Revisiting Lossless Convexification: Theoretical Guarantees for Discrete-time Optimal Control Problems

D Luo, K Echigo, B Açıkmeşe - arXiv preprint arXiv:2410.09748, 2024 - arxiv.org
Lossless Convexification (LCvx) is a modeling approach that transforms a class of
nonconvex optimal control problems, where nonconvexity primarily arises from control …

Expected Time-Optimal Control: a Particle MPC-based Approach via Sequential Convex Programming

K Echigo, A Cauligi, B Açıkmeşe - arXiv preprint arXiv:2404.16269, 2024 - arxiv.org
In this paper, we consider the problem of minimum-time optimal control for a dynamical
system with initial state uncertainties and propose a sequential convex programming (SCP) …

Discrete lossless convexification for pointing constraints

D Luo, F Spada, B Açıkmeşe - arXiv preprint arXiv:2501.06931, 2025 - arxiv.org
Discrete Lossless Convexification (DLCvx) formulates a convex relaxation for a specific
class of discrete-time non-convex optimal control problems. It establishes sufficient …