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Diffusion models have shown strong competitiveness in offline reinforcement learning tasks by formulating decision-making as sequential generation. However, the practicality of these methods is limited due to the lengthy inference processes…

Machine Learning · Computer Science 2024-07-24 Renming Huang , Yunqiang Pei , Guoqing Wang , Yangming Zhang , Yang Yang , Peng Wang , Hengtao Shen

This work presents a trajectory planning method based on composite Bernstein polynomials for autonomous systems navigating complex environments. The method is implemented in a symbolic optimization framework that enables continuous paths…

Robotics · Computer Science 2026-02-12 Nick Gorman , Gage MacLin , Maxwell Hammond , Venanzio Cichella

This paper presents a new efficient algorithm which guarantees a solution for a class of multi-agent trajectory planning problems in obstacle-dense environments. Our algorithm combines the advantages of both grid-based and…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Jungwon Park , Junha Kim , Inkyu Jang , H. Jin Kim

This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of…

Optimization and Control · Mathematics 2026-02-04 Louis Callens , Bastiaan Vandewal , Ibrahim Ibrahim , Jan Swevers , Wilm Decré

Robotic systems often operate with uncertainties in their dynamics, for example, unknown inertial properties. Broadly, there are two approaches for controlling uncertain systems: design robust controllers in spite of uncertainty, or…

Robotics · Computer Science 2019-06-10 Keenan Albee , Monica Ekal , Rodrigo Ventura , Richard Linares

In this work, we propose a search-based planning method to compute dynamically feasible trajectories for a quadrotor flying in an obstacle-cluttered environment. Our approach searches for smooth, minimum-time trajectories by exploring the…

Robotics · Computer Science 2017-09-19 Sikang Liu , Nikolay Atanasov , Kartik Mohta , Vijay Kumar

Trajectory planning for quadrotors in cluttered environments has been challenging in recent years. While many trajectory planning frameworks have been successful, there still exists potential for improvements, particularly in enhancing the…

Robotics · Computer Science 2024-06-17 Pengyu Wang , Jiawei Tang , Hin Wang Lin , Fan Zhang , Chaoqun Wang , Jiankun Wang , Ling Shi , Max Q. -H. Meng

Ground robots navigating in complex, dynamic environments must compute collision-free trajectories to avoid obstacles safely and efficiently. Nonconvex optimization is a popular method to compute a trajectory in real-time. However, these…

Robotics · Computer Science 2024-10-07 Oscar de Groot , Laura Ferranti , Dariu M. Gavrila , Javier Alonso-Mora

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada

We present a polynomial time dynamic programming algorithm for optimal partitions in the shortest path metric induced by a tree. This resolves, among other things, the exact complexity status of the optimal partition problems in one…

Data Structures and Algorithms · Computer Science 2012-12-17 Marek Karpinski , Andrzej Lingas , Dzmitry Sledneu

To generate safe and real-time trajectories for an autonomous vehicle in dynamic environments, path and speed decoupled planning methods are often considered. This paper studies speed planning, which mainly deals with dynamic obstacle…

Robotics · Computer Science 2021-04-26 Jialun Li , Xiaojia Xie , Hengbo Ma , Xiao Liu , Jianping He

In robot manipulation, planning the motion of a robot manipulator to grasp an object is a fundamental problem. A manipulation planner needs to generate a trajectory of the manipulator arm to avoid obstacles in the environment and plan an…

Robotics · Computer Science 2021-01-14 Lirui Wang , Yu Xiang , Dieter Fox

This paper studies high-speed online planning in dynamic environments. The problem requires finding time-optimal trajectories that conform to system dynamics, meeting computational constraints for real-time adaptation, and accounting for…

Robotics · Computer Science 2025-02-21 Gilhyun Ryou , Lukas Lao Beyer , Sertac Karaman

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…

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

We present a method for nonlinear parametric optimization based on algebraic geometry. The problem to be studied, which arises in optimal control, is to minimize a polynomial function with parameters subject to semialgebraic constraints.…

Optimization and Control · Mathematics 2007-05-23 Ioannis A. Fotiou , Philipp Rostalski , Bernd Sturmfels , Manfred Morari

We consider efficient route planning for robots in applications such as infrastructure inspection and automated surgical imaging. These tasks can be modeled via the combinatorial problem Graph Inspection. The best known algorithms for this…

In recent times, an increasing number of researchers have been devoted to utilizing deep neural networks for end-to-end flight navigation. This approach has gained traction due to its ability to bridge the gap between perception and…

Robotics · Computer Science 2024-10-11 Zhichao Han , Long Xu , Liuao Pei , Fei Gao

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

This paper presents a new online multi-agent trajectory planning algorithm that guarantees to generate safe, dynamically feasible trajectories in a cluttered environment. The proposed algorithm utilizes a linear safe corridor (LSC) to…

Robotics · Computer Science 2022-01-04 Jungwon Park , Dabin Kim , Gyeong Chan Kim , Dahyun Oh , H. Jin Kim