High-stability model for non-linear time-lag power system

A technology with strong stability and dynamic system, applied in the field of bioengineering, can solve problems such as not particularly mature, low yield, complex metabolic pathways, etc.

Active Publication Date: 2018-07-27
HUZHOU TEACHERS COLLEGE
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  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

[0002] Fermentation is the process of using microorganisms to generate and accumulate specific metabolites or bacteria. According to the different raw material supply methods and product output methods, fermentation can be divided into batch fermentation (batch culture), continuous fermentation (continuous culture) and batch flow Fed-batch culture. The continuous fermentation of microorganisms refers to the culture method of continuously injecting the substrate into the fermenter and continuously taking out the fermentation liquid from the fermenter. Considering the low cost of continuous fermentation, it is easy to automate Therefore, this fermentation method is more suitable for factories to produce 1,3-PD in large quantities. Domestic production of 1,3-PD by microbial fermentation is not particularly mature, and there are problems such as low production intensity, low yield, and high cost. Most complex biological processes can be expressed as multidimensional nonlinear complex dynamical systems in the form of differential equations
The production of 1,3-PD from glycerol by microbial fermentation is a complex process, which is divided into oxidation pathway and reduction pathway. Due to the many enzymes involved in the oxidation pathway, the metabolic pathway is complex. The fourteen-dimensional gene regulation nonlinear dynamic system For continuous fermentation, no one has comprehensively studied the identification of the most likely metabolic pathways and system parameters except for transmembrane transport

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  • High-stability model for non-linear time-lag power system
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  • High-stability model for non-linear time-lag power system

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Embodiment Construction

[0093] Based on the nonlinear time-delay dynamical system, the strong stability model is established. In the following formula, the multiplication sign "×" is represented by the symbol " ". The method for establishing the strong stability model includes the following steps:

[0094] In the first step, the following nonlinear time-delay dynamical system is established:

[0095]

[0096] where x(t)=[x 1 (t),...,x 8 (t)] T ∈R 8 is a continuous state variable, abbreviated as x, and its component x 1 (t),...,x 8 (t) are represented in t ∈ [0, t f ] The concentration of strain, extracellular glycerol, extracellular 1,3-PD, acetic acid, intracellular glycerol, intracellular trihydroxypropionic acid (3-HPA) and intracellular 1,3-PD in the fermenter at time. The state delay vector is defined as is the initial state of fermentation, is a known continuous differentiable initial function,

[0097]

[0098]

[0099] which is,

[0100] x τ (t):=[x 1 (t), x 2 (t), x ...

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Abstract

The invention relates to a high-stability model for a non-linear time-lag power system. According to the model, the concentration of extracellular 1,3-propylene glycol is taken as a performance index,the approximate stability of the non-linear time-lag power system and an intermittent fermentation system, relative errors of the concentration of intracellular and extracellular substances, the stability of the concentration of intracellular substances and the like are taken as main constraint conditions, and the high-stability model is established. According to the high-stability model, the non-linear time-lag power system is established and converted into a linear variational equation, a method for linearly processing a non-linear problem is established, the non-linear time-lag power system is better solved, the condition of the high-stability model for the non-linear time-lag power system is provided, and the existence solution method of the high-stability model is given.

Description

technical field [0001] The invention belongs to the technical field of bioengineering, and in particular relates to a strong stability model of a nonlinear time-delay dynamical system. Background technique [0002] Fermentation is the process of using microorganisms to generate and accumulate specific metabolites or bacteria. According to the different raw material supply methods and product output methods, fermentation can be divided into batch fermentation (batch culture), continuous fermentation (continuous culture) and batch flow Fed-batch culture. The continuous fermentation of microorganisms refers to the culture method of continuously injecting the substrate into the fermenter and continuously taking out the fermentation liquid from the fermenter. Considering the low cost of continuous fermentation, it is easy to automate Therefore, this fermentation method is more suitable for factories to produce 1,3-PD in large quantities. Domestic production of 1,3-PD by microbial...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 王金鹤王帅吕佳佳庞丽萍
Owner HUZHOU TEACHERS COLLEGE
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