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A reduction paradigm for output regulation
Author(s) -
Celani F.,
Isidori A.,
Marconi L.
Publication year - 2007
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1262
Subject(s) - reduction (mathematics) , inverted pendulum , control theory (sociology) , nonlinear system , work (physics) , linear system , computer science , minimum phase , phase (matter) , control (management) , mathematics , engineering , artificial intelligence , mechanical engineering , mathematical analysis , chemistry , physics , geometry , organic chemistry , quantum mechanics
The goal of this paper is to provide a reduction paradigm for the design of output regulators which can be of interest for nonlinear as well as linear uncertain systems. The main motivation of the work is to provide a systematic design tool to deal with non‐minimum‐phase uncertain systems for which conventional high‐gain stabilization methods are not effective. The contribution of the work is two‐fold. First, this work extends a previous reduction paradigm for output regulation of nonlinear systems. Furthermore, in the case of theuncertain controlled dynamics being linear, we show how the proposed framework leads to a number of systematic design tools of interest for non‐minimum‐phase linear systems affected by severe uncertainties. A numerical control example of a linearized model of an inverted pendulum on a cart is presented. Copyright © 2007 John Wiley & Sons, Ltd.