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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

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…

To continuously generate trajectories for serial manipulators with high dimensional degrees of freedom (DOF) in the dynamic environment, a real-time optimal trajectory generation method based on machine learning aiming at high dimensional…

Robotics · Computer Science 2018-12-19 Shiyu Zhang , Shuling Dai

Recent breakthroughs both in reinforcement learning and trajectory optimization have made significant advances towards real world robotic system deployment. Reinforcement learning (RL) can be applied to many problems without needing any…

Robotics · Computer Science 2019-10-23 Guillaume Bellegarda , Katie Byl

Generating obstacle-free trajectories for robotic manipulators in unstructured and cluttered environments remains a significant challenge. Existing motion planning methods often require additional computational effort to generate the final…

Robotics · Computer Science 2025-09-23 Yongliang Wang , Hamidreza Kasaei

A redundant manipulator has multiple inverse kinematics solutions per end-effector pose. Accordingly, there can be many trajectories for joints that follow a given endeffector path in the Cartesian space. In this paper, we present a…

Robotics · Computer Science 2020-11-10 Mincheul Kang , Heechan Shin , Donghyuk Kim , Sung-Eui Yoon

Industrial robotics demands significant energy to operate, making energy-reduction methodologies increasingly important. Strategies for planning minimum-energy trajectories typically involve solving nonlinear optimal control problems…

Robotics · Computer Science 2025-01-17 Domenico Dona' , Giovanni Franzese , Cosimo Della Santina , Paolo Boscariol , Basilio Lenzo

In this paper, we propose a reinforcement learning-based algorithm for trajectory optimization for constrained dynamical systems. This problem is motivated by the fact that for most robotic systems, the dynamics may not always be known.…

Machine Learning · Statistics 2020-03-05 Kei Ota , Devesh K. Jha , Tomoaki Oiki , Mamoru Miura , Takashi Nammoto , Daniel Nikovski , Toshisada Mariyama

Future spacecraft and surface robotic missions require increasingly capable autonomy stacks for exploring challenging and unstructured domains, and trajectory optimization will be a cornerstone of such autonomy stacks. However, the…

Robotics · Computer Science 2024-09-18 Julia Briden , Changrak Choi , Kyongsik Yun , Richard Linares , Abhishek Cauligi

In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

Robotics · Computer Science 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

In this work, we present an approach to minimizing the time necessary for the end-effector of a redundant robot manipulator to traverse a Cartesian path by optimizing the trajectory of its joints. Each joint has limits in the ranges of…

Robotics · Computer Science 2024-12-12 Jonathan Fried , Santiago Paternain

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

Trajectory optimization using a learned model of the environment is one of the core elements of model-based reinforcement learning. This procedure often suffers from exploiting inaccuracies of the learned model. We propose to regularize…

Machine Learning · Computer Science 2019-12-30 Rinu Boney , Norman Di Palo , Mathias Berglund , Alexander Ilin , Juho Kannala , Antti Rasmus , Harri Valpola

This paper presents a novel algorithm for the continuous control of dynamical systems that combines Trajectory Optimization (TO) and Reinforcement Learning (RL) in a single framework. The motivations behind this algorithm are the two main…

A key barrier to using reinforcement learning (RL) in many real-world applications is the requirement of a large number of system interactions to learn a good control policy. Off-policy and Offline RL methods have been proposed to reduce…

Machine Learning · Computer Science 2022-12-02 Wenqi Cui , Linbin Huang , Weiwei Yang , Baosen Zhang

Learning-based motion planning can quickly generate near-optimal trajectories. However, it often requires either large training datasets or costly collection of human demonstrations. This work proposes an alternative approach that quickly…

Robotics · Computer Science 2025-10-13 Dominik Urbaniak , Alejandro Agostini , Pol Ramon , Jan Rosell , Raúl Suárez , Michael Suppa

We consider deterministic finite-horizon optimal control problems with a fixed initial state. We introduce an on-line policy iteration method, which, starting from a given policy, however obtained, generates a sequence of cost-improving…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Yuchao Li , Fei Chen , Yingke Li , Chuchu Fan , Dimitri Bertsekas

Trajectory Optimization (TO) solvers exploit known system dynamics to compute locally optimal trajectories through iterative improvements. A downside is that each new problem instance is solved independently; therefore, convergence speed…

Machine Learning · Computer Science 2026-05-29 Théotime Le Hellard , Franki Nguimatsia Tiofack , Quentin Le Lidec , Justin Carpentier

Implementing an autonomous vehicle that is able to output feasible, smooth and efficient trajectories is a long-standing challenge. Several approaches have been considered, roughly falling under two categories: rule-based and learning-based…

Robotics · Computer Science 2022-03-22 Branka Mirchevska , Moritz Werling , Joschka Boedecker

Time-optimal trajectories drive quadrotors to their dynamic limits, but computing such trajectories involves solving non-convex problems via iterative nonlinear optimization, making them prohibitively costly for real-time applications. In…

Robotics · Computer Science 2025-06-18 Katherine Mao , Hongzhan Yu , Ruipeng Zhang , Igor Spasojevic , M Ani Hsieh , Sicun Gao , Vijay Kumar
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