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In this paper we present a method for automatically planning optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition system. The…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta , Daniela Rus

Given a finite-dimensional time continuous control system and $\varepsilon>0$, we address the question of the existence of controls that maintain the corresponding state trajectories in the $\varepsilon$-neighborhood of any prescribed path…

Optimization and Control · Mathematics 2025-11-18 Manuel Rissel , Marius Tucsnak

Solving optimal control problems (OCPs) of autonomous agents operating under spatial and temporal constraints fast and accurately is essential in applications ranging from eco-driving of autonomous vehicles to quadrotor navigation. However,…

Robotics · Computer Science 2026-01-07 Shiying Dong , Zhipeng Shen , Rudolf Reiter , Hailong Huang , Bingzhao Gao , Hong Chen , Wen-Hua Chen

In this paper, we present an efficient Dynamic Programing framework for optimal planning and control of legged robots. First we formulate this problem as an optimal control problem for switched systems. Then we propose a multi--level…

Systems and Control · Computer Science 2018-01-31 Farbod Farshidian , Michael Neunert , Alexander W. Winkler , Gonzalo Rey , Jonas Buchli

This paper addresses the problem of real-time vision-based autonomous obstacle avoidance in unstructured environments for quadrotor UAVs. We assume that our UAV is equipped with a forward facing stereo camera as the only sensor to perceive…

Robotics · Computer Science 2020-10-20 Shakeeb Ahmad , Rafael Fierro

The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient algorithmic solution of time-optimal control problems is…

Optimization and Control · Mathematics 2019-04-17 Lucas Bonifacius , Karl Kunisch

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

This study investigates formal-method-based trajectory optimization (TO) for bipedal locomotion, focusing on scenarios where the robot encounters external perturbations at unforeseen times. Our key research question centers around the…

Robotics · Computer Science 2023-10-18 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control problems. Our approach leverages offline training on data…

Optimization and Control · Mathematics 2025-11-20 Gage MacLin , Venanzio Cichella , Andrew Patterson , Irene Gregory

This paper presents a method based on linear programming for trajectory planning of automated vehicles, combining obstacle avoidance, time scheduling for the reaching of waypoints and time-optimal traversal of tube-like road segments.…

Systems and Control · Computer Science 2017-07-25 Mogens Graf Plessen

Pursuing a drifting target in a turbulent flow is an extremely difficult task whenever the searcher has limited propulsion and maneuvering capabilities. Even in the case when the relative distance between pursuer and target stays below the…

Fluid Dynamics · Physics 2023-10-02 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini

Autonomous quadrotor flight in confined spaces such as pipes and tunnels presents significant challenges due to unsteady, self-induced aerodynamic disturbances. Very recent advances have enabled flight in such conditions, but they either…

Robotics · Computer Science 2026-02-25 Leonard Bauersfeld , Davide Scaramuzza

Animal sensorimotor behavior is frequently modeled using optimal controllers. However, it is unclear how the neural circuits within the animal's nervous system implement optimal controller-like behavior. In this work, we study the question…

Systems and Control · Electrical Eng. & Systems 2025-03-21 Jing Shuang Li

This paper investigates optimal takeoff trajectory planning for a quadrotor modeled with vertical-plane rigid body dynamics in an uncertain, one-dimensional wind-field. The wind-field varies horizontally and propagates across an operating…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Nicholas Kakavitsas , Artur Wolek

This paper focuses on spatial time-optimal motion planning, a generalization of the exact time-optimal path following problem that allows the system to plan within a predefined space. In contrast to state-of-the-art methods, we drop the…

Robotics · Computer Science 2023-07-18 Jon Arrizabalaga , Markus Ryll

Time-optimal obstacle avoidance is a prevalent problem encountered in various fields, including robotics and autonomous vehicles, where the task involves determining a path for a moving vehicle to reach its goal while navigating around…

Robotics · Computer Science 2024-03-21 Mehmetcan Kaymaz , Nazim Kemal Ure

This paper presents a study on the development of an obstacle-avoidance navigation system for autonomous navigation in home environments. The system utilizes vision-based techniques and advanced path-planning algorithms to enable the robot…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Sagar Manglani

Suboptimal methods in optimal control arise due to a limited computational budget, unknown system dynamics, or a short prediction window among other reasons. Although these methods are ubiquitous, their transient performance remains…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Optical techniques have been employed to coherently control the quantum transport through nanojunctions. Conventional works on optical control of quantum transport usually applied a tailored electrical pulses to perform specific tasks. In…

Mesoscale and Nanoscale Physics · Physics 2015-10-13 Yu Zhang

Dynamic locomotion in rough terrain requires accurate foot placement, collision avoidance, and planning of the underactuated dynamics of the system. Reliably optimizing for such motions and interactions in the presence of imperfect and…

Robotics · Computer Science 2022-08-18 Ruben Grandia , Fabian Jenelten , Shaohui Yang , Farbod Farshidian , Marco Hutter