithmic quantization," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 141-148.
    • Handle: RePEc:eee:chsofr:v:112:y:2018:i:c:p:141-148
    DOI: 10.1016/j.chaos.2018.04.038
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    References listed on IDEAS

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    1. Cao, Jinde & Li, H.X. & Ho, Daniel W.C., 2005. "Synchronization criteria of Lur’e systems with time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1285-1298.
    2. Zhang, Yinping & Sun, Jitao, 2009. "Impulsive robust fault-tolerant feedback control for chaotic Lur’e systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1440-1446.
    3. Hao Wu & Wei Wang & Hao Ye, 2015. "Robust state estimation for linear systems with parametric uncertainties and quantised measurements," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 526-534, February.
    4. Zhu, Fanglai, 2009. "Observer-based synchronization of uncertain chaotic system and its application to secure communications," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2384-2391.
    5. Liu, Bin & Chen, Guanrong & Teo, Kok Lay & Liu, Xinzhi, 2005. "Robust global exponential synchronization of general Lur’e chaotic systems subject to impulsive disturbances and time delays," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1629-1641.
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    Cited by:

    1. Abinandhitha, R. & Monisha, S. & Sakthivel, R. & Manikandan, R. & Saat, S., 2023. "Proportional integral observer-based input–output finite-time stabilization for chaotic semi-Markov jump fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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