隐私保护下基于事件触发的有限时间比例 一致性控制

Event-based scaled consensus control with privacy preservation and finite-time convergence

  • 摘要: 该文研究了隐私保护下多智能体系统的有限时间比例一致性控制问题。针对一阶多智能体系统,设计了一种基于事件触发机制的有限时间隐私保护比例一致性控制方案。首先,引入事件触发机制,并构建事件触发函数,实现智能体间的非周期性信息交互,从而降低多智能体系统的通信带宽需求;随后,设计有限时间控制器以提高多智能体系统的比例一致性收敛性能;同时,为每个智能体设计了可独立实现的确定性时变输出映射函数,以实现连续时间内多智能体系统的隐私保护。所有智能体在公开传输信息前对其内部状态进行编码,而邻居智能体和外部入侵者无法获取智能体的真实状态信息,从而实现隐私保护。然后,基于Lyapunov稳定性理论,分析了闭环误差系统的稳定性并建立了收敛条件。最后,通过一系列数值仿真验证了比例一致性控制方案的有效性。

     

    Abstract: This paper investigates the finite-time scaled consensus control problem of multi-agent systems with privacy protection. For first-order multi-agent systems, a finite-time privacy-protected scaled consensus control scheme based on an event-triggering mechanism is designed. At first, the event-triggering mechanism is introduced, and an event-triggering function is constructed to facilitate aperiodic information interaction among agents, thereby reducing the communication bandwidth requirements of the multi-agent system. Subsequently, a finite-time controller is designed to enhance the convergence performance of the scaled consensus for the multi-agent system. Moreover, a deterministic time-varying output mapping function is independently designed for each agent to achieve privacy protection within the multi-agent system over continuous time. That is, before publicly transmitting information, all agents encode their internal states, preventing neighboring agents and external intruders from accessing the true state information, thus ensuring privacy protection. Then, based on the Lyapunov theory, the stability of the closed-loop error system is analyzed, and convergence conditions are established. Finally, the effectiveness of the scaled consensus control scheme is verified through a series of numerical simulations.

     

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