Optimal Periodic Control

Abstract : The stated objective of this research was to develop the theory and computational technique for optimizing the flight path of an aircraft with respect to fuel consumption (maximize range for a given amount of fuel) during the cruise segment of flight. It then was intended to apply these tools to a point mass model of an aircraft and determine a locally optimizing cyclic cruise flight path in a proof of principle demonstration. Their are numerous potential applications for this research. The more obvious Air Force benefits include: extend the range of an air vehicle with a fixed amount of fuel; reduce its fuel requirements for a given range hereby increasing its load capability; and increase its endurance allowing it to remain aloft longer. The improvements of periodic cruise flight paths appear to be most suited for remotely piloted aircraft or cruise missile type applications. However, in many emergency or back-up operations, it also would be quite feasible for manned systems.