Using Uniform Trigonometrization Method for Aviation Based Optimal Control Problems

摘要

View Video Presentation: https://doi.org/10.2514/6.2023-3912.vid This paper applies a recently devised advanced indirect method, the Uniform Trigonometrization Method (UTM), to solve three optimal control problems (OCPs) in the aviation domain: 1) Hang Glider Range Maximization, 2) Constrained Aircraft Climb, and 3) Free Flying Robot. The utility, simplicity, and effectiveness of the UTM for solving complicated OCPs in the aviation domain are highlighted via these three applications. The results are validated with a pseudospectral method based solver for the Hang Glider Range Maximization and the Constrained Aircraft Climb problems. For the Free Flying Robot problem, the UTM generates a more optimal solution as compared to the direct solutions previously published in the literature. Since the UTM relies heavily on the math and physics of the problem, it yields higher resolution results as compared to the direct methods, which are demonstrated in this study for the aviation domain.