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The central tenet of this thesis is that the tools of dimensional analysis offer significant benefits to control-problem formulation and controller design. This argument is developed using the task of vehicle lateral positioning control at highway speeds as a motivating example. The vehicle control problem is framed in a dimensionless form, solved using robust control theory, and confirmed experimentally on a vehicle. It is shown that control techniques usually used for dimensional systems are also valid for a dimensionless representation, but that the dimensionless approach allows direct extension of the control results to other vehicles of arbitrary make or size. Remarks discuss fundamental limitations with vehicle control as well as extensions of dimensional analysis to other systems.