<p>This paper explores the practical predefined-time consensus (PTC) issue of second-order disturbed multi-agent systems (MASs) via dynamic event-triggered control (ETC) and self-triggered control (STC) under switching topologies. First, the practical predefined-time controllers are designed to guarantee that the consensus can be achieved for second-order MASs under different topologies. In contrast to fixed-time consensus (FTC), estimating the convergence time of the PTC does not necessitate obtaining global information, including the communication topology and initial states. Moreover, the magnitude of initial control inputs herein is usually milder, reducing the possibility of encountering saturation issues. To reduce the triggering times, dynamic variables are considered to adjust the triggering mechanism over system performance. Whereafter, the STC algorithm is presented based on the dynamic ETC scheme, eliminating the need for continuous monitoring. Furthermore, Zeno behavior is excluded for both dynamic ETC and STC. Finally, the availability of the proposed algorithm is showcased by taking the islanded microgrid system as an illustrative example.</p>

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Dynamic Event/Self-Triggered Predefined-Time Consensus of Second-Order Disturbed MASs Under Switching Topologies

  • Jinglong Shi,
  • Jun Liu,
  • Lei Xue,
  • Yongbao Wu,
  • Jian Liu,
  • Changyin Sun

摘要

This paper explores the practical predefined-time consensus (PTC) issue of second-order disturbed multi-agent systems (MASs) via dynamic event-triggered control (ETC) and self-triggered control (STC) under switching topologies. First, the practical predefined-time controllers are designed to guarantee that the consensus can be achieved for second-order MASs under different topologies. In contrast to fixed-time consensus (FTC), estimating the convergence time of the PTC does not necessitate obtaining global information, including the communication topology and initial states. Moreover, the magnitude of initial control inputs herein is usually milder, reducing the possibility of encountering saturation issues. To reduce the triggering times, dynamic variables are considered to adjust the triggering mechanism over system performance. Whereafter, the STC algorithm is presented based on the dynamic ETC scheme, eliminating the need for continuous monitoring. Furthermore, Zeno behavior is excluded for both dynamic ETC and STC. Finally, the availability of the proposed algorithm is showcased by taking the islanded microgrid system as an illustrative example.