@article{Geng2024, 
author = {Han Geng and Huasheng Zhang},
title = {A new  H∞ control method of switched nonlinear systems with persistent dwell time:  H∞ fuzzy control criterion with convergence rate constraints},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {26092-26113},
keywords = {switched T-S fuzzy systems, H∞ control, convergence rate, persistent dwell time, time-varying delay},
url = {https://www.sciopen.com/article/10.3934/math.20241275},
doi = {10.3934/math.20241275},
abstract = {This study aims to explore the problem of  H∞ fuzzy control with an adjustable convergence rate for switched nonlinear systems with time-varying delays under the persistent dwell time (PDT) switching. Compared to the widely studied dwell time (DT) switching or average dwell time (ADT) switching in existing literature, PDT switching provides a more comprehensive consideration of the switching frequency and has a broader range of applicability. Subsequently, by combining the interval stability definition, T-S fuzzy model, PDT technique, and Lyapunov-Krasovskii (L-K) functional, a new  H∞ fuzzy control criterion for adjusting the convergence rate of switched nonlinear systems with time-varying delays is proposed. This criterion enables the development of a novel method for constructing  H∞ fuzzy controllers, which can regulate the system's convergence rate and achieve the specified  H∞ performance. Combining the above methods, an algorithm is introduced to precisely control the convergence rate of the target system. Finally, the effectiveness of this method is validated through a control example of a single-link robot arm.}
}