Finite-Time Control for Switched T-S Fuzzy Systems via a Dynamic Event-Triggered Mechanism

• Published in: IEEE transactions on fuzzy systems Vol. 29; no. 12; pp. 3899 - 3909
• Main Authors: Fei, Zhongyang, Shi, Shuang, Ahn, Choon Ki, Basin, Michael V.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems design; Controllers; Criteria; Data transmission; Dynamic event-triggered control; finite-time <inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> mathcal {H}_{\infty }</tex-math> </inline-formula> performance; finite-time boundedness; Fuzzy systems; Nonlinear systems; Switched systems; switched Takagi–Sugeno (T–S) fuzzy system; Switching; Takagi-Sugeno model
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2020.3029292

In this article, finite-time <inline-formula><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><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.