<p>For multi-agent systems, external interference is an inescapable factor. Consequently, how to enable these systems to achieve flocking behavior precisely in the face of such interference is a significant problem worthy of study. In this paper, we address this issue by designing two intermittent control protocols for multi-agent systems to achieve finite/fixed-time flocking. From a theoretical perspective, it is about achieving finite/fixed-time stability in the presence of external force functions. In light of this, we introduce novel fixed-time and finite-time stability lemmas, which can be applied to a class of systems with discontinuous right-hand sides. We prove that, under certain conditions, the multi-agent systems with intermittent controls can achieve finite/fixed-time flocking, thereby enhancing the system’s robustness against external forces. Finally, the numerical simulations comprehensively exhibit the effectiveness of our control protocols.</p>

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Intermittent controls for the finite/fixed-time flocking of multi-agent systems with external force

  • Rundong Zhao,
  • Yicheng Liu,
  • Xuying Xiong

摘要

For multi-agent systems, external interference is an inescapable factor. Consequently, how to enable these systems to achieve flocking behavior precisely in the face of such interference is a significant problem worthy of study. In this paper, we address this issue by designing two intermittent control protocols for multi-agent systems to achieve finite/fixed-time flocking. From a theoretical perspective, it is about achieving finite/fixed-time stability in the presence of external force functions. In light of this, we introduce novel fixed-time and finite-time stability lemmas, which can be applied to a class of systems with discontinuous right-hand sides. We prove that, under certain conditions, the multi-agent systems with intermittent controls can achieve finite/fixed-time flocking, thereby enhancing the system’s robustness against external forces. Finally, the numerical simulations comprehensively exhibit the effectiveness of our control protocols.