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Almost output regulation of switched linear dynamics with switched exosignals
Author(s) -
Yuan Chengzhi,
Wu Fen
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.3735
Subject(s) - control theory (sociology) , dwell time , controller (irrigation) , hybrid system , linear system , linear matrix inequality , matrix (chemical analysis) , exponential stability , stability (learning theory) , set (abstract data type) , computer science , mathematics , control (management) , nonlinear system , mathematical optimization , physics , medicine , clinical psychology , mathematical analysis , materials science , quantum mechanics , artificial intelligence , machine learning , agronomy , composite material , biology , programming language
Summary For systems with switched linear dynamics and affected by persistent switched exosignals, we propose a new hybrid control approach to achieve not only closed‐loop stability but also tracking and/or rejection of persistent references/disturbances generated by multiple exosystems, namely, output regulation. It is assumed that both controlled plant and exosystem are described by switched linear models. The proposed hybrid controller/output regulator is specified as a switching impulsive system, where the controller states will undergo impulsive jumps at each switching instant. Based on the average dwell time switching technique, it has been shown how to completely reduce the synthesis problem of the hybrid controller to a set of linear matrix equations and linear matrix inequalities. Both continuous‐time and discrete‐time cases are discussed. To demonstrate its usefulness, the proposed hybrid control method has been applied to solve the output regulation problem for a mechanical system. Copyright © 2017 John Wiley & Sons, Ltd.