2001
DOI: 10.1016/s0098-1354(01)00651-2
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Nonlinear control of polymerization reactor

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Cited by 29 publications
(17 citation statements)
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“…The mathematical formulation of the minimum time-optimal temperature policy was originally solved by Sacks and coworkers [19]. Consequently, this approach prompted several researchers to apply them in optimal control studies due to their simplicity [20][21][22][23][24]. By using Hamiltonian and the model equations, an equation for the optimal temperature was obtained as:…”
Section: Optimal Temperature Policymentioning
confidence: 99%
“…The mathematical formulation of the minimum time-optimal temperature policy was originally solved by Sacks and coworkers [19]. Consequently, this approach prompted several researchers to apply them in optimal control studies due to their simplicity [20][21][22][23][24]. By using Hamiltonian and the model equations, an equation for the optimal temperature was obtained as:…”
Section: Optimal Temperature Policymentioning
confidence: 99%
“…In our case we do not use relaxation as a tuning parameter, instead, we propose to use a first-order time constant, which will be more acceptable from an engineering point of view. As shown in Appendix B, update of the model parameters K 3 and K 4 proceeds according to the following equation: (15) in which k is the time step, j = 3 when the process variable pv is the conversion and j = 4 when the process variable is the melt index; e is the error between the measured process output and the estimated process output using the simplified model. The coefficient α depends on the process conditions.…”
Section: Parameterization Of the Simplified Modelmentioning
confidence: 99%
“…There are numerous examples in the literature of linear control approaches applied to polymerization reactor control, such as, PI cascade control [6], dynamic matrix control [7,8], generalized predictive control [9] and adaptive internal model control [10]. Examples of the application of non-linear control approaches are, amongst others, globally linearizing control [11][12][13] and non-linear model predictive control [14,15]. There are also some approaches in which linear control is used, combined with non-linear models for setpoint updating [16].…”
Section: Introductionmentioning
confidence: 99%
“…The models used for these predictions have been linear approximations of the process which are obtained experimentally from step response data. Unfortunately, strong nonlinear behavior is often found in real chemical processes such as highly exothermic batch polymerization reactors [2][3][4]. There are also some approaches in which linear control is used, combined with non-linear models for setpoint updating [5].…”
Section: Introductionmentioning
confidence: 99%