Simultaneous design and control under uncertainty: A back-off approach using power series expansions

Rafiei-Shishavan, Mina; Mehta, Siddharth; Ricardez‐Sandoval, Luis A.

doi:10.1016/j.compchemeng.2016.12.015

Cited by 47 publications

(52 citation statements)

References 41 publications

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“…The back‐off approach featured with PSEs was introduced earlier by our group . The approach is a sequential approximate optimization method in which the system is evaluated around the worst‐case variability expected in process outputs.…”

Section: Methodsmentioning

confidence: 99%

“…Kookos et al imposed back‐off terms on constraints to generate tighter upper and lower bounds for simultaneous consideration of design and control. Recently, we have developed a back‐off formulation using PSEs . The proposed back‐off method focuses on searching for the optimal design and control parameters by solving a set of optimization problems using PSE functions.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of this study is to present a practical and systematic method for the integration of design and control for large‐scale applications. In our previous work, the search space region in the PSE‐based optimization problem was specified a priori . Selecting a constant search space for the PSE functions may undermine the convergence of the methodology since the predictions of the PSEs highly depend on the nominal conditions used to develop the corresponding PSEs.…”

Section: Introductionmentioning

confidence: 99%

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A trust‐region framework for integration of design and control

Rafiei

Ricardez‐Sandoval

2020

AIChE Journal

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A trust‐region approach is presented to address the simultaneous design and control of large‐scale systems under uncertainty. The key idea is to represent the system using power series expansions (PSEs) as piecewise models in an iterative manner while the validity of those expansions is certified in a trusted region. The mean of squared errors is used as a metric to quantify the accuracy of the PSE approximations. Identified search regions specify the boundaries of the decision variables for the PSE‐based optimization problems. The proposed algorithm shows a significant accomplishment in locating dynamically feasible and near‐optimal design and operating conditions. The proposed approach was tested in a wastewater treatment plant and the Tennessee Eastman process. The results indicate that the proposed methodology leads to more economically attractive and reliable designs while maintaining the dynamic operability of the system in the presence of disturbances and uncertainty.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A trust‐region framework for integration of design and control

Rafiei

Ricardez‐Sandoval

2020

AIChE Journal

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“…The most basic method of producing robust solutions is through the use of overdesign factors, which provide a buffer to prevent variability from impacting feasibility. [33][34][35] Furthermore, stochastic simulations can be performed using a given probability distribution, to improve the calculation of back-off terms. 24 More advanced methods are emerging with the potential to provide higher quality solutions at the cost of higher computational complexity.…”

Section: Introductionmentioning

confidence: 99%

“…24 More advanced methods are emerging with the potential to provide higher quality solutions at the cost of higher computational complexity. In two recent works, 34,35 power series expansion (PSE) approximations are developed for the constraints and the objective function, with respect to decision variables, process disturbance, and parameter uncertainty. 12 The multiscenario method proposed in that work was extended from previous studies in the area that also considered a worst-case approach for process integration.…”

Section: Introductionmentioning

confidence: 99%

Stochastic back‐off algorithm for simultaneous design, control, and scheduling of multiproduct systems under uncertainty

2018

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An algorithm that employs the back‐off method to provide optimal solutions for integration of design, control, and scheduling for multiproduct systems is presented, featuring a flexibility and feasibility analysis. The algorithm employs Monte Carlo (MC) sampling to generate a large number of random realizations, and simulate the system to determine feasibility. Back‐off terms are determined and incorporated into a new flexibility analysis to approximate the effect of stochastic uncertainty and disturbances. Through successive iterations, the algorithm converges, terminating on a solution that is robust to a specified level of process variability due to stochastic realizations in the disturbances and uncertain parameters. The proposed algorithm has been successfully applied to a multiproduct continuous stirred tank reactor for which optimal design, control, and scheduling decisions are identified, subject to stochastic uncertainty and disturbance. The present approach has been compared to a critical‐set (multiscenario) method showing the benefits and limitations of both approaches. © 2018 American Institute of Chemical Engineers AIChE J, 64: 2379–2389, 2018

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Modeling of Fischer–Tropsch Synthesis Reactor

Méndez,

Ancheyta

2024

Mathematical Modeling of Complex Reaction Systems in the Oil and Gas Industry

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Simultaneous design and control under uncertainty: A back-off approach using power series expansions

Cited by 47 publications

References 41 publications

A trust‐region framework for integration of design and control

A trust‐region framework for integration of design and control

Stochastic back‐off algorithm for simultaneous design, control, and scheduling of multiproduct systems under uncertainty

Modeling of Fischer–Tropsch Synthesis Reactor

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