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Semi‐global stabilization via linear sampled‐data output feedback for a class of uncertain nonlinear systems
Author(s) -
Zhang Chuanlin,
Jia Ruting,
Qian Chunjiang,
Li Shihua
Publication year - 2014
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.3189
Subject(s) - control theory (sociology) , nonlinear system , observer (physics) , controller (irrigation) , stability (learning theory) , mathematics , class (philosophy) , output feedback , scaling , state (computer science) , computer science , control (management) , algorithm , artificial intelligence , physics , geometry , quantum mechanics , machine learning , agronomy , biology
Summary This paper develops a systematic design scheme to construct a linear sampled‐data output feedback controller that semi‐globally asymptotically stabilizes a class of uncertain systems with both higher‐order and linear growth nonlinearities. To deal with the uncertain coefficients in the systems, a robust state feedback stabilizer and a reduced‐order sampled‐data observer, both in the linear form, are constructed and then integrated together. The semi‐global attractivity and local stability are delicately proved by carefully selecting a scaling gain using the output feedback domination approach and a sampling period sufficiently small to restrain the state growth under a zero‐order‐holder input. Copyright © 2014 John Wiley & Sons, Ltd.