| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1888837 | Chaos, Solitons & Fractals | 2016 | 8 Pages |
•Ethanol fermentation model with the impulsive state feedback control is proposed.•Existence and stability of the order-1 or order-2 periodic solution are investigated.•The complete expression of the order-1 periodic solution is obtained.•Fermentation process can be effectively controlled by monitoring the impulsive period.
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.
