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This paper studies existing direct transcription methods for trajectory optimization applied to robot motion planning. There are diverse alternatives for the implementation of direct transcription. In this study we analyze the effects of…

Optimization and Control · Mathematics 2016-02-29 Diego Pardo , Lukas Möller , Michael Neunert , Alexander W. Winkler , Jonas Buchli

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

The tractor-trailer robot consists of a drivable tractor and one or more non-drivable trailers connected via hitches. Compared to typical car-like robots, the addition of trailers provides greater transportation capability. However, this…

In the recent past, several sampling-based algorithms have been proposed to compute trajectories that are collision-free and dynamically-feasible. However, the outputs of such algorithms are notoriously jagged. In this paper, by focusing on…

Robotics · Computer Science 2015-10-28 Zhijie Zhu , Edward Schmerling , Marco Pavone

We present a unified approach for constraint displacement problems in which a robot finds a feasible path by displacing constraints or obstacles. To this end, we propose a two stage process that returns locally optimal obstacle…

Robotics · Computer Science 2025-11-18 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Trajectory optimization (TO) is one of the most powerful tools for generating feasible motions for humanoid robots. However, including uncertainties and stochasticity in the TO problem to generate robust motions can easily lead to an…

Robotics · Computer Science 2019-06-11 Majid Khadiv , Mohammad Hasan Yeganegi , S. Ali A. Moosavian , Jia-Jie Zhu , Ludovic Righetti

Efficient trajectory optimization is essential for avoiding collisions in unstructured environments, but it remains challenging to have both speed and quality in the solutions. One reason is that second-order optimality requires calculating…

Robotics · Computer Science 2021-11-04 Changhao Wang , Jeffrey Bingham , Masayoshi Tomizuka

We address the challenge of real-time planning of minimum-time trajectories over multiple waypoints, onboard multirotor UAVs. Previous works demonstrated that achieving a truly time-optimal trajectory is computationally too demanding to…

Robotics · Computer Science 2024-10-01 Krystof Teissing , Matej Novosad , Robert Penicka , Martin Saska

Nowadays, various sensors are collecting, storing and transmitting tremendous trajectory data, and it is known that raw trajectory data seriously wastes the storage, network band and computing resource. Line simplification (LS) algorithms…

Databases · Computer Science 2017-02-21 Xuelian Lin , Shuai Ma , Han Zhang , Tianyu Wo , Jinpeng Huai

Autonomous high-speed navigation through large, complex environments requires real-time generation of agile trajectories that are dynamically feasible, collision-free, and satisfy constraints. Most modern trajectory planning techniques rely…

Robotics · Computer Science 2025-12-16 Helene J. Levy , Brett T. Lopez

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

Robotics · Computer Science 2020-03-18 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

Rapidly-exploring Random Tree (RRT) algorithms have been applied successfully to challenging robot motion planning and under-actuated nonlinear control problems. However a fundamental limitation of the RRT approach is the slow convergence…

Robotics · Computer Science 2024-11-04 Mathew Mithra Noel , Akshay Chawla

A common sensing problem is to use a set of stationary tracking locations to monitor a collection of moving devices: Given $n$ objects that need to be tracked, each following its own trajectory, and $m$ stationary traffic control stations,…

Computational Geometry · Computer Science 2026-03-06 Chek-Manh Loi , Michael Perk , Malte Hoffmann , Sándor Fekete

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

Robotics · Computer Science 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

In real-time trajectory planning for unmanned vehicles, on-board sensors, radars and other instruments are used to collect information on possible obstacles to be avoided and pathways to be followed. Since, in practice, observations of the…

Methodology · Statistics 2013-09-25 Adriano Zanin Zambom , Julian A. A. Collazos , Ronaldo Dias

Path planning is a classic problem for autonomous robots. To ensure safe and efficient point-to-point navigation an appropriate algorithm should be chosen keeping the robot's dimensions and its classification in mind. Autonomous robots use…

Robotics · Computer Science 2023-05-01 Alka Choudhary

This paper introduces a new algorithm for trajectory optimization, Decoupled Reduced-space and Adaptive Feasibility-repair Trajectory Optimization (DRAFTO). It first constructs a constrained objective that accounts for smoothness, safety,…

Robotics · Computer Science 2026-03-13 Yichang Feng , Xiao Liang , Minghui Zheng

Robot learning is witnessing a significant increase in the size, diversity, and complexity of pre-collected datasets, mirroring trends in domains such as natural language processing and computer vision. Many robot learning methods treat…

Robotics · Computer Science 2025-08-19 Marius Memmel , Jacob Berg , Bingqing Chen , Abhishek Gupta , Jonathan Francis

Trajectory replanning is a critical problem for multi-robot teams navigating dynamic environments. We present RLSS (Replanning using Linear Spatial Separations): a real-time trajectory replanning algorithm for cooperative multi-robot teams…

Robotics · Computer Science 2022-01-06 Baskın Şenbaşlar , Wolfgang Hönig , Nora Ayanian

Trajectory optimization under uncertainty underpins a wide range of applications in robotics. However, existing methods are limited in terms of reasoning about sources of epistemic and aleatoric uncertainty, space and time correlations,…

Robotics · Computer Science 2023-09-28 Thomas Lew , Riccardo Bonalli , Marco Pavone