Real-time optimization of perturbed control systems with linear control
type: Item
instance of: scholarly article
zbMATH Open document ID: 0990.93080
author: Susanne Winderl
author: Christof Büskens
publication date: 2002-08-19T00:00:00Z
Mathematics Subject Classification ID: 93C83
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 49N35
zbMATH DE Number: 1655346
zbMATH Keywords: fast numerical method
zbMATH Keywords: real-time control
zbMATH Keywords: constraints
zbMATH Keywords: disturbances
zbMATH Keywords: discretization
zbMATH Keywords: switching structure
zbMATH Keywords: low-dimensional switching interval
zbMATH Keywords: switching points
zbMATH Keywords: batch reactor
MaRDI profile type: Publication
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title: Real-time optimization of perturbed control systems with linear control
published in: ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
review text: The paper discusses the need for a fast numerical method to compute real-time control approximations during the process so that optimality conditions and prescribed constraints are preserved even in the presence of disturbances. For finite-dimensional optimization problems, an approach based on suitable discretization strategies for optimal control problems with linear controls is proposed. As a first step the problem is solved by a direct optimization method. Once an optimal solution is found, the switching structure is extracted to formulate a low-dimensional switching interval problem where only switching points and discretized controls on singular subarcs are optimized. By means of this transformation, the number of optimization variables decreases enormously. As an example a batch reactor with elevent states and two inputs is considered.
reviewed by: Petko Hr. Petkov
description: scientific article; zbMATH DE number 1655346