Asynchronous Control of Fuzzy Singularly Perturbed System With a Dynamic Event-Triggered Strategy
Kun Liang, Wangli He, Jing Xu · IEEE Transactions on Fuzzy Systems · 2022
This article is mainly concerned with the asynchronous control problem of fuzzy singularly perturbed systems (FSPSs) by designing an effective dynamic event-triggered control (ETC) strategy. Different from the existing results, a sample-based dynamic event-triggering condition related to the singular perturbation parameter (SPP)$\varepsilon$is proposed. Particularly, an auxiliary variable is employed in the event-triggered mechanism, which changes with the fluctuation of the system state. By constructing a novel parameter-dependent Lyapunov functional, some sufficient conditions are derived to stabilize FSPSs and solve the$\varepsilon$-dependent control gain. Furthermore, the upper bound of SPP$\bar{\varepsilon }$related with the proposed control gain is determined. The Zeno behavior can be naturally avoided by applying the sample-based dynamic ETC. Finally, two examples including a nonlinear circuit are presented to validate the effectiveness of obtained results.