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Global finite‐time control for stochastic continuous nonlinear systems with FT‐SISS inverse dynamics and unknown control coefficients
Author(s) -
Shao Yu,
Xu Shengyuan
Publication year - 2021
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.5560
Subject(s) - nonlinear system , control theory (sociology) , integrator , mathematics , inverse , stability (learning theory) , inverse dynamics , controller (irrigation) , computer science , control (management) , physics , classical mechanics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , computer network , geometry , kinematics , bandwidth (computing)
This article focus on the finite‐time control for a class of stochastic continuous nonlinear systems suffered from unknown control coefficients and unmeasured stochastic inverse dynamics. Based on the modified homogeneous domination and adding a power integrator approach, the finite‐time controller is constructed to assure the global finite‐time stability in probability of stochastic continuous nonlinear systems, in which the negative effects generated by unknown control coefficients are dominated by a control gain. In addition, the use of finite‐time stochastic input‐to‐state stability enables us to produce the theoretical analysis of the finite‐time stability of the closed‐loop system. Finally, a simulation example is supplied to show the effectiveness of the proposed scheme.