A flatness based view on state controllability of simple hyperbolic distributed parameter systems. A string with interior point mass. | Zendy

Woittennek Frank | Zendy

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A flatness based view on state controllability of simple hyperbolic distributed parameter systems. A string with interior point mass.

Author(s) -

Woittennek Frank

Publication year - 2011

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201110409

Subject(s) - controllability , flatness (cosmology) , parametrization (atmospheric modeling) , string (physics) , mathematics , simple (philosophy) , boundary (topology) , state (computer science) , basis (linear algebra) , state space , transformation (genetics) , mathematical analysis , control theory (sociology) , computer science , physics , geometry , algorithm , mathematical physics , philosophy , chemistry , biochemistry , cosmology , epistemology , quantum mechanics , statistics , gene , radiative transfer , artificial intelligence , control (management)

A flatness based approach to the analysis of state controllability of systems described by one or more boundary coupled 1D hyperbolic second order equations is analyzed on the basis of a nontrivial example. Introducing a state which corresponds to the parametrization of the solution trajectories by a so called flat output and establishing the state transformation to the original state space the controllability problem reduces to a simple interpolation problem. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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