A method to coordinate decentralized NMPC controllers in oxygen distribution networks

Martí, Rubén; Sarabia, Daniel; Navia, Daniel; Prada, César de

doi:10.1016/j.compchemeng.2013.05.023

Cited by 19 publications

(24 citation statements)

References 7 publications

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“…A significant improvement in the rate of the convergence of the standard price-based coordination can be achieved when the coordinator possesses knowledge on the sensitivities of the subsystems to the price of the shared resources [5,16,18]. The coordinator's knowledge is, however, limited if the subsystems do not want to share information about their optimization models and constraints.…”

Section: Introductionmentioning

confidence: 99%

“…The heat plot shows the constraint violation, i.e., the network residual (16). For the case study of unconstrained individual plants a quadratic mapping can be identified as in (16). In case of the individually constrained case study the situation is different.…”

Section: Analysis Of the Response Surfacesmentioning

confidence: 99%

“…On the horizontal and vertical axes the two prices for the two shared resources are plotted as coordinates. The heat plot shows the constraint violation, i.e., the network residual (16). For the case study of unconstrained individual plants a quadratic mapping can be identified as in (16).…”

Section: Analysis Of the Response Surfacesmentioning

confidence: 99%

“…In Gao et al [10] a screening algorithm is proposed that is able to select a well-poised set of points for a robust and reliable quadratic approximation. The proposed algorithm was developed for the estimation of reliable plant gradients in the Modifier Adaptation method, but it can also be used in the framework of price-based coordination for selecting a suitable set of points for the quadratic approximation of (16).…”

Section: Novel Price Update Strategymentioning

confidence: 99%

“…An obstacle for the industrial application of the pricebased coordination technique is the slow convergence rate of the scheme that is frequently observed [16]. The objective function can be augmented by a quadratic term for the violation of the coupling constraints which convexifies the cost function and improves the speed of convergence.…”

Section: Introductionmentioning

confidence: 99%

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Optimal resource allocation in industrial complexes by distributed optimization and dynamic pricing

Wenzel

Paulen

Stojanovski

et al. 2016

At - Automatisierungstechnik

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Abstract:We address the distributed hierarchical optimization of industrial production complexes where the individual plants exchange resources via networks. Due to the site-wide couplings a centralized or a distributed hierarchical optimization is needed to achieve the best overall performance of the site and to balance the networks of the shared resources. We discuss market-like algorithms that set prices of the shared resources in order to influence the individual optimizers so that the overall operation converges to the site-wide optimum. A novel algorithm for price adjustment based on the quadratic approximation of the responses of the individual optimizers is presented. It shows convergence to the site-wide optimum with significantly less iterations in comparison to the standard subgradient-based method for a set of case studies, including a petrochemical complex.

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Section: Introductionmentioning

confidence: 99%

Section: Analysis Of the Response Surfacesmentioning

confidence: 99%

Section: Analysis Of the Response Surfacesmentioning

confidence: 99%

Section: Novel Price Update Strategymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Optimal resource allocation in industrial complexes by distributed optimization and dynamic pricing

Wenzel

Paulen

Stojanovski

et al. 2016

At - Automatisierungstechnik

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Distributed MPC for resource‐constrained control systems

Scherer

Camponogara

Normey‐Rico

et al. 2014

Optim Control Appl Methods

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This article presents a distributed model predictive control methodology to manage energy resources for a set of consumer subsystems. The objective of the controller is to optimally distribute the allowable energy to the subsystems. The proposed methodology yields a distributed solution that converges to the optimum that would be obtained by a centralized controller. This optimal performance is achieved by expressing the problem in terms of slack variables and the global coupling constraint as a set of local subsystem constraints, thereby favoring the application of distributed model predictive control. Hardware-in-the-loop experiments with an air-conditioning thermal solar plant are performed to show the good performance of the proposed distributed controller.This section presents the MPC formulation for resource-constrained systems, followed by a compact formulation and its reformulation in terms of slack variables that will be handy to develop a DMPC solution. Model predictive control formulationMPC encompasses the large class of control algorithms that make explicit use of a process model to obtain the control signal by minimizing an objective function over a given horizon [1]. Moreover, MPC strategies use a receding strategy whereby the horizon is displaced toward the future at each instant, but only the first control signal of the sequence calculated at each step is applied to the plant.

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Hierarchically coordinated economic MPC plantwide control of mixed continuous‐batch units in process industries with application to a beet sugar plant

Mazaeda

Cristea

Prada

2019

Optim Control Appl Methods

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Summary This paper deals with the optimal operation of processes that combine batch and continuous units. The proposed approach is based on a hierarchical architecture with two layers. The lower layer manages the optimal operation of the batch units in a noncentralized fashion, whereas the upper layer is concerned with the scheduling of the batch units and with their smooth integration with the continuous ones. The strategy has been applied to a challenging problem found at the interface of the fed‐batch crystallizers with the upstream evaporation section in beet sugar factories. The presented approach aims at designing a system that can effectively perform the plantwide economic optimization, specifically addressing the issue of energy efficiency, while complying with all process and operational constraints.

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A method to coordinate decentralized NMPC controllers in oxygen distribution networks

Cited by 19 publications

References 7 publications

Optimal resource allocation in industrial complexes by distributed optimization and dynamic pricing

Optimal resource allocation in industrial complexes by distributed optimization and dynamic pricing

Distributed MPC for resource‐constrained control systems

Hierarchically coordinated economic MPC plantwide control of mixed continuous‐batch units in process industries with application to a beet sugar plant

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