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Dynamic analysis of the ethanol fermentation with the impulsive state feedback control

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  • Zhao, Zhong
  • Kong, Yinchang
  • Chen, Ying

Abstract

To keep a sustainable and steady output of ethanol, ethanol fermentation in a bio-reactor with impulsive state feedback control is formulated. The sufficient conditions for existences of order-1 periodic solution and order-2 periodic solution are obtained by using the properties of the periodic solution. The results imply that ethanol fermentation tends to an order-1 periodic solution or order-2 periodic solution. At the same time, we also give the complete expression of the period of the positive period-1 solution. Finally, discussions and numerical simulations are given.

Suggested Citation

  • Zhao, Zhong & Kong, Yinchang & Chen, Ying, 2016. "Dynamic analysis of the ethanol fermentation with the impulsive state feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 274-281.
    • Handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:274-281
    DOI: 10.1016/j.chaos.2015.10.003
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    References listed on IDEAS

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    1. Jiang, Guirong & Lu, Qishao & Qian, Linning, 2007. "Complex dynamics of a Holling type II prey–predator system with state feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 448-461.
    2. Jiang, Guirong & Lu, Qishao & Qian, Linning, 2007. "Chaos and its control in an impulsive differential system," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1135-1147.
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    Cited by:

    1. Zhu, Chenhong & Li, Xiaodi & Wang, Kening, 2020. "An anti-windup approach for nonlinear impulsive system subject to actuator saturation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).

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