Dwell-Time-Dependent Bumpless Transfer Control for Discrete-Time Switched Interval Type-2 Fuzzy Systems

• Published in: IEEE transactions on fuzzy systems Vol. 30; no. 7; pp. 2426 - 2437
• Main Authors: Zhang, Siyuan, Zhao, Jun
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.07.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Bumpless transfer control; Closed loop systems; Discrete time systems; discrete-time switched fuzzy systems; Dwell time; dwell-time constraint; Fuzzy control; Fuzzy sets; Fuzzy systems; Industries; interval type-2 (IT2) fuzzy; Liapunov functions; Linear matrix inequalities; Mathematical analysis; Nonlinear systems; Robot arms; state-dependent switching; Switched systems; Switches; Time dependence
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2021.3083322

This article investigates the <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> bumpless transfer control problem for a class of discrete-time switched interval type-2 (IT2) fuzzy systems subject to dwell-time constraint. We proposed a novel description of bumpless transfer performance for discrete-time switched IT2 fuzzy systems. With the aid of the dwell-time-dependent Lyapunov function approach and a novel mixed switching strategy, sufficient conditions ensuring the asymptotic stability with an <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> bumpless transfer performance are derived. More incisively, the bumpless transfer performance in this article is only required over the subintervals of the active interval, which is more general and relaxes the limitation of traditional bumpless transfer performance in the existing results. Besides, dwell-time-dependent bumpless transfer IT2 fuzzy controllers are designed in the form of linear matrix inequalities. Finally, a single-link robot arm model is employed to demonstrate the potential and effectiveness of the derived theoretical results.