Periodic trajectories that satisfy stability-based requirements are useful in many engineering applications. In this work, a time-domain approach using Fourier collocation for solving the Floquet eigenvector boundary value problem, and consequently estimating Floquet exponents and eigenvectors, is introduced. This method is incorporated into a Fourier pseudospectral trajectory optimization framework for generating open-loop stable solution, and for improving the damping of a specific mode identified using the information from Floquet eigenvectors. These applications are illustrated on the dynamic soaring solutions of three- and six-degree-of-freedom aircraft models, and numerical results highlighting the effectiveness of the pseudospectral Floquet computation over the traditional time-march approach are also presented.
Fourier Pseudospectral Method for Trajectory Optimization with Stability Requirements
Journal of Guidance, Control, and Dynamics ; 43 , 11 ; 2073-2090
2020-09-30
18 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Constrained Trajectory Optimization Using Pseudospectral Methods
British Library Conference Proceedings | 2008
|Trajectory Optimization of Hypersonic Vehicle Using Gauss Pseudospectral Method
British Library Conference Proceedings | 2012
|