Dynamic optimization using adaptive control vector parameterization

Schlegel, Martin; Stockmann, Klaus; Binder, T.; Marquardt, Wolfgang

doi:10.1016/j.compchemeng.2005.02.036

Cited by 195 publications

(138 citation statements)

References 19 publications

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“…where r o is the oil revenue [ Several methods are available for dynamic optimization of large scale problems, see Bryson (1999), Schlegel et al (2005) and Biegler (2007). Simultaneous methods have attractive convergence and constraint handling properties, but even though their capacity to cope with large-scale problems has increased considerably over the recent years, models of order 10…”

Section: Waterflooding Optimization Problemmentioning

confidence: 99%

Hierarchical Economic Optimization of Oil Production from Petroleum Reservoirs

Essen

Hof

2009

IFAC Proceedings Volumes

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In oil production waterflooding is a popular recovery technology, which involves the injection of water into an oil reservoir. Studies on model-based dynamic optimization of waterflooding strategies have demonstrated that there is a significant potential to increase lifecycle performance, measured in Net Present Value. However, in these studies the complementary desire of oil companies to maximize daily production is generally neglected. To resolve this, a hierarchical optimization structure is proposed that regards economic life-cycle performance as primary objective and daily production as secondary objective. The existence of redundant degrees of freedom allows for the optimization of the secondary objective without compromising optimality of the primary objective.

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Section: Waterflooding Optimization Problemmentioning

confidence: 99%

Hierarchical Economic Optimization of Oil Production from Petroleum Reservoirs

Essen

Hof

2009

IFAC Proceedings Volumes

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“…This approximation relies on a parameterization of the control trajectories, and therefore direct methods are less rigorous than indirect methods in this regard. In practice, however, the resulting performance loss is hardly noticeable when a tailored parameterization is used or by applying an adaptive parameterization approach [45]. Besides, singular control problems as well as path-constrained problems can be handled more conveniently by direct methods.…”

Section: Direct Two-layer Schemementioning

confidence: 99%

Measurement-based optimization of batch and repetitive processes using an integrated two-layer architecture

Podmajerský¹,

Fikar²,

Chachuat

2013

Journal of Process Control

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“…The discrete-time finite-dimensional optimal control problem may be solved using single-shooting (control vector parametrization) [10], multiple shooting [11], [12], or the simultaneous method [13]. In these methods, a sequential quadratic programming (SQP) algorithm is typically used for the optimization.…”

Section: B Single-shooting Optimizationmentioning

confidence: 99%

Real-time economic optimization for a fermentation process using Model Predictive Control

Petersen

Jørgensen

2014

2014 European Control Conference (ECC)

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Abstract-Fermentation is a widely used process in production of many foods, beverages, and pharmaceuticals. The main goal of the control system is to maximize profit of the fermentation process, and thus this is also the main goal of this paper. We present a simple dynamic model for a fermentation process and demonstrate its usefulness in economic optimization. The model is formulated as an index-1 differential algebraic equation (DAE), which guarantees conservation of mass and energy in discrete form. The optimization is based on recent advances within Economic Nonlinear Model Predictive Control (E-NMPC), and also utilizes the index-1 DAE model. The E-NMPC uses the single-shooting method and the adjoint method for computation of the optimization gradients. The process constraints are relaxed to soft-constraints on the outputs. Finally we derive the analytical solution to the economic optimization problem and compare it with the numerically determined solution.

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Dynamic optimization using adaptive control vector parameterization

Cited by 195 publications

References 19 publications

Hierarchical Economic Optimization of Oil Production from Petroleum Reservoirs

Hierarchical Economic Optimization of Oil Production from Petroleum Reservoirs

Measurement-based optimization of batch and repetitive processes using an integrated two-layer architecture

Real-time economic optimization for a fermentation process using Model Predictive Control

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