Paper Info
Title
Quantized Interval Type-2 Fuzzy Control for Persistent Dwell-Time Switched Nonlinear Systems With Singular Perturbations
Abstract
This article investigates the problem of quantized fuzzy control for discrete-time switched nonlinear singularly perturbed systems, where the singularly perturbed parameter (SPP) is employed to represent the degree of separation between the fast and slow states. Taking a full account of features in such switched nonlinear systems, the persistent dwell-time switching rule, the technique of singular perturbation and the interval type-2 Takagi–Sugeno fuzzy model are introduced. Then, by means of constructing SPP-dependent multiple Lyapunov-like functions, some sufficient conditions with the ability to ensure the stability and an expected <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance of the closed-loop system are deduced. Afterward, through solving a convex optimization problem, the gains of the controller are obtained. Finally, the correctness of the proposed method and the effectiveness of the designed controller are demonstrated by an explained example.
Year
DOI
Venue
2022
10.1109/TCYB.2021.3049459
IEEE Transactions on Cybernetics
Keywords
DocType
Volume
Interval type-2 Takagi–Sugeno (IT2 T–S) fuzzy model,persistent dwell-time (PDT) switching rule,quantized control,singularly perturbed nonlinear systems
Journal
52
Issue
ISSN
Citations 
7
2168-2267
0
PageRank 
References 
Authors
0.34
43
5
Name
Order
Citations
PageRank
Jing Wang12823.94
Xinmiao Liu200.34
Jianwei Xia3368.51
Hao Shen422432.93
Ju H. Park55878330.37