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Funnel Control for Linear DAEs
Author(s) -
Berger Thomas
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310224
Subject(s) - funnel , control theory (sociology) , invertible matrix , nonlinear system , algebraic number , signal (programming language) , differential (mechanical device) , controller (irrigation) , zero (linguistics) , tracking (education) , mathematics , nonlinear control , computer science , control (management) , mathematical analysis , pure mathematics , engineering , physics , artificial intelligence , mechanical engineering , agronomy , linguistics , philosophy , quantum mechanics , biology , programming language , aerospace engineering , psychology , pedagogy
We study funnel control for linear differential‐algebraic multi‐input multi‐output systems which are not necessarily regular. We show that the funnel controller (that is a static nonlinear output error feedback) achieves ‐ for a special class of right‐invertible systems with asymptotically stable zero dynamics ‐ tracking of a reference signal by the output signal within a pre‐specified performance funnel. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)