Vent-Triggered Adaptive Stabilization Control of Stochastic Nonlinear Systems with Unmodeled Dynamics

In this paper, we present a novel controller design method for stochastic nonlinear systems with unmodeled dynamics, uncertain parameters, and unknown covariance noise. In order to deal with these uncertainties, a new event-based small gain controller is designed. The event triggered scheme can reduce the computational burden caused by disturbance and noise. By combining the technique of changing supply rate with small gain condition, a stochastic input-to-state practically stability Lyapunov function (SISpSLF) is obtained for the subsystem. Simultaneously, the changing supply function is used to treat with unmodeled dynamics. Based on backstepping process and adaptive control approach, the influence of unknown covariance noise is overcome. It is proved that the designed state-feedback controller can ensure the overall system is stochastic input-to-state practically stability