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Adaptive finite‐time control for high‐order nonlinear systems with mismatched disturbances
Author(s) -
Yang Hongjiu,
Wang Yingjie,
Yang Yana
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.2765
Subject(s) - backstepping , control theory (sociology) , nonlinear system , adaptive control , controller (irrigation) , time derivative , observer (physics) , sliding mode control , computer science , mathematics , control (management) , mathematical analysis , artificial intelligence , physics , quantum mechanics , agronomy , biology
Summary In this paper, adaptive finite‐time control is addressed for a class of high‐order nonlinear systems with mismatched disturbances. An adaptive finite‐time controller is designed in which variable gains are adjusted to ensure finite‐time stabilization for the closed‐loop system. Chattering is reduced by a designed adaptive sliding mode observer which is also used to deal with the mismatched disturbances in finite time. The proposed adaptive finite‐time control method avoids calculating derivative repeatedly of traditional backstepping methods and reduces computational burden effectively. Three numerical examples are given to illustrate the effectiveness of the proposed method.