Abstract
The main purpose of this paper is to study the stability of discrete-time impulsive switched T-S fuzzy systems with two kinds of asynchronous behaviors, including asynchronous behavior between impulse and switching, and asynchronous switching between controllers and subsystems. We divide the subsystems into stable and unstable subsystems, which respectively adopt slow switching and fast switching methods. Then, based on multiple Lyapunov functions, admissible edge-dependent average dwell time (AED-ADT) and admissible edge-dependent average impulsive interval (AED-AII) methods, sufficient conditions for global uniform exponential stability (GUES) of the closed-loop system are established, and the results are less conservative than that based on mode-dependent average dwell time (MDADT) and mode-dependent average impulsive interval (MDAII) methods. In addition, we provide the solvability conditions for the state feedback controller. Finally, several numerical examples are provided to verify the effectiveness of the results in this paper.
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Yufang Xie recevied her B.S. degree in automation from the School of Engineering, Qufu Normal University, in June 2022. Since September 2022, she has been pursuing an M.S. degree in control science and engineering at the School of Engineering, Qufu Normal University. Her research interests include impulsive switched systems and fuzzy systems.
Mengjie Li received her B.S. degree in information and computing sciences from the School of Science, North University of China, Taiyuan, China, in June 2021. Since September 2021, she has been working toward an M.S. degree in operations research and cybernetics from the School of Engineering, Qufu Normal University, Rizhao, China. Her research interests include impulsive switched systems and time-delay systems.
Lijun Gao received her M.S. and Ph.D. degrees in automation from Qufu Normal University, China, in 2004 and 2007, respectively. She is currently a Professor at Institute of Automation, Qufu Normal University. Her current research interests include switched systems, impulsive control, and Markov jump systems.
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Xie, Y., Li, M. & Gao, L. Stability Analysis of Asynchronous Impulsive Switched T-S Fuzzy Systems Based on the Admissible Edge-dependent Scheme. Int. J. Control Autom. Syst. 22, 2483–2493 (2024). https://doi.org/10.1007/s12555-023-0610-5
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DOI: https://doi.org/10.1007/s12555-023-0610-5