Input-Output Finite-Time Stability for Switched T-S Fuzzy Delayed Systems With Time-Dependent Lyapunov-Krasovskii Functional Approach

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 11; pp. 1 - 15
• Main Authors: Sang, Hong, Wang, Peng, Zhao, Ying, Nie, Hong, Fu, Jun
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems; Delays; Dwell time; Finite-time unstable subsystems; Fuzzy systems; input-output finite-time stability; Stability criteria; Subsystems; Switched systems; switched T-S fuzzy systems; Switches; Symmetric matrices; Time dependence; time-dependent multiple Lyapunov-Krasovskii functional; time-varying delay
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2023.3269425

This research concerns the finite-time performance analysis for switched Takagi-Sugeno (T-S) fuzzy (STSF) systems subject to time-varying delay. Since the existing relevant results for finite-time synthesis of general switched systems require the finite-time stability property of the individual subsystem, a more general situation that the STSF systems comprised fully of finite-time unstable delayed subsystems are considered in the investigation. For surmounting this situation, a novel time-dependent multiple Lyapunov-Krasovskii functional (TDMLF) approach is developed by integrating a ranged dwell time switching mechanism. Then, the corresponding (input-output) finite-time stability criteria with less conservativeness are simultaneously derived for the (perturbed) STSF delayed systems to be (input-output) finite-time stable over the concerned finite-time interval. Finally, two illustrative examples are provided to demonstrate the accuracy and superiority of the developed (input-output) finite-time analysis framework.