Fixed-time partial component consensus for nonlinear multi-agent systems with/without external disturbances

Abstract

The concept of fixed-time partial component consensus (FdTPCC) is given and FdTPCC for nonlinear multi-agent systems (MASs) with/without disturbance is discussed. Whether under an undirected graph or a directed graph, by designing a new control protocol, followers can reach consensus about leader’s partial state components within a settling time. Furthermore, the settling time reached is independent on the initial states and relative to parameters of the protocol. Finally, two simulation examples are given to verify the correctness of theoretical results.