Stability, dynamics of convergence and tuning of observer-based kinetics estimators

Oliveira, Rui; Ferreira, Eugénio C.; Azevedo, S. Feyo de

doi:10.1016/s0959-1524(01)00031-2

Cited by 45 publications

(45 citation statements)

References 16 publications

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“…The gain δj is a positive constant which takes the value of a lower bound for |z 0 -T j |, the existence of this parameter is verified taking into account that all the temperatures are measured in Kelvin degrees and the condition z 0 >T j for all the time. Note that the system (4) can be considered as a second order sliding mode extension of the linear OBE presented in [26].…”

Section: Obe Designmentioning

confidence: 99%

Robust Estimation for a CSTR Using a High Order Sliding Mode Observer and an Observer-Based Estimator

Botero¹,

Jiménez‐Rodríguez²,

Jaramillo³

et al. 2016

rev.ion

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This paper presents an estimation structure for a continuous stirred-tank reactor, which is comprised of a sliding mode observer-based estimator coupled with a high-order sliding-mode observer. The whole scheme allows the robust estimation of the state and some parameters, specifically the concentration of the reactive mass, the heat of reaction and the global coefficient of heat transfer, by measuring the temperature inside the reactor and the temperature inside the jacket. In order to verify the results, the convergence proof of the proposed structure is done, and numerical simulations are presented with noiseless and noisy measurements, suggesting the applicability of the posed approach. ResumenEste trabajo presenta una estructura de estimación para un reactor de tanque agitado en continuo, la cual se compone de un estimador basado en observador por modos deslizantes acoplado con un observador por modos deslizantes de alto orden. Todo el esquema permite la estimación robusta del estado y algunos parámetros, concretamente la concentración de la masa reactiva, el calor de reacción y el coeficiente global de transferencia de calor, a partir de la medición de las temperaturas al interior del reactor y de la chaqueta. Para verificar los resultados, se realizan pruebas de convergencia de la estructura propuesta, y se presentan simulaciones numéricas con mediciones ruidosas y sin ruido, lo que sugiere la aplicabilidad del enfoque planteado.Palabras clave: observadores para procesos químicos, diseño de observadores robustos, algoritmos de modos deslizantes, sistemas con incertidumbre.

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Section: Obe Designmentioning

confidence: 99%

Robust Estimation for a CSTR Using a High Order Sliding Mode Observer and an Observer-Based Estimator

Botero¹,

Jiménez‐Rodríguez²,

Jaramillo³

et al. 2016

rev.ion

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“…The stability and convergence properties of the observer-based estimator are widely analysed in [1,28]. Using the dynamics of S and P given in (11) and (12), the OBE of the unknown rate μ is particularized as:…”

Section: An Adaptive Control Strategymentioning

confidence: 99%

Robust‐Adaptive Control Strategies for a Time Delay Bioelectrochemical Process Using Interval Observers

Petre¹,

Tebbani²,

Selişteanu³

2014

Asian Journal of Control

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International audienceThe paper addresses the design and the analysis of adaptive and robust-adaptive control strategies for a complex recycled wastewater treatment bioprocess. The design procedures are developed under the realistic assumptions that the bacterial growth rates are unknown and the influent flow rates are time-varying and uncertain, but some lower and upper bounds of these uncertainties are known. The proposed control structures are achieved by combining a linearizing control law with an appropriately (asymptotic or interval based) state observer and with a parameter estimator used for on-line estimation of unknown kinetics. These approaches are applied to a complex time delay bioprocess resulting from the association of a recycling bioreactor with an electrochemical reactor. Numerical simulations are performed in order to validate the proposed algorithms

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“…The latter is a dynamical system that combines a nominal model of the process with online measurements of the input and the output of the process to estimate states and/or parameters. In bioprocess engineering, many algorithms have been developed in the literature [2,3,4,5,6,7].…”

Section: Observer Designmentioning

confidence: 99%

Observer design for differential-algebraic model of an aerobic culture of a recombinant yeast

Assoudi¹,

Yaagoubi²,

Hammouri

2003

Bioprocess and Biosystems Engineering

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The mathematical model of an aerobic culture of recombinant yeast presented in work by Zhang et al. (1997) is given by a differential-algebraic system. The classical nonlinear observer algorithms are generally based on ordinary differential equations. In this paper, first we extend the nonlinear observer synthesis to differential-algebraic dynamical systems. Next, we apply this observer theory to the mathematical model proposed in Zhang et al. (1997). More precisely, based on the total cell concentration and the recombinant protein concentration, the observer gives the online estimation of the glucose, the ethanol, the plasmid-bearing cell concentration and a parameter that represents the probability of plasmid loss of plasmid-bearing cells. Numerical simulations are given to show the good performances of the designed observer.

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Stability, dynamics of convergence and tuning of observer-based kinetics estimators

Cited by 45 publications

References 16 publications

Robust Estimation for a CSTR Using a High Order Sliding Mode Observer and an Observer-Based Estimator

Robust Estimation for a CSTR Using a High Order Sliding Mode Observer and an Observer-Based Estimator

Robust‐Adaptive Control Strategies for a Time Delay Bioelectrochemical Process Using Interval Observers

Observer design for differential-algebraic model of an aerobic culture of a recombinant yeast

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