Predictive Planning and Systematic Action—On the Control of Technical Processes

Lars Grüne (), Sebastian Sager (), Frank Allgöwer (), Hans Georg Bock () and Moritz Diehl ()
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Lars Grüne: Universität Bayreuth, Mathematisches Institut
Sebastian Sager: Der Ruprecht-Karls-Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Frank Allgöwer: University of Stuttgart, Institute for Systems Theory and Automatic Control
Hans Georg Bock: Interdisciplinary Center for Scientific Computing
Moritz Diehl: KU Leuven, Optimization in Engineering Center (OPTEC) and Electrical Engineering Department ESAT, Division SCD

A chapter in Production Factor Mathematics, 2010, pp 9-37 from Springer

Abstract: Abstract Since the beginning of the industrial revolution control engineering has been a key technology in many technical fields. James Watt’s centrifugal governor for steam engines is one of the early examples of an extremely successful controller concept, of which at the end of the 1860s approximately 75 000 devices were in use only in England (Bennett, A History of Control Engineering 1800–1930. Peter Peregrinus Ltd., London, p. 24, 1979). Around this time, motivated by the increasing complexity of the plants that had to be controlled, engineers started to investigate systematically the theoretical foundations of control theory. The dynamic behavior of controlled systems, however, can only be understood and advanced with the help of mathematics, or as Werner von Siemens formulated: “Without mathematics you are always in the dark.”

Keywords: Maximum Principle; Optimal Control Problem; Model Predictive Control; Single Shooting; Nonlinear Model Predictive Control (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-642-11248-5_2

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