Output feedback for nonlinear stochastic systems with uncertain terms and arbitrary switching

In this paper, the control issue under the uncertainties and the unknown switching law for a family of stochastic systems with utilizing output feedback design. Firstly, conversion of coordinates is adopted to handle the time-varying control gains. Secondly, in virtue of the conversion, we design a robust observer to address unknown switching law and uncertain terms. Then, by using the observer state and constructing a common Lyapunov function, an output feedback design method is obtained. With using the designed controller, the trajectory of the closed-loop system is bounded in probability.