3 papers
math.OC2025
Onboard Dual Quaternion Guidance for Rocket Landing
Abhinav G. Kamath, Javier A. Doll, Purnanand Elango +8
The dual quaternion guidance (DQG) algorithm was selected as the candidate 6-DoF powered-descent guidance algorithm for NASA's Safe and Precise Landing -- Integrated Capabilities E…
math.OC2025
Six-Degree-of-Freedom Aircraft Landing Trajectory Planning with Runway Alignment
Taewan Kim, Abhinav G. Kamath, Niyousha Rahimi +3
This paper presents a numerical optimization algorithm for generating approach and landing trajectories for a six-degree-of-freedom (6-DoF) aircraft. We improve on the existing res…
math.OC2025
Optimal Preconditioning for Online Quadratic Cone Programming
Abhinav G. Kamath, Purnanand Elango, Behçet AçıkmeÅe
First-order conic optimization solvers are sensitive to problem conditioning and typically perform poorly in the face of ill-conditioned problem data. To mitigate this, we propose…