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It is often unnoticed that the predominant way to use collocation methods is fundamentally flawed when applied to optimal control in robotics. Such methods assume that the system dynamics is given by a first order ODE, whereas robots are…

Robotics · Computer Science 2023-02-20 Siro Moreno-Martín , Lluís Ros , Enric Celaya

Motion planning for multi-jointed robots is challenging. Due to the inherent complexity of the problem, most existing works decompose motion planning as easier subproblems. However, because of the inconsistent performance metrics, only…

Robotics · Computer Science 2018-10-11 Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

Applying intelligent robot arms in dynamic uncertain environments (i.e., flexible production lines) remains challenging, which requires efficient algorithms for real time trajectory generation. The motion planning problem for robot…

Robotics · Computer Science 2020-08-11 Weiye Zhao , Suqin He , Chengtao Wen , Changliu Liu

The main contribution of this paper is a novel method for planning globally optimal trajectories for dynamical systems subject to polygonal constraints. The proposed method is a hybrid trajectory planning approach, which combines graph…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Andreas B. Martinsen , Anastasios M. Lekkas , Sebastien Gros

Long-term non-prehensile planar manipulation is a challenging task for planning and control, requiring determination of both continuous and discrete contact configurations, such as contact points and modes. This leads to the non-convexity…

Robotics · Computer Science 2023-05-22 Teng Xue , Sylvain Calinon

Most existing methods for motion planning of mobile robots involve generating collision-free trajectories. However, these methods focusing solely on contact avoidance may limit the robots' locomotion and can not be applied to tasks where…

Robotics · Computer Science 2025-02-06 Haokun Wang , Qianhao Wang , Fei Gao , Shaojie Shen

This paper details a methodology to transcribe an optimal control problem into a nonlinear program for generation of the trajectories that optimize a given functional by approximating only the highest order derivatives of a given system's…

Optimization and Control · Mathematics 2025-09-09 Thomas L. Ahrens , Ian M. Down , Manoranjan Majji

We address the problem of adapting robot trajectories to improve safety, comfort, and efficiency in human-robot collaborative tasks. To this end, we propose CoMOTO, a trajectory optimization framework that utilizes stochastic motion…

Most interesting problems in robotics (e.g., locomotion and manipulation) are realized through intermittent contact with the environment. Due to the perception and modeling errors, assuming an exact time for establishing contact with the…

Robotics · Computer Science 2024-10-21 Haizhou Zhao , Majid Khadiv

Autonomous terrain traversal of articulated tracked robots can reduce operator cognitive load to enhance task efficiency and facilitate extensive deployment. We present a novel hybrid trajectory optimization method aimed at generating…

Robotics · Computer Science 2023-11-27 Zhengzhe Xu , Yanbo Chen , Zhuozhu Jian , Junbo Tan , Xueqian Wang , Bin Liang

Trajectory optimization is an essential tool for generating efficient, dynamically consistent gaits in legged locomotion. This paper explores the indirect method of trajectory optimization, emphasizing its application in creating optimal…

Robotics · Computer Science 2026-04-02 Maximilian Raff , Kathrin Flaßkamp , C. David Remy

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

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie

The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely used for mechanical contact problems, we prefer here the…

Numerical Analysis · Mathematics 2021-07-27 Diana Manvelyan , Bernd Simeon , Utz Wever

The transition from free motion to contact is a challenging problem in robotics, in part due to its hybrid nature. Additionally, disregarding the effects of impacts at the motion planning level often results in intractable impulsive contact…

Robotics · Computer Science 2020-09-04 Theodoros Stouraitis , Lei Yan , João Moura , Michael Gienger , Sethu Vijayakumar

The present work proposes an extension of the third medium contact method for solving structural topology optimization problems that involve and exploit self-contact. A new regularization of the void region, which acts as the contact…

Computational Engineering, Finance, and Science · Computer Science 2021-03-15 Gore Lukas Bluhm , Ole Sigmund , Konstantinos Poulios

Planning locomotion trajectories for legged microrobots is challenging because of their complex morphology, high frequency passive dynamics, and discontinuous contact interactions with their environment. Consequently, such research is often…

Humanoid robots dynamically navigate an environment by interacting with it via contact wrenches exerted at intermittent contact poses. Therefore, it is important to consider dynamics when planning a contact sequence. Traditional contact…

Robotics · Computer Science 2019-03-04 Yu-Chi Lin , Brahayam Ponton , Ludovic Righetti , Dmitry Berenson

In this paper we present a new approach for dynamic motion planning for legged robots. We formulate a trajectory optimization problem based on a compact form of the robot dynamics. Such a form is obtained by projecting the rigid body…

Robotics · Computer Science 2015-10-07 Diego Pardo , Michael Neunert , Alexander W. Winkler , Jonas Buchli

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters