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Almost sure stability of second‐order nonlinear stochastic system with Lévy noise via sliding mode control
Author(s) -
Li Mengling,
Deng Feiqi,
Liu Xinzhi
Publication year - 2019
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.4707
Subject(s) - control theory (sociology) , sliding mode control , nonlinear system , noise (video) , lyapunov function , stability (learning theory) , mode (computer interface) , controller (irrigation) , mathematics , computer science , control (management) , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , image (mathematics) , biology , operating system
Summary The almost sure stability of second‐order nonlinear stochastic system with Lévy noise is studied by sliding mode control method. A conventional linear sliding mode surface is first constructed, by employing stochastic analysis technique combined with Lyapunov function method, sufficient conditions are established to ensure the almost sure stability of the system dynamics. Then, a nonsingular terminal sliding mode control technique is used for our system, corresponding controller is designed to guarantee the desired performance. Finally, two examples are given to show the validity of our results.