A Double-Mode-Dependent Event-Triggered Control Scheme for Asynchronous Switched Linear Systems

This paper proposes a double-mode-dependent event-triggered mechanism (ETM) to deal with the exponential stabilization issue of asynchronous switched linear systems. Considering that the system state cannot be fully obtained, a state observer is designed. The ETM incorporates the observer state, a triggering upper bound and a jump function together to compensate for the asynchronous switching case. Comprehensive consideration of the designed ETM and the observer state, an augmented system model is established. In comparison with previous studies that impose a limit on system switching times within the triggering interval, zero trigger and p triggers within a switching interval of the system are both considered. The exponential stabilization is studied based on double-mode-dependent multiple Lyapunov functions and the average dwell time (ADT). Meanwhile, an algorithm for the observer gain and triggering parameter are given. Besides, it proves that the minimum triggering interval is greater than zero, thus avoiding the Zeno behavior. Finally, numerical results are given to illustrate the validity and practicability of this method.