This invention discloses a fixed-time formation control method and
system, belonging to the field of formation control. The method includes: establishing a heterogeneous multi-agent
system model corresponding to the
system to be controlled, and establishing an ODE-PDE error
system model; at any given time, each sparsely distributed agent, according to the calculated
control signal, and each densely distributed agent, according to the calculated
control signal, transmitting their position errors back to themselves; setting a
virtual agent at a location, and having the
virtual agent calculate the
control signal; where , , and represent the position errors of the sparsely distributed agent, the densely distributed agent, and the
virtual agent, respectively; if the ODE-PDE
tracking error system converges, the formation control ends; otherwise, the control
signal continues to be updated and the entity objects execute corresponding actions. This invention enables fixed-time formation control, improving system formation efficiency.