Finite-time consensus of second-order multi-agent systems with jointly-connected topologies

Abstract

The consensus protocol with respect to time-varying jointly-connected topologies entitles multi-agent systems reach consensus under the circumstance with unstable communication. Additionally the protocol ensuring finite-time convergence benefits multi-agent systems in engineering practicability because the cooperative pattern is achievable in finite time. For homogeneous agents without predetermined leaders, this paper provides a decentralized finite-time consensus protocol. The proof based on LaSalle's invariance principle verified that, the protocol makes second-order agents asymptotically converge to an average consensus within finite time, even if the interaction topology among them is time-varying but stepwise jointly-connected. Finally the simulation compares the dynamics characteristics between systems with jointly-connected and disjoint-connected topologies.

Hierarchical and Distributed Optimal Control Strategy for Power and Power Quality of Microgrid Based on Finite-Time Consistency

“…Aiming at the problems of reasonable power distribution and frequency voltage optimization of islanded microgrid, and inspired by the MA-FTCA [25,26], this paper proposes a hierarchical distributed optimize strategy for power and power quality of islanded microgrid based on MA-FTCA.…”