Output-Based Event-Triggered Control for Nonlinear Stochastic Impulsive Systems

This paper investigates an output-based event-triggered control (ETC) strategy for nonlinear systems, which are disturbanced by additive colored-noises and stochastic impulses. Due to the impulsive disturbances with different amplitudes, and the modes of the impulses are always interfered by some stochastic factors, we assume that the modes follow a Markovian transition process. The event-triggered controller offers higher feasibility compared to fixed-time triggering and state-dependent triggering methods, which does not depend on all state variables of the system and can be better suited to actual physical systems. Utilizing the properties of impulse system theory and Lyapunov conditions, a criteria for the desired triggering mechanism and control gain can be derived, which achieves noise-to-state exponential stable in the mean sqaure (NSES-2-M) for the nonlinear stochastic impulsive systems. In conclusion, the validity of the proposed control strategy is demonstrated via a numerical example incorporating simulation.