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

Zhong Zhao, Yinchang Kong and Ying Chen

Chaos, Solitons & Fractals, 2016, vol. 83, issue C, 274-281

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.

Keywords: Feedback control; Stability of the periodic solution; Order-1 periodic solution; Order-2 periodic solution (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:83:y:2016:i:c:p:274-281

DOI: 10.1016/j.chaos.2015.10.003

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