Journal ArticleDOI
Dynamic Optimization in a Discontinuous World
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TLDR
This paper discusses three classes of dynamic optimization problems with discontinuities: path-constrained problems, hybrid discrete/continuous problems, and mixed-integer dynamic optimize problems.Abstract:
Many engineering tasks can be formulated as dynamic optimization or open-loop optimal control problems, where we search a priori for the input profiles to a dynamic system that optimize a given performance measure over a certain time period. Further, many systems of interest in the chemical processing industries experience significant discontinuities during transients of interest in process design and operation. This paper discusses three classes of dynamic optimization problems with discontinuities: path-constrained problems, hybrid discrete/continuous problems, and mixed-integer dynamic optimization problems. In particular, progress toward a general numerical technology for the solution of large-scale discontinuous dynamic optimization problems is discussed.read more
Citations
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Retrospective on optimization
TL;DR: A general classification of mathematical optimization problems is provided, followed by a matrix of applications that shows the areas in which these problems have been typically applied in process systems engineering.
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An overview of simultaneous strategies for dynamic optimization
TL;DR: This study provides background information, summarizes the underlying concepts and properties of this approach, discusses recent advances in the treatment of discrete decisions and illustrates the approach with two process case studies.
Journal ArticleDOI
Advances in simultaneous strategies for dynamic process optimization
TL;DR: An improved algorithm for simultaneous strategies for dynamic optimization based on interior point methods is developed and a reliable and efficient algorithm to adjust elements to track optimal control profile breakpoints and to ensure accurate state and control profiles is developed.
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Simultaneous dynamic optimization strategies: Recent advances and challenges
TL;DR: Comparing the properties of solutions generated by simultaneous approaches to those of classical variational methods, for a variety of problem classes, shows why simultaneous strategies are especially beneficial for dynamic systems with unstable modes, with path constraints and for large-scale, structured problems.
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Advanced control of crystallization processes
TL;DR: An overview of recent developments in the control of crystallization processes, including activities in sensor technologies, model identification, experimental design, process simulation, robustness analysis, and optimal control are provided.
References
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