Sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems

This paper investigates a global sampled-data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled-data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell-time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.