Event-Triggered Transient Performance Control for Switched Singular Systems via Multiple Barrier Functions

This study addresses the event-triggered transient performance control problem for switched singular systems (SSSs). Different from the classical transient performance control method, a novel transient performance framework for SSSs is established, where multiple Lyapunov functions (MLFs) and multiple barrier functions (MBFs) are used as upper and lower performance boundaries to constrain the states. And a more accurate consistency projector is developed to better capture the state jump characteristic inherent in SSSs. To enhance sampling efficiency and reduce control costs, a new hybrid event-triggering mechanism (ETM) is designed by combining the advantages of static ETM and dynamic ETM. Based on this ETM, the average dwell time method (ADT) and the MLFs method, sufficient conditions expressed as linear matrix inequalities (LMIs) are established to guarantee that the closed-loop system is regular, impulse-free, globally uniformly asymptotically stable (GUAS), and satisfies transient performance requirements. Moreover, the theoretical analysis further proves that there is no Zeno phenomenon. Finally, comparative numerical simulations and a DC motor drives loads application validate the efficacy of the proposed approach.