A computational procedure is developed to include the structure in the determination of coil current and voltage trajectories to achieve a specified equilibrium evolution and drive the required plasma current. The method uses linear optimal control about a nominal trajectory determined without structure. Control of the gross equilibrium parameters R, Z, κ, δ, and Ip is covered. The analysis is done for the Compact Ignition Tokamak. This calculation can give more realistic time histories of coil currents and voltages, necessary in the accurate design of future tokamaks.