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We study the tracking of a trajectory for a nonholonomic system by recasting the problem as a constrained optimal control problem. The cost function is chosen to minimize the error in positions and velocities between the trajectory of a…

Optimization and Control · Mathematics 2020-01-29 Leonardo J. Colombo , David Martín de Diego , Aradhana Nayak , Rodrigo T. Sato Martín de Almagro

We study the minimum time control problem of the launchers. The optimal trajectories of the problem may contain singular arcs, and thus chattering arcs. The motion of the launcher is described by its attitude kinematics and dynamics and…

Optimization and Control · Mathematics 2015-09-28 Jiamin Zhu , Emmanuel Trélat , Max Cerf

Approaching a tumbling target safely is a critical challenge in space debris removal missions utilizing robotic manipulators onboard servicing satellites. In this work, we propose a trajectory planning method based on nonlinear optimization…

Robotics · Computer Science 2025-12-29 Kenta Iizuka , Akiyoshi Uchida , Kentaro Uno , Kazuya Yoshida

We consider the problem of generating a time-optimal quadrotor trajectory that attains a set of prescribed waypoints. This problem is challenging since the optimal trajectory is located on the boundary of the set of dynamically feasible…

Robotics · Computer Science 2020-06-05 Gilhyun Ryou , Ezra Tal , Sertac Karaman

This paper addresses the problem of bearing leader-follower formation control in three-dimensional space by exploring the persistence of excitation (PE) of the desired formation. Using only bearing and relative velocity measurements,…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Zhiqi Tang , Rita Cunha , Tarek Hamel , Carlos Silvestre

The complex tasks such as surveillance, construction, search and rescue can benefit of the maneuverability of multirotor Micro Aerial Vehicles (MAVs) to obtain robust, cooperative system behavior and formation control is a prominent…

Systems and Control · Computer Science 2019-04-09 I. Kagan Erunsal , Rodrigo Ventura , Alcherio Martinoli

In many robotic tasks, such as autonomous drone racing, the goal is to travel through a set of waypoints as fast as possible. A key challenge for this task is planning the time-optimal trajectory, which is typically solved by assuming…

Robotics · Computer Science 2021-08-03 Yunlong Song , Mats Steinweg , Elia Kaufmann , Davide Scaramuzza

This work presents the first closed-loop control framework for cooperative payload transportation with non-stopping flying carriers. The proposed method includes a feedback wrench-controller that actively regulates the load's pose by…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Sofia Girardello , Giulia Michieletto , Angelo Cenedese , Antonio Franchi , Chiara Gabellieri

In drone racing, the time-minimum trajectory is affected by the drone's capabilities, the layout of the race track, and the configurations of the gates (e.g., their shapes and sizes). However, previous studies neglect the configuration of…

Robotics · Computer Science 2024-05-07 Chao Qin , Maxime S. J. Michet , Jingxiang Chen , Hugh H. -T. Liu

This article proposes a modular optimal control framework for local three-dimensional ellipsoidal obstacle avoidance, exemplarily applied to model predictive path-following control. Static as well as moving obstacles are considered. Central…

Systems and Control · Electrical Eng. & Systems 2025-10-31 David Leprich , Mario Rosenfelder , Markus Herrmann-Wicklmayr , Kathrin Flaßkamp , Peter Eberhard , Henrik Ebel

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

Optimization and Control · Mathematics 2011-12-06 Giuseppe Notarstefano , John Hauser

Agile quadrotor flight pushes the limits of control, actuation, and onboard perception. While time-optimal trajectory planning has been extensively studied, existing approaches typically neglect the tight coupling between vehicle dynamics,…

Robotics · Computer Science 2026-03-05 Chao Qin , Jiaxu Xing , Rudolf Reiter , Angel Romero , Yifan Lin , Hugh H. -T. Liu , Davide Scaramuzza

This thesis investigates optimal trajectory tracking of nonlinear dynamical systems with affine controls. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. The concept of…

Optimization and Control · Mathematics 2016-03-04 Jakob Löber

In this work, Global Position System (GPS) data from a flock of homing pigeons are analysed. The flocking behaviour of the considered homing pigeons is formulated as a swarm optimal trajectory tracking control problem. The swarm problem in…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Afreen Islam

Overactuated omnidirectional flying vehicles are capable of generating force and torque in any direction, which is important for applications such as contact-based industrial inspection. This comes at the price of an increase in model…

Robotics · Computer Science 2020-06-24 Weixuan Zhang , Maximilian Brunner , Lionel Ott , Mina Kamel , Roland Siegwart , Juan Nieto

In this work, we propose a trajectory generation method for robotic systems with contact force constraint based on optimal control and reachability analysis. Normally, the dynamics and constraints of the contact-constrained robot are…

Robotics · Computer Science 2019-03-28 Jaemin Lee , Efstathios Bakolas , Luis Sentis

Given a multi-agent linear system, we formalize and solve a trajectory optimization problem that encapsulates trajectory tracking, distance-based formation control and input energy minimization. To this end, a numerical projection operator…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese , John Hauser

Automating drone-assisted processes is a complex task. Many solutions rely on trajectory generation and tracking, whereas in contrast, path-following control is a particularly promising approach, offering an intuitive and natural approach…

Systems and Control · Electrical Eng. & Systems 2026-01-21 David Leprich , Mario Rosenfelder , Mario Hermle , Jingshan Chen , Peter Eberhard

The growing interest in space activities has led to the emergence of new space operators and innovative mission concepts. Small satellites such as CubeSats reduce mission costs and are typically deployed in constellations or formation…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Alessio Bocci , José Juan Corona-Sánchez , Raymond Kristiansen

Space robotics applications, such as Active Space Debris Removal (ASDR), require representative testing before launch. A commonly used approach to emulate the microgravity environment in space is air-bearing based platforms on flat-floors,…