Fixed-Time Consensus Control of General Linear Multiagent Systems

In this article, the fixed-time consensus control is addressed for general linear multi-agent systems guided by a dynamic leader with control inputs. A new fixed-time consensus protocol is proposed based on the specific coordinate transformation and a distributed observer to estimate the leader's state information, provided that each agent in the group is controllable. It is proved that the consensus can be realized within a finite time, and an upper bound of the convergence time is also given that is independent of initial conditions. Some simulations on multiple F-18 aircrafts are done to illustrate the effectiveness of the developed fixed-time protocol.