Fixed-Time Consensus Control for General Linear Multi-agent Systems
Shengping Luo, Gang Xu · 2024
This paper investigates the fixed-time leader-following consensus control issue for general linear multi-agent systems(MASs) when followers are under undirected graph. Different from most relevant literature, the considered model of system dynamic is general linear rather than single-integrator, double-integrator or high-order integrator dynamics. Assuming that the input matrix satisfies certain conditions, we solve more complex general dynamic system problems by combining different forms of feedback signals. Through theoretical proof, the system can achieve fixed-time consensus, and we can provide the upper bound of the settling time. At last, the effectiveness of the theoretical analysis is demonstrated through a simulation example.