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We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

As the number of uncontrollable objects in low earth orbit is rising, the thread of collisions and thus the breakdown of working satellites becomes worth analyzing. Consequently, projects on removing objects from the important orbits are…

Optimization and Control · Mathematics 2013-07-05 Johannes Michael , Kurt Chudej , Matthias Gerdts , Jürgen Pannek

A fundamental issue at the core of trajectory optimization on smooth manifolds is handling the implicit manifold constraint within the dynamics. The conventional approach is to enforce the dynamic model as a constraint. However, we show…

Optimization and Control · Mathematics 2025-03-18 Spencer Kraisler , Mehran Mesbahi , Behcet Acikmese

This paper presents a novel and feasible path planning technique for a group of unmanned aerial vehicles (UAVs) conducting surface inspection of infrastructure. The ultimate goal is to minimise the travel distance of UAVs while…

Robotics · Computer Science 2019-01-16 V. T. Hoang , M. D. Phung , T. H. Dinh , Q. P. Ha

This paper proposes a learning-based approach to accelerate the interior-point method (IPM) for solving optimal power flow (OPF) problems by learning the structure of the IPM central path from its early stable iterations. Unlike traditional…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Farshad Amani , Amin Kargarian , Ramachandran Vaidyanathan

In unmanned space exploration, the cooperation among space robots requires advanced communication techniques. In this paper, we propose a communication optimization scheme for a specific cooperation system named the "mother-daughter…

Signal Processing · Electrical Eng. & Systems 2024-06-28 Xinran Fang , Wei Feng , Yunfei Chen , Ning Ge , Gan Zheng

This article introduces a numerical algorithm that serves as a preliminary step toward solving continuous-time model predictive control (MPC) problems directly without explicit time-discretization. The chief ingredients of the underlying…

Optimization and Control · Mathematics 2024-01-24 Souvik Das , Siddhartha Ganguly , Muthyala Anjali , Debasish Chatterjee

The paper presents a movement strategy for Connected and Automated Vehicles (CAVs) in a lane-free traffic environment with vehicle nudging by use of an optimal control approach. State-dependent constraints on control inputs are considered…

Obstacle avoidance for small unmanned aircraft is vital for the safety of future urban air mobility (UAM) and Unmanned Aircraft System (UAS) Traffic Management (UTM). There are many techniques for real-time robust drone guidance, but many…

Robotics · Computer Science 2021-11-16 Jueming Hu , Xuxi Yang , Weichang Wang , Peng Wei , Lei Ying , Yongming Liu

A tethered marsupial robotics system comprises three components: an Unmanned Ground Vehicle (UGV), an Unmanned Aerial Vehicle (UAV), and a tether connecting both robots. Marsupial systems are highly beneficial in industry as they extend the…

We present a fourth-order accurate finite volume method for the solution of ideal magnetohydrodynamics (MHD). The numerical method combines high-order quadrature rules in the solution of semi-discrete formulations of hyperbolic conservation…

Instrumentation and Methods for Astrophysics · Physics 2018-10-17 Kyle Gerard Felker , James Stone

In this article we present a generalised view on Path Integral Control (PIC) methods. PIC refers to a particular class of policy search methods that are closely tied to the setting of Linearly Solvable Optimal Control (LSOC), a restricted…

Optimization and Control · Mathematics 2020-10-28 Tom Lefebvre , Guillaume Crevecoeur

This paper presents a robust path-planning framework for safe spacecraft autonomy under uncertainty and develops a computationally tractable formulation based on convex programming. We utilize chance-constrained control to formulate the…

Optimization and Control · Mathematics 2024-04-19 Kenshiro Oguri

Estimating the reachable set of a dynamical system is a fundamental problem in control theory, particularly when control inputs are bounded. Direct simulation using randomly sampled admissible controls often leads to trajectories that…

Optimization and Control · Mathematics 2025-11-20 Karthik Elamvazhuthi , Sachin Shivakumar

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer science community due to its potency and relevance in modeling and machine learning. It introduces means that serve as powerful ways to compare…

Machine Learning · Computer Science 2021-06-04 Luis Caicedo Torres , Luiz Manella Pereira , M. Hadi Amini

Unbalanced optimal transport (UOT) has been widely used as a fundamental tool in many application domains, where it often dominates the application running time. While many researchers have proposed various optimizations for UOT, few have…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Chengyu Sun , Jinyu Hu , Hong Jiang

This paper addresses the problem of trajectory optimization for an unmanned surface vehicle while considering direction-dependent ocean currents and flexible refueling constraints. This work is motivated by the rising interest in developing…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Aaron Kandel , Chu Xu , David Cardona , Carey Whitehair

Aircraft failures alter dynamics, diminishing manoeuvrability. Such manoeuvring flight envelope variations, governed by the aircraft's complex nonlinear dynamics, are unpredictable by pilots and existing flight management systems. To…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Ramin Norouzi , Amirreza Kosari , Mark H. Lowenberg

Reliable and efficient trajectory optimization methods are a fundamental need for autonomous dynamical systems, effectively enabling applications including rocket landing, hypersonic reentry, spacecraft rendezvous, and docking. Within such…

Robotics · Computer Science 2024-01-09 Tommaso Guffanti , Daniele Gammelli , Simone D'Amico , Marco Pavone

We study the optimal transport problem for pairs of stationary finite-state Markov chains, with an emphasis on the computation of optimal transition couplings. Transition couplings are a constrained family of transport plans that capture…

Optimization and Control · Mathematics 2021-09-20 Kevin O'Connor , Kevin McGoff , Andrew B. Nobel