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Efficient motion planning algorithms are of central importance for deploying robots in the real world. Unfortunately, these algorithms often drastically reduce the dimensionality of the problem for the sake of feasibility, thereby foregoing…

Robotics · Computer Science 2022-12-02 Alex Beaudin , Hsiu-Chin Lin

This paper presents a search-based partial motion planner to generate dynamically feasible trajectories for car-like robots in highly dynamic environments. The planner searches for smooth, safe, and near-time-optimal trajectories by…

Robotics · Computer Science 2020-11-10 Jiahui Lin , Tong Zhou , Delong Zhu , Jianbang Liu , Max Q. -H. Meng

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Unlike squared (or alike) quadrotors, elongated bi-copters leverage natural superiority in crossing tight spaces. To date, extensive works have focused on the design, modeling, and control of bi-copters. Besides, a proper motion planner…

Robotics · Computer Science 2024-06-04 Xin Dong , Yangjie Cui , Jingwu Xiang , Daochun Li , Zhan Tu

Trajectory planning for mobile robots in cluttered environments remains a major challenge due to narrow passages, where conventional methods often fail or generate suboptimal paths. To address this issue, we propose the adaptive trajectory…

Robotics · Computer Science 2025-10-31 Hahjin Lee , Young J. Kim

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal tracking problems for continuous time nonlinear systems has…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

We propose an approach to trajectory optimization for piecewise polynomial systems based on the recently proposed graphs of convex sets framework. We instantiate the framework with a convex relaxation of optimal control based on occupation…

Optimization and Control · Mathematics 2025-07-28 Etienne Buehrle , Ömer Şahin Taş , Christoph Stiller

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

We propose a method to generate actuation plans for a reduced order, dynamic model of bipedal running. This method explicitly enforces robustness to ground uncertainty. The plan generated is not a fixed body trajectory that is aggressively…

Robotics · Computer Science 2020-01-30 Kevin Green , Ross L. Hatton , Jonathan Hurst

We present a partial-differential-equation-based optimal path-planning framework for curvature constrained motion, with application to vehicles in 2- and 3-spatial-dimensions. This formulation relies on optimal control theory, dynamic…

Numerical Analysis · Mathematics 2024-04-17 Christian Parkinson , Isabelle Boyle

Planning balanced and collision-free motion for humanoid robots is non-trivial, especially when they are operated in complex environments, such as reaching targets behind obstacles or through narrow passages. We propose a method that allows…

Robotics · Computer Science 2016-08-01 Yiming Yang , Vladimir Ivan , Wolfgang Merkt , Sethu Vijayakumar

Provably safe and scalable multi-vehicle trajectory planning is an important and urgent problem. Hamilton-Jacobi (HJ) reachability is an ideal tool for analyzing such safety-critical systems and has been successfully applied to several…

Systems and Control · Computer Science 2017-11-08 Somil Bansal , Mo Chen , Claire J. Tomlin

For the cascaded planning and control modules implemented for robot navigation, the frequency gap between the planner and controller has received limited attention. In this study, we introduce a novel B-spline parameterized…

Robotics · Computer Science 2024-04-02 Chuyuan Tao , Sheng Cheng , Yang Zhao , Fanxin Wang , Naira Hovakimyan

Deterministic methods for motion planning guarantee safety amidst uncertainty in obstacle locations by trying to restrict the robot from operating in any possible location that an obstacle could be in. Unfortunately, this can result in…

Robotics · Computer Science 2023-06-21 Jinsun Liu , Challen Enninful Adu , Lucas Lymburner , Vishrut Kaushik , Lena Trang , Ram Vasudevan

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg

Autonomous robots commonly aim to complete a nominal behavior while minimizing a cost; this leaves them vulnerable to failure or unplanned scenarios, where a backup or contingency plan to a safe set is needed to avoid a total mission…

Robotics · Computer Science 2026-03-31 Raj Harshit Srirangam , Leonard Jung , Rohith Poola , Michael Everett

Coordinated motion control in swarm robotics aims to ensure the coherence of members in space, i.e., the robots in a swarm perform coordinated movements to maintain spatial structures. This problem can be modeled as a tracking control…

Robotics · Computer Science 2021-05-28 Jian Yang , Yuhui Shi

The growing number of noncooperative flying objects has prompted interest in sample-return and space debris removal missions. Current solutions are both costly and largely dependent on specific object identification and capture methods. In…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Joao Leonardo Silva Cotta , Omar Qasem , Paula do Vale Pereira , Hector Gutierrez

Autonomous racing is a research field gaining large popularity, as it pushes autonomous driving algorithms to their limits and serves as a catalyst for general autonomous driving. For scaled autonomous racing platforms, the computational…

Many real-world systems often involve physical components or operating environments with highly nonlinear and uncertain dynamics. A number of different control algorithms can be used to design optimal controllers for such systems, assuming…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Navid Hashemi , Justin Ruths , Jyotirmoy V. Deshmukh
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