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State‐feedback stabilization for stochastic high‐order nonlinear systems with SISS inverse dynamics
Author(s) -
Liu Liang,
Xie XueJun
Publication year - 2012
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.288
Subject(s) - control theory (sociology) , lyapunov function , integrator , nonlinear system , inverse , state (computer science) , inverse dynamics , controller (irrigation) , mathematics , inverse function , computer science , control (management) , physics , artificial intelligence , algorithm , computer network , geometry , kinematics , bandwidth (computing) , quantum mechanics , classical mechanics , agronomy , biology
This paper investigates the problem of state‐feedback control for a class of stochastic high‐order nonlinear systems with stochastic inverse dynamics. Under the assumption that the inverse dynamics of the subsystem are stochastic input‐to‐state stable (SISS), by extending through adding a power integrator technique, choosing an appropriate Lyapunov function and using the idea of changing supply function, a smooth state‐feedback controller is explicitly constructed to render the system globally asymptotically stable in probability and the states can be regulated to the origin. A simulation example is provided to show the effectiveness of the proposed scheme.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society