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Global adaptive finite‐time stabilization for a class of p ‐normal nonlinear systems via an event‐triggered strategy
Author(s) -
Li Min,
Guo Jian,
Xiang Zhengrong
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.4983
Subject(s) - control theory (sociology) , integrator , nonlinear system , controller (irrigation) , computer science , class (philosophy) , adaptive control , scheme (mathematics) , backstepping , mathematics , control (management) , physics , artificial intelligence , computer network , bandwidth (computing) , quantum mechanics , agronomy , biology , mathematical analysis
Summary This article addresses the problem of global adaptive finite‐time control for a class of p ‐normal nonlinear systems via an event‐triggered strategy. A state feedback controller is first designed for the nominal system by adding a power integrator method. Then, by the skillful design of adaptive dynamic gain mechanism, a novel event‐triggered controller is constructed for uncertain nonlinear system without homogeneous growth condition. It is proved that the global finite‐time stabilization of p ‐normal nonlinear systems is guaranteed and the Zeno phenomenon is excluded. Finally, two examples are presented to indicate the effectiveness of the proposed control scheme.

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