Event-triggered stabilization for switched nonlinear systems under state-overshooting constraint

This article is concerned with the stabilization problem for discrete-time switched nonlinear systems where the switching signal is transmitted through a wireless network. In order to take the transient performances into account, a definition of state overshoot that measures how the state exceeds its non-zero initial state is introduced. By introducing the state-overshooting constraint, an event-triggered mechanism (ETM) is designed to generate a switching signal that guarantees exponential stability of the considered system. Some stability criteria without and with packet dropout of switching signals are obtained, and the relationship of the parameters with the convergence rate is revealed. Compared with time-driven switching and state-feedback switching methods, the proposed event-triggered switching mechanism can guarantee satisfactory system performance with a lower switching frequency. Finally, two numerical examples including a switched Chua's circuit are provided to illustrate the validity of the developed approach.