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Leader-following bipartite consensus of multiple uncertain Euler-Lagrange systems under deception attacks

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  • Li, Baoxing
  • Han, Tao
  • Xiao, Bo
  • Zhan, Xi-Sheng
  • Yan, Huaicheng

Abstract

This article proposes the multiple Euler-Lagrange systems approach to achieve leader-following bipartite consensus is investigated when the systems are under the uncertain systems and the impact of deception attacks. An adaptive distributed observer containing filters is built for nonlinear systems where the matrix is not known specifically. There are two main purposes served by the adaptive distributed observer. the first is to estimate the state and pass the information to each follower through the system’s communication network when the system’s matrix is not known certainly, and the second is to eliminate deception attacks added to ELSs by the filters. Then, on the basis of this adaptive distributed observer functioning in the system, the problem for multiple ELSs of leader-following bipartite consensus will be solved by using the Lyapunov method and the deterministic equivalence principle. Finally, numerical simulations will be carried out to demonstrate the effectiveness of the proposed strategies.

Suggested Citation

  • Li, Baoxing & Han, Tao & Xiao, Bo & Zhan, Xi-Sheng & Yan, Huaicheng, 2022. "Leader-following bipartite consensus of multiple uncertain Euler-Lagrange systems under deception attacks," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    • Handle: RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322003010
    DOI: 10.1016/j.amc.2022.127227
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    References listed on IDEAS

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    1. Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2021. "Stochastic faulty estimator-based non-fragile tracking controller for multi-agent systems with communication delay," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Peng, Zhinan & Hu, Jiangping & Shi, Kaibo & Luo, Rui & Huang, Rui & Ghosh, Bijoy Kumar & Huang, Jiuke, 2020. "A novel optimal bipartite consensus control scheme for unknown multi-agent systems via model-free reinforcement learning," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    3. Wang, Wei & Huang, Chi & Huang, Chuangxia & Cao, Jinde & Lu, Jianquan & Wang, Li, 2020. "Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses," Applied Mathematics and Computation, Elsevier, vol. 370(C).
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    Cited by:

    1. Xu, Ziqiang & Li, Yun & Zhan, Xisheng & Yan, Huaicheng & Han, Yiyan, 2024. "Time-varying formation of uncertain nonlinear multi-agent systems via adaptive feedback control approach with event-triggered impulsive estimator," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    2. Guo, Xinchen & Wei, Guoliang, 2023. "Distributed sliding mode consensus control for multiple discrete-Time Euler-Lagrange systems," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    3. Jin, Xiaozheng & Tong, Xingcheng & Chi, Jing & Wu, Xiaoming & Wang, Hai, 2024. "Nonlinear estimator-based funnel tracking control for a class of perturbed Euler-Lagrange systems," Applied Mathematics and Computation, Elsevier, vol. 471(C).

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