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Constraint adaptive output regulation of output feedback systems with application to electrostatic torsional micromirror
Author(s) -
Sun Weijie,
Lan Jianglin,
Yeow John T. W.
Publication year - 2013
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.3100
Subject(s) - control theory (sociology) , constraint (computer aided design) , nonlinear system , regulator , convergence (economics) , lyapunov function , adaptive control , function (biology) , computer science , mathematics , control (management) , physics , artificial intelligence , biochemistry , chemistry , geometry , quantum mechanics , economics , gene , economic growth , evolutionary biology , biology
Summary This paper studies a constraint adaptive output regulation design for a class of nonlinear systems with an unknown exosystem by output feedback control. First, by introducing an internal model with some known design parameter, our concerned problem may be formulated as a specific regulation problem with output constraint. Then, the barrier Lyapunov function technique is further integrated to approach the problem. It is shown that such a constraint adaptive output regulation problem is solvable without constraint violation. In particular, the constructed regulator cannot only keep the boundedness of the closed‐loop system signals but also guarantees the parameter convergence for the unknown parameter vector in the exosystem. As an application, it is illustrated that our result is applicable in tracking the control of an electrostatic torsional micromirror with physical geometry constraint. Copyright © 2013 John Wiley & Sons, Ltd.