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Global adaptive stabilization for high‐order uncertain time‐varying nonlinear systems with time‐delays
Author(s) -
Sun ZongYao,
Yang ShaoHua,
Li Ting
Publication year - 2016
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.3678
Subject(s) - control theory (sociology) , nonlinear system , lyapunov function , computer science , adaptive control , controller (irrigation) , class (philosophy) , scheme (mathematics) , artificial neural network , function (biology) , state (computer science) , control (management) , mathematical optimization , mathematics , algorithm , artificial intelligence , mathematical analysis , physics , quantum mechanics , evolutionary biology , agronomy , biology
Summary This paper focuses on the adaptive stabilization problem for a class of high‐order nonlinear systems with time‐varying uncertainties and unknown time‐delays. Time‐varying uncertain parameters are compensated by combining a function gain with traditional adaptive technique, and unknown multiple time‐delays are manipulated by the delicate choice of an appropriate Lyapunov function. With the help of homogeneous domination idea and recursive design, a continuous adaptive state‐feedback controller is designed to guarantee that resulting closed‐loop systems are globally uniformly stable and original system states converge to zero. The effectiveness of the proposed control scheme is illustrated by the stabilization of delayed neural network systems. Copyright © 2016 John Wiley & Sons, Ltd.