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Adaptive Stabilization for a Class of Stochastic Nonlinear Systems with P randtl‐ I shlinskii Hysteresis
Author(s) -
Ma Yike,
Ji Haibo,
Liu Wei
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.741
Subject(s) - hysteresis , control theory (sociology) , nonlinear system , class (philosophy) , controller (irrigation) , covariance , mathematics , computer science , physics , control (management) , statistics , quantum mechanics , artificial intelligence , agronomy , biology
This paper deals with a class of stochastic nonlinear systems with unknown hysteresis. A stochastic L yapunov method is applied for systems in strict‐feedback form driven by unknown P randtl‐ I shlinskii hysteresis and W iener noises of unknown covariance. An adaptive controller is obtained which guarantees the global asymptotic stabilization in probability. Simulation results are provided to illustrate the effectiveness of the proposed approach.