Adaptive fuzzy fixed time formation control of state constrained nonlinear multi-agent systems against FDI attacks

Jinxin Du; Lei Liu; Jinxin Du; Lei Liu

doi:10.3934/mbe.2024207

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 3: 4724-4741. doi: 10.3934/mbe.2024207

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Adaptive fuzzy fixed time formation control of state constrained nonlinear multi-agent systems against FDI attacks

Jinxin Du ,
Lei Liu ^,

College of Science, Liaoning University of Technology, Jinzhou, China

Academic Editor: Xiaodi Li

Received: 10 January 2024 Revised: 09 February 2024 Accepted: 21 February 2024 Published: 29 February 2024

In this manuscript, based on nonlinear multi-agent systems (MASs) with full state constraints and considering security control problem under false data injection (FDI) attacks, the fixed-time formation control (FTFC) protocol was designed, which can ensure that all agents follow the required protocol within a fixed time. Fuzzy logic system (FLS) was used to compensate and approximate the uncertain function, which improved safety and robustness of the formation process. Finally, the fixed-time theory and Lyapunov stability theory were addressed to prove the effectiveness of the proposed method, and simulation examples verified the effectiveness of the theory.
- MASs,
- full state constraints,
- fixed-time formation,
- FDI attacks,
- backstepping
Citation: Jinxin Du, Lei Liu. Adaptive fuzzy fixed time formation control of state constrained nonlinear multi-agent systems against FDI attacks[J]. Mathematical Biosciences and Engineering, 2024, 21(3): 4724-4741. doi: 10.3934/mbe.2024207

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Abstract

In this manuscript, based on nonlinear multi-agent systems (MASs) with full state constraints and considering security control problem under false data injection (FDI) attacks, the fixed-time formation control (FTFC) protocol was designed, which can ensure that all agents follow the required protocol within a fixed time. Fuzzy logic system (FLS) was used to compensate and approximate the uncertain function, which improved safety and robustness of the formation process. Finally, the fixed-time theory and Lyapunov stability theory were addressed to prove the effectiveness of the proposed method, and simulation examples verified the effectiveness of the theory.

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