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Self-triggered fixed-time bipartite fault-tolerant consensus for nonlinear multiagent systems with function constraints on states

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  • Liu, Shanlin
  • Niu, Ben
  • Karimi, Hamid Reza
  • Zhao, Xudong

Abstract

This article presents a self-triggered bipartite fault-tolerant consensus control scheme in a fixed-time stability sense for multiagent systems (MASs) with function constraints on states. Neural networks are introduced to identify unknown nonlinearities, thereby relaxing constraints on unknown functions. Then, based on time-varying barrier Lyapunov functions including time and previous states, all states of the considered MASs are constrained to given ranges. In addition, to improve the utilization of system transmission resources, a self-triggered control method in which the next triggering time can be computed according to the current information of the controller is proposed. By applying the Lyapunov theory, the designed self-triggered controller can ensure that all signals containing consensus tracking errors are fixed-time bounded under a given communication topology, and the Zeno phenomenon is successfully avoided. Finally, a practical example is provided to testify the feasibility of the developed control scheme.

Suggested Citation

  • Liu, Shanlin & Niu, Ben & Karimi, Hamid Reza & Zhao, Xudong, 2024. "Self-triggered fixed-time bipartite fault-tolerant consensus for nonlinear multiagent systems with function constraints on states," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012699
    DOI: 10.1016/j.chaos.2023.114367
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    References listed on IDEAS

    as
    1. Liu, Shanlin & Niu, Ben & Zong, Guangdeng & Zhao, Xudong & Xu, Ning, 2022. "Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    2. Yumeng Cao & Ning Xu & Huanqing Wang & Xudong Zhao & Adil M. Ahmad, 2023. "Neural networks-based adaptive tracking control for full-state constrained switched nonlinear systems with periodic disturbances and actuator saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(14), pages 2689-2704, October.
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