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State‐Feedback Stabilization of Stochastic Nonlinear Systems with Time‐Varying Delay and Different Orders
Author(s) -
Wang Tiancheng,
Li Wuquan
Publication year - 2016
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.1202
Subject(s) - backstepping , control theory (sociology) , integrator , nonlinear system , full state feedback , strict feedback form , state (computer science) , controller (irrigation) , computer science , affine transformation , mathematics , control (management) , adaptive control , computer network , physics , bandwidth (computing) , quantum mechanics , algorithm , artificial intelligence , pure mathematics , agronomy , biology
This paper studies the problem of state feedback stabilization for a class of stochastic time‐varying delay nonlinear systems which are neither necessarily feedback linearizable nor affine in the control input. Based on the backstepping design method and the adding of a power integrator technique, a state feedback controller is constructed to ensure the origin of closed‐loop system is globally asymptotically stable in probability. The main design difficulty is how to deal with the different power orders, time‐varying delay and the nonsmooth system perturbations. The efficiency of the state feedback controller is demonstrated by a simulation example.