Estimation of maximum allowable sampling interval for hybrid systems with aperiodic sampling using the event-triggered approach

The paper investigates the estimation problem for a class of nonlinear hybrid systems with aperiodic sampling. First, an aperiodic sampling mechanism is proposed using the event-triggered approach, in which a aperiodic sampling hybrid model is developed to describe the nonlinear systems. Second, the exponential stability is analyzed for the considered nonlinear hybrid model based on the Lyapunov function methods, and the stability rate is studied under different Lyapunov functions. In particular, a sufficient condition is provided to analyze the linear hybrid model. Third, an improved estimation method is proposed to derive the maximum allowable sampling interval (MASI) by constructing a new ordinary differential equation. Finally, several practical models are illustrated to verify the effectiveness of the proposed theorems.