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A result on output regulation of lower triangular systems with unknown high‐frequency gain sign
Author(s) -
Guo Meichen,
Xu Dabo,
Liu Lu
Publication year - 2017
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.3835
Subject(s) - control theory (sociology) , triangular matrix , nonlinear system , sign (mathematics) , controller (irrigation) , estimator , internal model , class (philosophy) , computer science , automatic gain control , mathematics , control (management) , telecommunications , artificial intelligence , physics , mathematical analysis , statistics , quantum mechanics , pure mathematics , agronomy , invertible matrix , biology , amplifier , bandwidth (computing)
Summary This paper concerns global robust output regulation of a class of nonlinear lower triangular systems with an unknown high‐frequency gain as well as an unknown exosystem. A novel class of internal model candidates is integrated with the output regulation framework. As a result, stabilization of the augmented system can be performed without parameter estimators. However, the new internal models bring challenges to the stabilization of the augmented system. To overcome these challenges, we propose a new recursive controller design procedure and use it to develop a Nussbaum‐gain‐based controller. This work extends the existing results on nonlinear output regulation of lower triangular systems to the case where both the high‐frequency gain sign and the exosystem are unknown. Copyright © 2017 John Wiley & Sons, Ltd.