Strategies for the Analysis of Continuous Bioethanol Fermentation under Periodical Forcing

Zhai, Chi; Palazoğlu, Ahmet; Wang, Shining; Sun, Wei

doi:10.1021/acs.iecr.6b03930

Cited by 11 publications

(2 citation statements)

References 34 publications

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“…The combination of two oscillatory CSTRs has been shown to generate chaos [7,8,41]. Bifurcation analysis of steady-state is used to explore the complex dynamical behavior of CSTRs.…”

Section: Introductionmentioning

confidence: 99%

Codimension-One and Codimension-Two Bifurcations of a Fractional-Order Cubic Autocatalator Chemical Reaction System

Khan,

Din

2023

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This article delves into an investigation of the dynamic behavior exhibited by a fractional order cubic autocatalator chemical reaction model. Specifically, our focus lies on exploring codimension-one bifurcations associated with period-doubling bifurcation and Neimark-Sacker bifurcation. Additionally, we undertake an analysis of codimension-two bifurcations linked to resonances of the types 1:2, 1:3, and 1:4. To achieve these outcomes, we employ the normal form method and bifurcation theory. The results are presented through comprehensive numerical simulations, encompassing visual representations such as phase portraits, two-parameter bifurcation diagrams, and maximum Lyapunov exponents diagrams. These simulations aptly examine the behavior of a system governed by two distinct parameters that vary within a three-dimensional space. Furthermore, the simulations effectively illustrate the theoretical findings while providing valuable insights into the underlying dynamics.

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“…The combination of two oscillatory CSTRs has been shown to generate chaos [7,8,41]. Bifurcation analysis of steady-state is used to explore the complex dynamical behavior of CSTRs.…”

Section: Introductionmentioning

confidence: 99%

Codimension-One and Codimension-Two Bifurcations of a Fractional-Order Cubic Autocatalator Chemical Reaction System

Khan,

Din

2023

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“…Chaotic behavior could be generated through coupling of two oscillatory CSTRs or CSTR forced [17][18][19]. Bifurcation analysis studies dynamic complexities by using only steady-state information of the CSTRs, and can be used not only to analyze the unforced system, but also to evaluate the dynamic changes when periodic forcing is introduced.…”

Section: Introductionmentioning

confidence: 99%

Study on the Nonlinear Dynamics of the Continuous Stirred Tank Reactors

et al. 2020

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Chemical processes often exhibit nonlinear dynamics and tend to generate complex state trajectories, which present challenging operational problems due to complexities such as output multiplicity, oscillation, and even chaos. For this reason, a complete knowledge of the static and dynamic nature of these behaviors is required to understand, to operate, to control, and to optimize continuous stirred tank reactors (CSTRs). Through nonlinear analysis, the possibility of output multiplicity, self-sustained oscillation, and torus dynamics are studied in this paper. Specifically, output multiplicity is investigated in a case-by-case basis, and related operation and control strategies are discussed. Bifurcation analysis to identify different dynamic behaviors of a CSTR is also implemented, where operational parameters are identified to obtain self-oscillatory dynamics and possible unsteady-state operation strategy through designing the CSTR as self-sustained periodic. Finally, a discussion on codimension-1 bifurcations of limits cycles is also provided for the exploration of periodic forcing on self-oscillators. Through this synergistic study on the CSTRs, possible output multiplicity, oscillatory, and chaotic dynamics facilitates the implementation of novel operation/control strategies for the process industry.

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Sinusoidal control strategy applied to continuous stirred‐tank reactors: Asymptotic and exponential convergence

Aguilar‐López,

González‐Viveros,

López‐Pérez

2024

Can J Chem Eng

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The main goal of this proposal is to present a class of nonlinear controllers for regulation and set point changes in continuous chemical reactors. The proposed control law has in its mathematical structure a proportional term of the regulation error to provide closed‐loop stability and a sinusoidal term, which can compensate for the nonlinearities of the plant. The closed‐loop stability of the plant is demonstrated via Lyapunov analysis, which reveals an asymptotic convergence of the control output to the required set points. Furthermore, the analysis of the regulation error's dynamic under the considered assumptions leads us to conclude that exponential stability is also reached. The controller is implemented via numerical experiments in two examples to generalize the applicability of the proposed approach by considering continuous stirred‐tank reactors models. The first case considers autocatalytic chemical oscillatory reactions that induce chaotic behaviour. For the second case, a process of acetone, butanol, and ethanol (ABE) fermentation through Clostridium acetobutylicum is considered. The proposed strategy shows an adequate performance because it can reach the required set point without long time settings and overshoot. A comparison with a smooth sliding‐mode and a standard proportional‐integral (PI) controller indicates the advantages of the proposed control approach.

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Strategies for the Analysis of Continuous Bioethanol Fermentation under Periodical Forcing

Cited by 11 publications

References 34 publications

Codimension-One and Codimension-Two Bifurcations of a Fractional-Order Cubic Autocatalator Chemical Reaction System

Codimension-One and Codimension-Two Bifurcations of a Fractional-Order Cubic Autocatalator Chemical Reaction System

Study on the Nonlinear Dynamics of the Continuous Stirred Tank Reactors

Sinusoidal control strategy applied to continuous stirred‐tank reactors: Asymptotic and exponential convergence

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