1999
DOI: 10.1590/s0104-66321999000100008
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Nonlinear Model Predictive Control of Chemical Processes

Abstract: A new algorithm for model predictive control is presented. The algorithm utilizes a simultaneous solution and optimization strategy to solve the model's differential equations. The equations are discretized by equidistant collocation, and along with the algebraic model equations are included as constraints in a nonlinear programming (NLP) problem. This algorithm is compared with the algorithm that uses orthogonal collocation on finite elements. The equidistant collocation algorithm results in simpler equations… Show more

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Cited by 12 publications
(5 citation statements)
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References 17 publications
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“…In the simultaneous solution [ER90,PE93,SK99] the differential equations are transformed to algebraic equations which are solved in addition to the nonlinear equality constraints in the optimization. The decision variables includes both the model states and control signals and the model equations are appended to the optimization problem as equality constraints.…”
Section: Simultaneous Methodsmentioning
confidence: 99%
“…In the simultaneous solution [ER90,PE93,SK99] the differential equations are transformed to algebraic equations which are solved in addition to the nonlinear equality constraints in the optimization. The decision variables includes both the model states and control signals and the model equations are appended to the optimization problem as equality constraints.…”
Section: Simultaneous Methodsmentioning
confidence: 99%
“…(Kawathekar 2004) The most frequently cited MPC techniques are dynamic matrix control (DMC) and model algorithmic control (MAC) (Silva & Kwong 1999), which are used successfully in a larger number of industrial processes because they explicitly handle constraints (Prett 1979;Moro 1995;Odloak 1996). The objective function is defined in terms of both present and predicted system variables and is evaluated using an explicit model to predict future process outputs.…”
Section: Model Predictive Controlmentioning
confidence: 99%
“…Most Silva & Kwong 1999;Kumar & Daoutidis 1999) . Roat et al (1986) presented the inadequacies of conventional linear multi-loop controllers and highlighted the need for more advanced controllers designed within the framework of nonlinear control science.…”
Section: Introductionmentioning
confidence: 99%
“…In our model the first process in each time step is the irreversible conversion of chemical A into product B. The conversion rate is determined by φ k(X 2 ) as in [6], where X 2 is the average temperature of the tank temperature arrangement. This first order kinetics "constant" is multiplied by the time step in order to get the proportion of the reactive A that is expected to be converted into product B in each evolution step.…”
Section: Stochastic Ca Model For Jacketed Cstrmentioning
confidence: 99%