Robust Control for Interval Type-2 T-S Fuzzy Discrete Systems with Input Delays and Cyber Attacks

This paper focuses on the robust control issue for interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy discrete systems with input delays and cyber attacks. The lower and upper membership functions are first utilized to IT2 fuzzy discrete systems to capture parameter uncertainties. By considering the infl...

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Bibliographic Details
Published in:Journal of systems science and complexity 2023-08, Vol.36 (4), p.1443-1462
Main Authors: Liu, Chuang, Wu, Jinxia, Yang, Weidong
Format: Article
Language:English
Subjects:
Algorithms
Closed loops
Complex Systems
Control
Controllers
Cybersecurity
Discrete systems
Feedback control
Fuzzy control
Fuzzy systems
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Parameter uncertainty
Robust control
Statistics
Systems Theory
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Summary:This paper focuses on the robust control issue for interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy discrete systems with input delays and cyber attacks. The lower and upper membership functions are first utilized to IT2 fuzzy discrete systems to capture parameter uncertainties. By considering the influences of input delays and stochastic cyber attacks, a newly fuzzy robust controller is established. Afterward, the asymptotic stability sufficient conditions in form of LMIs for the IT2 closed-loop systems are given via establishing a Lyapunov-Krasovskii functional. Afterward, a solving algorithm for obtaining the controller gains is given. Finally, the effectiveness of the developed IT2 fuzzy method is verified by a numerical example.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-023-2215-8