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Adaptive stabilization and parameters estimation for a Kirchhoff's nonlinear beam with uncertain input disturbances under boundary output feedback control
Author(s) -
Wen RuiLi,
Chai ShuGen,
Feng Hongyinping
Publication year - 2017
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2771
Subject(s) - control theory (sociology) , nonlinear system , uniqueness , adaptive control , boundary (topology) , mathematics , beam (structure) , regulator , control (management) , computer science , engineering , mathematical analysis , physics , biochemistry , chemistry , civil engineering , quantum mechanics , artificial intelligence , gene
Summary In this paper, we consider the adaptive stabilization and parameters estimation for a Kirchhoff‐type nonlinear beam with one end fixed and control and uncertain input disturbances at another end. A high‐gain adaptive regulator is designed in terms of measured collocated end velocity and the estimate for unknown parameters of the uncertain input disturbances. The global existence and uniqueness of the classical solution of the closed‐loop system are justified. It is shown that the system is stable, and meanwhile, the estimated parameters converge to the unknown parameters.