We present calculations of quantum control of wave packet motion and THz emission in an asymmetric double-quantum-well structure. A genetic algorithm is used to search for the laser pulse that best drives an electronic wave packet to a desired target, or goal. The targets considered in this work include maximizing the overlap of an electronic wave packet with a given distribution at a specific time, and maximizing the induced THz emission from the quantum well. We also show that, assuming a fixed laser pulse, the parameters of the quantum well can be optimized to produce a desired outcome. Our results indicate that simple laser pulses are sufficient to exert control over the dynamics of charged carriers in engineered semiconductor heterostructures.