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Adaptive fault‐tolerant control for a class of output‐constrained nonlinear systems
Author(s) -
Jin Xu
Publication year - 2015
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.3293
Subject(s) - control theory (sociology) , lyapunov function , nonlinear system , parametric statistics , tracking error , computer science , constraint (computer aided design) , adaptive control , convergence (economics) , scheme (mathematics) , fault tolerance , mathematics , mathematical optimization , control (management) , distributed computing , statistics , physics , geometry , quantum mechanics , artificial intelligence , economics , economic growth , mathematical analysis
Summary In this work, by incorporating a tan ‐type barrier Lyapunov function into the Lyapunov function design, we present a novel adaptive fault‐tolerant control (FTC) scheme for a class of output‐constrained multi‐input single‐output nonlinear systems with actuator failures under the perturbation of both parametric and nonparametric system uncertainties. We show that under the proposed adaptive FTC scheme, exponential convergence of the output tracking error into a small set around zero is guaranteed, while the constraint requirement on the system output will not be violated during operation. In the end, two illustrative examples are presented to demonstrate the effectiveness of the proposed FTC scheme. Copyright © 2015 John Wiley & Sons, Ltd.