Approximation of Closed-Loop Sensitivities in Robust Trajectory Optimization under Parametric Uncertainty

Author:

Akman Tuğba1ORCID,Ben-Asher Joseph Z.2ORCID,Holzapfel Florian1ORCID

Affiliation:

1. Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany

2. Department of Aerospace Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israel

Abstract

Trajectory optimization is an essential tool for the high-fidelity planning of missions in aerospace engineering in order to increase their safety. Robust optimal control methods are utilized in the present study to address environmental or system uncertainties. To improve robustness, holistic approaches for robust trajectory optimization using sensitivity minimization with system feedback and predicted feedback are presented. Thereby, controller gains to handle uncertainty influences are optimized. The proposed method is demonstrated in an application for UAV trajectories. The resulting trajectories are less prone to unknown factors, which increases mission safety.

Funder

German Federal Ministry for Economic Affairs and Climate Action

Publisher

MDPI AG

Reference19 articles.

1. Piprek, P., and Holzapfel, F. (2018, January 9–14). Bi-Level Trajectory Optimization by Stochastic Collocation for Uncertainty Interval Calculation. Proceedings of the 31st Congress of the International Council of the Aeronautical Sciences (ICAS), Belo Horizonte, Brazil.

2. Solving chance constrained optimal control problems in aerospace via kernel density estimation;Caillau;Optim. Control Appl. Methods,2018

3. Method for solving chance constrained optimal control problems using biased kernel density estimators;Keil;Optim. Control Appl. Methods,2021

4. How to solve a semi-infinite optimization problem;Stein;Eur. J. Oper. Res.,2012

5. Robust suboptimal control of nonlinear systems;Loxton;Appl. Math. Comput.,2011

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