Mathematical Description of Manufacturing Processes

Victor A. Skormin
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Victor A. Skormin: Binghamton University

Chapter Chapter 2 in Introduction to Process Control, 2016, pp 37-110 from Springer

Abstract: Abstract Mathematical description of a manufacturing process resulting in a mathematical model presents a basis for objective analysis, control, and optimization. Model-based process analysis includes prediction of the process outcome and its particular characteristics, “what if” analysis, and the evaluation of the effects of particular factors on the process. Mathematical models in the form of transfer functions are invaluable for the analysis and synthesis of control systems maintaining the desired operation of the process in spite of various disturbance factors. A mathematical model allows for the formalization of the process optimization problem, and serves as a “guinea pig” during the optimization search. Implemented in a simulation environment, a mathematical model presents an ideal testbed for the validation of the most advanced control and optimization schemes. In order to be usable, a mathematical model must be updated and valid. This section presents practical techniques for the development, validation, and updating of mathematical models utilizing statistical data.

Keywords: Mathematical models; Parameter estimation; Cluster analysis; Singular value decomposition (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-3-319-42258-9_2

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DOI: 10.1007/978-3-319-42258-9_2

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