https://doi.org/10.1140/epjp/s13360-024-05121-2
Regular Article
Adaptive Control for group consensus of fuzzy singular fractional order multi-agent systems under non-fragile controller
1
College of Sciences, 110819, Shenyang, Liaoning, China
2
School of Information Science and Engineering, Northeastern University, 110819, Shenyang, China
3
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, 110819, Shenyang, China
b
zhangxuefeng@mail.neu.edu.cn
Received:
8
March
2024
Accepted:
20
March
2024
Published online:
9
April
2024
This paper concentrates on the adaptive control for consensus of fuzzy singular fractional order multi-agent systems (FOMASs) under the fractional order ![$$\alpha \in (0,1]$$](/articles/epjplus/abs/2024/04/13360_2024_Article_5121/13360_2024_Article_5121_tex_eq1.png)
. The objective of this paper is to design reasonable adaptive controllers to bring the modeled to a group consensus state. Firstly, to increase the interference resistance of the controller, a novel adaptive fuzzy non-fragile output feedback control law is designed for the fuzzy singular FOMASs. Then, the algorithm to determine the system group consensus is proposed with fewer decision variables. Furthermore, by using Lyapunov direct method, the lower bound is given, and then, closed-loop system is ultimately bounded. Finally, numerical simulations are performed to verify the feasibility and effectiveness of the proposed algorithm.
This work was supported in part by the National Natural Science Foundation of China under Grant 62103093 and the National Key Research and Development Program of China under Grant 2022YFB3305905.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
