Robust adaptive output-feedback controller design for stochastic nonlinear systems

In this paper, the stabilization problem of stochastic nonlinear system with modeling errors is considered. An augmented observer is first presented to counteract the unmeasurable states as well as modeling errors. An adaptive output feedback controller is designed which guarantees that all signals in closed-loop system are bounded in probability, the output is regulated to the origin almost surely, and meanwhile the true value of the sensor disturbance in control is identified.