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Flatness based trajectory planning for a semi‐linear hyperbolic system of first order p.d.e. modeling a tubular reactor
Author(s) -
Woittennek Frank,
Rudolph Joachim,
Knüppel Torsten
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910002
Subject(s) - flatness (cosmology) , trajectory , dimension (graph theory) , mathematics , boundary value problem , convection , control theory (sociology) , boundary (topology) , mathematical analysis , cauchy distribution , first order , hyperbolic partial differential equation , heat exchanger , control (management) , computer science , mechanics , engineering , physics , mechanical engineering , pure mathematics , partial differential equation , cosmology , quantum mechanics , astronomy , artificial intelligence
Trajectory planning and open loop control design for semi‐linear hyperbolic systems in one space dimension is considered. A “flatness based” method is introduced on an example of a convection dominated tubular reactor with heat exchanger. More generally, the method applies to boundary value problems that can be translated into Cauchy problems w.r.t. the spatial coordinate. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)