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.