Stability analysis of the switching system triggered by an error-type event under the nested saturation of the actuator

Switching systems offer an efficient approach for modeling and controlling intricate systems, and their associated topics have garnered significant attention in the realm of control research. Current research pertaining to the analysis of stability and the development of controllers for these systems often relies on methods such as dwell time or state feedback, which can lead to unnecessary switching and control actions. However, the event-triggered control method can effectively minimize the frequency of communication and control, thereby conserving valuable communication and computational resources. In light of this, an error-type event triggering mechanism(ETM) and state-dependent switching signal(STSS) are proposed for a kind of actuator nested saturation(NES) switching system, and compared with the mode-dependent average dwell time(MDADT) switching method, the advantage of excluding Zeno phenomenon without calculation is obtained. The technique of multiple Lyapunov functions(MLF) ensures stability by fulfilling the required conditions of the local exponential stability(LES) of the switched system(SCHS) and related inferences. The ultimate validation of the proposed method's efficiency comes through simulation examples. The approach introduced in this paper considers both the cost of switching and non-intrusive switching performance while minimizing the number of switches. Furthermore, a plan for achieving stable and effective switching in NES systems is outlined.