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Adaptive state-feedback stabilization for a large class of high-order stochastic nonlinear systems. (English) Zbl 1215.93146
Summary: Under the more general conditions on the power order and the nonlinear functions, this paper investigates the problem of adaptive state-feedback stabilization for a class of high-order stochastic nonlinear systems with time-varying control coefficients. Based on the backstepping design method and homogeneous domination technique, the closed-loop system can be proved to be globally stable in probability and the states can be regulated to the origin almost surely. The efficiency of the state-feedback controller is demonstrated by a simulation example.

MSC:
93E15 Stochastic stability in control theory
93D15 Stabilization of systems by feedback
93B52 Feedback control
93C40 Adaptive control/observation systems
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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