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This paper investigates the infinite horizon optimal control problem (OCP) for space applications characterized by nonlinear dynamics. The proposed approach divides the problem into a finite horizon OCP with a regularized terminal cost,…

Optimization and Control · Mathematics 2025-10-13 Abhijeet , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

An iterative learning algorithm is presented for continuous-time linear-quadratic optimal control problems where the system is externally symmetric with unknown dynamics. Both finite-horizon and infinite-horizon problems are considered. It…

Optimization and Control · Mathematics 2025-10-10 Hamed Taghavian , Florian Dorfler , Mikael Johansson

In this paper we develop a time reversal method for the radiative transport equation to solve two problems: an inverse problem for the recovery of an initial condition from boundary measurements, and the exact boundary controllability of…

Analysis of PDEs · Mathematics 2013-08-06 Sebastian Acosta

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

In this paper, we propose an alternating optimization method to address a time-optimal trajectory generation problem. Different from the existing solutions, our approach introduces a new formulation that minimizes the overall trajectory…

Robotics · Computer Science 2023-12-06 Wytze A. B. de Vries , Ming Li , Qirui Song , Zhiyong Sun

We consider the energy-optimal control problem for double-integrator systems subject to state and control constraints, with fixed terminal time and free terminal speed. When the constraints become active, the optimal trajectory consists of…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Filippos N. Tzortzoglou , Logan E. Beaver , Andreas A. Malikopoulos

Run-and-tumble particles constitute one of the simplest models of self-propelled active matter, and provide an ideal playground to the understanding of out-of-equilibrium systems. We consider an idealized setup where one such particle is…

Statistical Mechanics · Physics 2026-02-05 Marco Baldovin , Alessandro Manacorda

Rapidly generating an optimal chasing motion of a drone to follow a dynamic target among obstacles is challenging due to numerical issues rising from multiple conflicting objectives and non-convex constraints. This study proposes to resolve…

Robotics · Computer Science 2021-12-14 Boseong Felipe Jeon , Changhyeon Kim , Hojoon Shin , H. Jin Kim

This paper focuses on the development of minimum time control profiles for point-to-point motion of a gantry crane system in the presence of uncertainties in modal parameters. Assuming that the velocity of the trolley of the crane can be…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Adrian Stein , Tarunraj Singh

This paper presents a method for incorporating control analysis into design optimization for highly-maneuverable aircraft. By studying reachable sets for aircraft dynamics, we ensure that the optimizer will take the aircraft's controlled…

Optimization and Control · Mathematics 2026-04-30 Steven Nguyen , Nicholas Orndorff , Jorge Cortés , Boris Kramer

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

Optimization and Control · Mathematics 2025-09-19 Yuri Shimane , Purnanand Elango , Avishai Weiss

A novel tracking paradigm for flying geometric trajectories using tethered kites is presented. It is shown how the differential-geometric notion of turning angle can be used as a one-dimensional representation of the kite trajectory, and…

Optimization and Control · Mathematics 2011-07-18 Jorn H. Baayen , Wubbo J. Ockels

Successful aerial manipulation largely depends on how effectively a controller can tackle the coupling dynamic forces between the aerial vehicle and the manipulator. However, this control problem has remained largely unsolved as the…

Robotics · Computer Science 2024-10-14 Rishabh Dev Yadav , Swati Dantu , Wei Pan , Sihao Sun , Spandan Roy , Simone Baldi

This study explores modeling and control for quadrotor acrobatics, focusing on executing flip maneuvers. Flips are an elegant way to deliver sensor probes into no-fly or hazardous zones, like volcanic vents. Successful flips require…

Robotics · Computer Science 2024-02-01 Saransh Jain , Yash Shethwala , Jnaneshwar Das

In this article, the minimum time control problem of an electric vehicle is modeled as a Mayer problem in optimal control, with affine dynamics with respect to the control and with state constraints. The candidates as minimizers are…

Optimization and Control · Mathematics 2019-11-22 Olivier Cots

Quadrotors with the ability to perch on moving inclined surfaces can save energy and extend their travel distance by leveraging ground vehicles. Achieving dynamic perching places high demands on the performance of trajectory planning and…

Robotics · Computer Science 2022-12-22 Sensen Liu , Wenkang Hu , Zhaoying Wang , Wei Dong , Xinjun Sheng

We consider the finite horizon optimal steering of the joint state probability distribution subject to the angular velocity dynamics governed by the Euler equation. The problem and its solution amounts to controlling the spin of a rigid…

Optimization and Control · Mathematics 2023-04-05 Charlie Yan , Iman Nodozi , Abhishek Halder

This paper addresses the problem of designing a trajectory tracking control law for a quadrotor UAV, subsequent to complete failure of a single rotor. The control design problem considers the reduced state space which excludes the angular…

Optimization and Control · Mathematics 2017-04-04 Ashutosh Simha , Sharvaree Vadgama , Soumyendu Raha

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

Systems and Control · Computer Science 2015-04-21 Jie Fu , Ufuk Topcu

We propose a method to generate robust and optimal trajectories for the transition of a tiltwing Vertical Take-Off and Landing (VTOL) aircraft leveraging concepts from convex optimisation, tube-based nonlinear Model Predictive Control (MPC)…

Optimization and Control · Mathematics 2023-02-10 Martin Doff-Sotta , Mark Cannon , Marko Bacic