Optimization of hybrid discrete/continuous dynamic systems

Barton, Paul I.; Banga, Julio R.; García-Galán, S.

doi:10.1016/s0098-1354(00)00586-x

Cited by 53 publications

(37 citation statements)

References 22 publications

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“…Based on some preliminary experiments , the number of cycles has been fixed to N c = 29 and was not a subject of further optimisation as this would lead to mixed integer dynamic optimisation (Barton et al, 2000;Branicky et al, 1998).…”

Section: Resultsmentioning

confidence: 99%

Optimal operation of alternating activated sludge processes

Fikar

Chachuat

Latifi

2005

Control Engineering Practice

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The study presents dynamic optimisation of a small size single basin wastewater treatment plant. The objectives are to determine an optimal sequence of aeration/nonaeration times so that for a typical diurnal pattern of disturbances, the effluent constraints are respected, the plant remains in periodical steady state, and energy consumption is minimised.Based on the optimal state trajectories results, two simple feedback rules are proposed. Simulation results with these rules show very satisfactory control performance.Keywords: wastewater treatment, activated sludge process, dynamic optimisation.

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Section: Resultsmentioning

confidence: 99%

Optimal operation of alternating activated sludge processes

Fikar

Chachuat

Latifi

2005

Control Engineering Practice

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“…Esposito and Floudas (2000b) studied the deterministic global optimization of nonlinear optimal control problems, introduced the integration-based framework, investigated the properties of the input-output map of solutions, suggested three alternative ways of calculating the β values for the lower bounding problems, and demonstrated through several challenging case studies the algorithmic trade-offs of the different strategies, as well as the determination of the global solution. Barton, Banga, and Galan (2000) studied the optimization of hybrid discrete/continuous dynamic systems, presented a framework based on hybrid optimal control, investigated existence and sensitivity results, introduced a modified stochastic search approach, and presented computational results for a tank changeover problem. Esposito and Floudas (2001) pointed out the theoretical rigor and advantages of the proposed global optimization methods by Esposito and Floudas (2000a) and the differences between local search approaches and global optimization methods.…”

Section: Differential-algebraic Models Daesmentioning

confidence: 99%

Global optimization in the 21st century: Advances and challenges

Floudas

Akrotirianakis

Caratzoulas

et al. 2005

Computers & Chemical Engineering

198

117

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This paper presents an overview of the research progress in global optimization during the last 5 years (1998)(1999)(2000)(2001)(2002)(2003), and a brief account of our recent research contributions. The review part covers the areas of (a) twice continuously differentiable nonlinear optimization, (b) mixedinteger nonlinear optimization, (c) optimization with differential-algebraic models, (d) optimization with grey-box/black-box/nonfactorable models, and (e) bilevel nonlinear optimization. Our research contributions part focuses on (i) improved convex underestimation approaches that include convex envelope results for multilinear functions, convex relaxation results for trigonometric functions, and a piecewise quadratic convex underestimator for twice continuously differentiable functions, and (ii) the recently proposed novel generalized ␣BB framework. Computational studies will illustrate the potential of these advances.

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“…Moreover, the knowledge in advance of an open-loop optimal control law for a given process can offer an estimate on how far the system is from the optimal operation and help to identify possible improvement actions (Chachuat, 2007). The dynamic optimization approach is extensively used to aid in the design and operations of industrial systems (Adams and Seider, 2008;Balsa-Canto et al, 2005;Barton et al, 1998Barton et al, , 2000Biegler, 2010;Carrasco and Banga, 1997;Galán and Barton, 1998;Vassiliadis et al, 1994). The most popular application is the determination of optimal operating policies in batch processes.…”

Section: Introductionmentioning

confidence: 99%