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Feedforward control design for a semilinear wave equation
Author(s) -
Wagner Marc Oliver,
Meurer Thomas,
Kugi Andreas
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910003
Subject(s) - flatness (cosmology) , feed forward , piecewise , trajectory , formal power series , convergence (economics) , control theory (sociology) , power series , boundary (topology) , mathematics , series (stratigraphy) , wave equation , set (abstract data type) , mathematical analysis , control (management) , computer science , physics , engineering , control engineering , paleontology , cosmology , quantum mechanics , astronomy , economics , biology , programming language , economic growth , artificial intelligence
This paper presents a flatness‐based approach for the solution of the feedforward control problem for a boundary controlled semilinear wave equation. The solution to a given piecewise analytical desired output trajectory is shown to be piecewise analytical, which allows the application of a formal power series approach on suitable subregions in adequate coordinates. The subregions are determined by the characteristic curves of the system passing through the non‐analyticity points of the desired trajectory. Convergence of the solution is demonstrated and simulation results are given for some set of parameters. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)