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Finite‐time stabilization for a class of stochastic low‐order nonlinear systems with unknown control coefficients
Author(s) -
Shao Yu,
Xu Shengyuan,
Li Yongmin,
Zhang Zhengqiang
Publication year - 2020
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.4882
Subject(s) - control theory (sociology) , integrator , nonlinear system , controller (irrigation) , compensation (psychology) , class (philosophy) , stability (learning theory) , triangular matrix , control (management) , computer science , mathematics , mathematical optimization , quantum mechanics , artificial intelligence , machine learning , psychoanalysis , pure mathematics , agronomy , invertible matrix , biology , psychology , computer network , physics , bandwidth (computing)
Summary This paper addresses the problem of finite‐time stabilization for a class of low‐order stochastic upper‐triangular nonlinear systems corrupted by unknown control coefficients. Unlike the relevant schemes, the control strategy draws into a dominate gain to cope with the deteriorative effects of both uncertain nonlinearities and unknown control coefficients without using traditional adaptive compensation method. Then, a state feedback controller is constructed by the adding a power integrator method and modified homogeneous domination approach, to ensure the finite‐time stability of the closed‐loop system. Finally, the effectiveness of proposed control strategy has been demonstrated by a simulation example.