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Output-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. (English) Zbl 1193.93146

Summary: This brief paper investigates the problem of output-feedback stabilization for a class of high-order stochastic nonlinear systems which are neither necessarily feedback linearizable nor affine in the control input. Based on the ideas of the homogeneous systems theory and the adding of a power integrator technique, an output-feedback controller is constructed to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. The efficiency of the output-feedback controller is demonstrated by a simulation example.

MSC:

93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93E15 Stochastic stability in control theory
93B18 Linearizations
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References:

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