Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production | Zendy

Chunjin Wei | Zendy; Shuwen Zhang | Zendy; Lansun Chen | Zendy

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Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production

Author(s) -

Chunjin Wei,

Shuwen Zhang,

Lansun Chen

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/354095

Subject(s) - feedback control , dilution , control theory (sociology) , stability (learning theory) , fermentation , production (economics) , mathematics , steady state (chemistry) , work (physics) , state (computer science) , control (management) , chemistry , computer science , food science , physics , thermodynamics , engineering , macroeconomics , algorithm , control engineering , artificial intelligence , machine learning , economics

The work is the analysis of a mathematical model of cheese whey fermentation for single-cell protein production with impulsive state feedback control. Through the analysis, the sufficient conditions of existence and stability of positive order-1 periodic solution are obtained. It is shown that the system either tends to a stable state or has a periodic solution, which depends on the feedback state, the control parameter of the dilution rate, and the initial concentrate of microorganism and substrate. For some special cases, it is also shown that the system may exist in order-2 periodic solution. Furthermore, our findings are confirmed by means of numerical simulations

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