Flatness based trajectory planning for a semi‐linear hyperbolic system of first order p.d.e. modeling a tubular reactor | Zendy

Woittennek Frank | Zendy; Rudolph Joachim | Zendy; Knüppel Torsten | Zendy

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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)

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