Disjunctive modeling for optimal control of hybrid systems

Oldenburg, Jan; Marquardt, Wolfgang

doi:10.1016/j.compchemeng.2007.12.002

Cited by 35 publications

(25 citation statements)

References 36 publications

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“…Oldenburg and Marquardt [270] developed a GDP model of "fixed alternative sequences", formalizing modelling approaches proposed by several authors [272,274]. The authors solve the GDP model using a modified version of the logic based Outer Approximation, showing the efficiency of the algorithm in finding a global solutions fast.…”

Section: Process Controlmentioning

confidence: 99%

“…Start-up and shut-down operations [262], batch systems [263], and grade transitions [258,259] are some of the main applications of optimization of hybrid systems. Several hybrid formulations have been developed and implemented in recent years [264][265][266][267][268][269][270][271]. A comprehensive review on modelling, simulation, sensitivity analysis and optimization of hybrid systems is provided by Barton and…”

Section: Process Controlmentioning

confidence: 99%

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Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods

Trespalacios

Grossmann

2014

Chemie Ingenieur Technik

151

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This work presents a review of the applications of mixed-integer nonlinear programming (MINLP) in process systems engineering (PSE). A review on the main deterministic MINLP solution methods is presented, including an overview of the main MINLP solvers. Generalized disjunctive programming (GDP) is an alternative higher-level representation of MINLP problems. This work reviews some methods for solving GDP models, and techniques for improving MINLP methods through GDP. The paper also provides a high-level review of the applications of MINLP in PSE, particularly in process synthesis, planning and scheduling, process control and molecular computing.

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Section: Process Controlmentioning

confidence: 99%

Section: Process Controlmentioning

confidence: 99%

Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods

Trespalacios

Grossmann

2014

Chemie Ingenieur Technik

151

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“…Generalized disjunctive programming are used to solve the MINLP. Marquardt & co-workers (2008) [260] MIDO problem is reformulated as a mixed-logic dynamic optimization problem, and solved by control vector parameterization and direct multiple shooting. You & co-workers (2013You & co-workers ( , 2014You & co-workers ( , 2015 [72-74, 321, 322] Algo.…”

Section: 'High Fidelity' Modelmentioning

confidence: 99%

Model-based multi-parametric programming strategies towards the integration of design, control and operational optimization

Diangelakis

Pistikopoulos

2017

Computer Aided Chemical Engineering

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“…A bypass stage maps the state variable values of one existing stage to the next. For further details on the general multistage modeling framework consult (Oldenburg and Marquardt, 2008).…”

Section: Disjunctive Multistage Modelmentioning

confidence: 99%

Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities

Ruiz‐Femenia

Grossmann

2014

Computer Aided Chemical Engineering

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We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit discontinuities, which increases the problem complexity since the number of continuous phases and discrete events is not known a-priori. After setting a fixed alternative sequence of modes, we convert the infinite-dimensional continuous mixed-logic dynamic (MLDO) problem into a finite dimensional discretized GDP problem by orthogonal collocation on finite elements. We use the Logic-based Outer Approximation algorithm to fully exploit the structure of the GDP representation of the problem. This modelling framework is illustrated with an optimization problem with implicit discontinuities (diver problem).

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Disjunctive modeling for optimal control of hybrid systems

Cited by 35 publications

References 36 publications

Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods

Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods

Model-based multi-parametric programming strategies towards the integration of design, control and operational optimization

Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities

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