Finite-time output feedback stabilization of lower-triangular nonlinear systems
Author(s) -
Zhi-Liang Zhao,
ZhongPing Jiang
Publication year - 2018
Publication title -
automatica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.132
H-Index - 277
eISSN - 1873-2836
pISSN - 0005-1098
DOI - 10.1016/j.automatica.2018.07.003
Subject(s) - control theory (sociology) , observer (physics) , nonlinear system , constructive , output feedback , controller (irrigation) , stability (learning theory) , nonlinear control , triangular matrix , mathematics , separation principle , computer science , control (management) , state observer , process (computing) , physics , machine learning , pure mathematics , agronomy , invertible matrix , quantum mechanics , artificial intelligence , biology , operating system
The finite-time stabilization of a general class of lower-triangular nonlinear systems using output feedback is addressed in this paper. The system nonlinearities are only required to be Holder continuous with output-dependent Holder coefficients. A new constructive output-feedback, finite-time controller design is proposed based on a finite-time observer. Rigorous finite-time stability analysis is given for the closed-loop observer–controller system. A practical example of controlling a robotic model is adopted to illustrate the proposed method.
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