Finite-Time Control for Switched T–S Fuzzy Systems via a Dynamic Event-Triggered Mechanism
Zhongyang Fei, Shuang Shi, Choon Ki Ahn, Michael Basin
Abstract
In this article, finite-time <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {H}_{\infty }$</tex-math></inline-formula> control is studied for a kind of continuous-time-switched Takagi–Sugeno (T–S) fuzzy systems with mode-dependent average dwell-time (MDADT) switching. The dynamic event-triggered mechanism (ETM) is utilized to monitor the data transmission from the system plant to the controller, which more efficiently reduces the amount of transmitted data than the conventional static one. First, it is demonstrated that the adopted dynamic ETM can avoid the Zeno behavior, and also yield a larger minimal interexecution time compared with the static one. Then, an improved criterion of finite-time <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {H}_{\infty }$</tex-math></inline-formula> performance is introduced by utilizing a novel Lyapunov-like function with an internal dynamic variable. Based on this criterion, a dynamic event-triggered controller is designed together with a switching signal subject to the MDADT property. Finally, the validity, and virtues of the proposed control scheme are verified by two simulation examples.