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Observer-Based Event-Triggered Secure Consensus Control for Multi-Agent Systems

Jingyao Wang, Zeqin Zeng, Jinghua Guo, Zhisheng Duan

Abstract

This study delves into the intricate challenges encountered by multi-agent systems (MASs) operating within environments that are subject to deception attacks and Markovian randomly switching topologies, particularly in the context of event-triggered secure consensus control. To address these complexities, a novel observer-based distributed event-triggered control scheme is introduced. This approach uses local information to dynamically adjust its triggered conditions, thereby enhancing the utilization of network resources. Additionally, the design of the observer based secure consensus controller is distributed, leveraging the local information of each individual agent. Furthermore, our event-triggered mechanism theoretically precludes the occurrence of Zeno behavior in the triggering time series. Finally, simulation results underscore the superiority of our proposed method when compared to existing techniques, thereby validating its effectiveness and applicability in the event-triggered secure consensus control of MASs.

Observer-Based Event-Triggered Secure Consensus Control for Multi-Agent Systems

Abstract

This study delves into the intricate challenges encountered by multi-agent systems (MASs) operating within environments that are subject to deception attacks and Markovian randomly switching topologies, particularly in the context of event-triggered secure consensus control. To address these complexities, a novel observer-based distributed event-triggered control scheme is introduced. This approach uses local information to dynamically adjust its triggered conditions, thereby enhancing the utilization of network resources. Additionally, the design of the observer based secure consensus controller is distributed, leveraging the local information of each individual agent. Furthermore, our event-triggered mechanism theoretically precludes the occurrence of Zeno behavior in the triggering time series. Finally, simulation results underscore the superiority of our proposed method when compared to existing techniques, thereby validating its effectiveness and applicability in the event-triggered secure consensus control of MASs.

Paper Structure

This paper contains 9 sections, 1 theorem, 73 equations, 12 figures, 1 table.

Key Result

Lemma 1

The threshold parameters designed by (auxiliary variable) are positive, i.e., ${{\varpi _i}\left( t \right)}>0, i=1,\ldots,N$ for $t\geq 0$.

Figures (12)

  • Figure 1: Framework for the distributed secure control protocol of the MASs under deception attacks and Markovian randomly switching communication topologies.
  • Figure 2: Communication topologies: (a) union graph of ${{\cal G}_1}$ and ${{\cal G}_2}$; (b) ${{\cal G}_1}$; (c) ${{\cal G}_2}$. In ${{\cal G}_1}$ and ${{\cal G}_2}$, spacecrafts $1$, $2$, $3$, $5$, $6$, $8$, $9$ and $10$ are subject to random communication failure.
  • Figure 3: Illustration depicting the topology switching procedure.
  • Figure 4: Trajectories of position in X-axis.
  • Figure 5: Trajectories of position in Y-axis.
  • ...and 7 more figures

Theorems & Definitions (6)

  • Remark 1
  • Lemma 1
  • Remark 2
  • Remark 3
  • Remark 4
  • Remark 5