Event-triggered asynchronous control of nonlinear switched systems under actuator saturation

This paper address the asynchronous control problem of nonlinear switched systems with actuator saturation via a proposed event-triggered mechanism (PETM).Unlike the traditional hybrid event-triggered mechanism that suffers from performance degradation under asynchronous switching, the PETM introduces triggering interval constraints to implicitly bound the length of asynchronous switching intervals, thereby preventing system instability. The PETM is composed of alternating waiting intervals and event-detection intervals. Consequently, a piecewise Lyapunov functional containing a looped-functional is designed to adapt to the dynamic characteristics of different intervals. Under the premise of asynchronous switching, exponential stability criteria are established using the dwell time method, and estimation of the domain of attraction (DoA) is attained through solving an optimisation problem. Finally, an example is presented to validate the obtained results.