activity
20242026
collaborators
Showing math.OCShow all

11 papers · 1 filter

math.OC2025

Set-based Optimal, Robust, and Resilient Control with Applications to Autonomous Precision Landing

Abhinav G. Kamath, Abraham P. Vinod, Purnanand Elango +2

We present a real-time-capable set-based framework for closed-loop predictive control of autonomous systems using tools from computational geometry, dynamic programming, and convex…

math.OC2025

Multi-Vehicle Guidance for Formation Flight on Libration Point Orbits

Yuri Shimane, Purnanand Elango, Avishai Weiss

The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enfo…

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

Successive Convexification for Passively-Safe Spacecraft Rendezvous on Near Rectilinear Halo Orbit

Purnanand Elango, Abraham P. Vinod, Kenji Kitamura +3

We present an optimization-based approach for fuel-efficient spacecraft rendezvous to the Gateway, a space station that will be deployed on a near rectilinear halo orbit (NRHO) aro…

math.OC2025

Optimal Preconditioning for Online Quadratic Cone Programming

Abhinav G. Kamath, Purnanand Elango, Behçet Açıkmeşe

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…

math.OC2025

Deferred-Decision Trajectory Optimization

Purnanand Elango, Selahattin Burak Sarsilmaz, Behcet Acikmese

We present DDTO--deferred-decision trajectory optimization--a framework for trajectory generation with resilience to unmodeled uncertainties and contingencies. The key idea is to e…