  This paper proposes continuum deformation as a strategy for controlling the
collective motion of a multiple quadcopter system (MQS) carrying a common
payload. Continuum deformation allows expansion and contraction of inter-agent
distances in a 2D motion plane to follow desired motions of three team leaders.
The remaining quadcopter followers establish the desired continuum deformation
only by knowing leaders positions at desired sample time waypoints without the
need for inter-agent communication over the intermediate intervals. Each
quadcopter applies a linear-quadratic-Gaussian (LQG) controller to track the
desired trajectory given by the continuum deformation in the presence of
disturbance and measurement noise. Results of simulated cooperative aerial
payload transport in the presence of uncertainty illustrate the application of
continuum deformation for coordinated transport through a narrow channel.
