High-order multiagent systems with continuously switching topologies

Abstract This chapter studies the multiagent tracking problem of a high-order maneuvering target under uncertain communication environments. Each tracking agent can only use its own and neighbors’ position, velocity, and acceleration information to design its control input. The uncertain communication environments are modeled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sufficient conditions for the existence of a tracking strategy have been expressed in terms of the solvability of linear matrix inequalities.