Response modes of continuous stirred tank reactors

Asbjørnsen, O.A.; Field, Michael

doi:10.1016/0009-2509(70)80054-9

Cited by 52 publications

(26 citation statements)

References 8 publications

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“…These considerations have motivated the approach proposed by [1] that takes advantage of a linear change of variable to eliminate the uncertain kinetic terms from the observer design; the resulting observers were termed asymptotic observers, and have been widely used in practice [9,2]. Note that the idea of performing the estimation without knowing the reaction rates has its roots in the notion of reaction invariants [10,11,12] and constitutes an extension of mass-conservation principles. Since they are mainly based on mass-conservation principles (assuming known and constant biological stoichiometry), asymptotic observers are most efficient when the influent composition is well known.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic observers for a class of uncertain biological processes

Chachuat

Bernard

2006

Intl J Robust & Nonlinear

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SUMMARYIn this paper, probabilistic observers are considered for a class of continuous biological processes described by mass-balance-based models. It is assumed that the probability density functions (PDFs) of the uncertain parameters and inputs of the model, as well as the PDFs of the missing initial conditions are known. Then, the PDFs of the unmeasured state variables are obtained, at any time, by considering the image of these initial PDFs by the flow of the dynamic model (differential system). In comparison to classical open-loop asymptotic and interval observers, the method provides information on the confidence level of the estimates rather than simple upper and lower bounds. Moreover, unlike Kalman filters, probabilistic observers are not restricted to Gaussian distributions for the uncertain parameters. The design and application of a probabilistic observer to an industrial wastewater treatment plant is presented. Finally, a number of practical considerations is discussed in connection to both implementation and utilization issues.

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Section: Introductionmentioning

confidence: 99%

Probabilistic observers for a class of uncertain biological processes

Chachuat

Bernard

2006

Intl J Robust & Nonlinear

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“…As expected, the reaction invariants are independent of the reactions but, unfortunately, the reactions variants do not only represent the contribution of the reactions as they are also affected by inlet and outlet streams. [5][6][7] Recently, Srinivasan et al 8 proposed a nonlinear transformation to reaction variants, flow variants, and reaction and flow invariants. However, in all these studies, the reaction variants and invariants are merely mathematical quantities that describe a space rather than individual true extents of reaction.…”

Section: Introductionmentioning

confidence: 99%

Extents of reaction and flow for homogeneous reaction systems with inlet and outlet streams

et al. 2010

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For homogeneous reaction systems with inlet and outlet streams, this article proposes a linear transformation of the number of moles vector into three distinct parts, namely, the reaction variants, the inlet-flow variants, and the reaction and inlet-flow invariants. The transformed states can be interpreted physically as (i) the amount of material contributed by each reaction and still present in the reactor (extents of reaction), (ii) the amount of material contributed by each inlet stream and still present in the reactor (extents of inlet flow), and (iii) the fraction of the initial conditions that has left the reactor (extent of outlet flow). Furthermore, several implications of being able to compute the extents of reaction and inlet flow are discussed. The methodology is illustrated in simulation via the ethanolysis of phthalyl chloride.

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“…The concept of reaction variants and invariants has been proposed to decouple the dynamic effects in reaction systems, thereby facilitating their analysis and control (Asbjørnsen and Fjeld (1970); Asbjørnsen (1972)). A finer separation of the various dynamic effects in both homogeneous and heterogeneous open reaction systems has been proposed by and , and reformulated recently as a linear transformation of the numbers of moles to so-called vessel extents by Rodrigues et al (2015).…”

Section: Introductionmentioning

confidence: 99%

Control of Reaction Systems via Rate Estimation and Feedback Linearization

Rodrigues

Billeter

Bonvin

2015

12th International Symposium on Process Systems Engineering and 25th European Symposium on Computer Aided Process Engineering

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The kinetic identification of chemical reaction systems often represents a time-consuming and complex task. This contribution presents an approach that uses rate estimation and feedback linearization to implement effective control without the use of a kinetic model. The reaction rates are estimated by numerical differentiation of reaction variants that are computed from measurements. The approach is illustrated in simulation through the temperature control of a continuous stirred-tank reactor.

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Response modes of continuous stirred tank reactors

Cited by 52 publications

References 8 publications

Probabilistic observers for a class of uncertain biological processes

Probabilistic observers for a class of uncertain biological processes

Extents of reaction and flow for homogeneous reaction systems with inlet and outlet streams

Control of Reaction Systems via Rate Estimation and Feedback Linearization

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