Nonlinear analysis of cybernetic model for aerobic growth of Saccharomyces cerevisiae in a continuous stirred tank bioreactor. Static bifurcations

Ciesielski, Adrian; Grzywacz, Robert

doi:10.1016/j.bej.2019.03.003

Cited by 12 publications

(5 citation statements)

References 34 publications

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“…Assuming ψ is available on-line, a linear observer is shown, (25) With appropriately designed gains κ1 > 0, the parameters κ2 > 0 and λψ > 0 are known to provide an exponentially convergent estimate of Sin in the absence of unknown perturbations. However, strict equivalence of Sin and ψ is inappropriate in practice and the deviation is manifested as unknown inputs.…”

Section: Estimation Of the Input Substrate Concentrationmentioning

confidence: 99%

“…However, strict equivalence of S in and ψ is inappropriate in practice and the deviation is manifested as unknown inputs. In synthesis, the linear observer (25) is not able to converge to the true value of the unmeasured states in the presence of unknown inputs. In fact, finite-time convergence is impossible for any observer having locally Lipschitz continuous perturbations, and convergence in the presence of persistent unknown inputs is also impossible for any continuous observer.…”

Section: Estimation Of the Input Substrate Concentrationmentioning

confidence: 99%

“…Moreover, the control objectives become fuzzy as the main biological state variables vary extremely slowly; for instance, the duration of one batch fermentation that account for 87% of the world ethanol production scale is about 60-72 h, where almost no control intervention is added in classic flow-sheet. To clarify the objectives to control, intensive experimental and theoretical research [25] applications concentrate on growing cultures under different conditions in order to properly characterize the microorganisms and to find optimum productivity. To make the most profit from the process, it is also demanded to minimize the transition time between consecutive steady state operating points.…”

Section: Introductionmentioning

confidence: 99%

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Global Stabilizing Control of a Continuous Ethanol Fermentation Process Starting from Batch Mode Production

Qin,

Zhai

2024

Processes

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Traditional batch ethanol fermentation poses the problems of poor production and economic viability because the lag and stationary phase always demand considerable fermentation time; plus, downtime between batches is requested to harvest, clean, and sterilize, decreasing the overall productivity and increasing labor cost. To promote productivity and prolong the production period, avoid process instability, and assure a substantial production of ethanol and a minimal quantity of residual substrate, this paper proposed a nonlinear adaptive control which can realize global stabilizing control of the process starting from batch mode to achieve batch/washout avoidance. Due to the dynamic nature and complexity of the process, novel estimation and control schemes are designed and tested on an ethanol fermentation model. These schemes are global stabilizing control laws including adaptive control to avoid input saturation, nonlinear estimation of the unknown influential concentration through a higher-order sliding mode observer, and state observers and parameter estimators used to estimate the unknown states and kinetics. Since the temperature is an important factor for an efficient operation of the process, a split ranging control framework is also developed. To verify the process performance improvement by continuous fermentation, tests performed via numerical simulations under realistic conditions are presented.

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Section: Estimation Of the Input Substrate Concentrationmentioning

confidence: 99%

Section: Estimation Of the Input Substrate Concentrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Global Stabilizing Control of a Continuous Ethanol Fermentation Process Starting from Batch Mode Production

Qin,

Zhai

2024

Processes

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“…The dynamics of the mixed tank bioreactor, in which the constant bioethanol fermentation process is taken, represents the model of eight ordinary differential equations (10)(11)(12)(13)(14)(15)(16)(17). Theories of the process for the expressed model are manifested in [28]. Values of the parameters used in the process for the formed mathematical system are presented in Table 1.…”

Section: Governing Equations and Materialsmentioning

confidence: 99%

New numerical simulation of the oscillatory phenomena occurring in the bioethanol production process

Partohaghighi

Akgül

et al. 2021

Biomass Conv. Bioref.

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The process of bioethanol production has been characterized with a structured and nonsegregated form of yeast growth dynamics. In this work, a geometric numerical method is applied to obtain the approximate solution of the oscillatory phenomena transpiring in the process of bioethanol production. This method is called group preserving scheme which is based on Lie group, proper for solving ordinary differential equations. In this regard, The Minkowski Cayley transformation is used to create this numerical method to get the approximate solutions of the problems. Moreover, figures are provided to show the reliability and accuracy of the proposed method.

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“…Many nonlinear system modeling methods [ 23 – 28 ] have been proposed. Based on the above methods, nonlinear system models can be established [ 29 , 30 ], and sensitivity analysis [ 31 , 32 ], stability analysis [ 30 , 33 , 34 ] and bifurcation analysis [ 35 – 37 ] can be performed on them. A parametric model of dosetime response is proposed in [ 38 ], demonstrating the effectiveness of our model for all available anticancer compounds.…”

Section: Introductionmentioning

confidence: 99%

Using entropy-driven amplifier circuit response to build nonlinear model under the influence of Lévy jump

Zhang

2022

BMC Bioinformatics

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Background Bioinformatics is a subject produced by the combination of life science and computer science. It mainly uses computer technology to study the laws of biological systems. The design and realization of DNA circuit reaction is one of the important contents of bioinformatics. Results In this paper, nonlinear dynamic system model with Lévy jump based on entropy-driven amplifier (EDA) circuit response is studied. Firstly, nonlinear biochemical reaction system model is established based on EDA circuit response. Considering the influence of disturbance factors on the system, nonlinear biochemical reaction system with Lévy jump is built. Secondly, in order to prove that the constructed system conforms to the actual meaning, the existence and uniqueness of the system solution is analyzed. Next, the sufficient conditions for the end and continuation of EDA circuit reaction are certified. Finally, the correctness of the theoretical results is proved by numerical simulation, and the reactivity of THTSignal in EDA circuit under different noise intensity is verified. Conclusions In EDA circuit reaction, the intensity of external noise has a significant impact on the system. The end of EDA circuit reaction is closely related to the intensity of Lévy noise, and Lévy jump has a significant impact on the nature of biochemical reaction system.

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Nonlinear analysis of cybernetic model for aerobic growth of Saccharomyces cerevisiae in a continuous stirred tank bioreactor. Static bifurcations

Cited by 12 publications

References 34 publications

Global Stabilizing Control of a Continuous Ethanol Fermentation Process Starting from Batch Mode Production

Global Stabilizing Control of a Continuous Ethanol Fermentation Process Starting from Batch Mode Production

New numerical simulation of the oscillatory phenomena occurring in the bioethanol production process

Using entropy-driven amplifier circuit response to build nonlinear model under the influence of Lévy jump

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