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In this paper, we propose a novel optimization-based trajectory planner that utilizes spherical harmonics to estimate the collision-free solution space around an agent. The space is estimated using a constrained over-determined…

Robotics · Computer Science 2021-07-16 Steven Patrick , Efstathios Bakolas

In the pursuit of real-time motion planning, a commonly adopted practice is to compute a trajectory by running a planning algorithm on a simplified, low-dimensional dynamical model, and then employ a feedback tracking controller that tracks…

Systems and Control · Computer Science 2019-07-30 Sumeet Singh , Mo Chen , Sylvia L. Herbert , Claire J. Tomlin , Marco Pavone

To generate reliable motion for legged robots through trajectory optimization, it is crucial to simultaneously compute the robot's path and contact sequence, as well as accurately consider the dynamics in the problem formulation. In this…

Robotics · Computer Science 2025-10-29 Sangmin Kim , Hajun Kim , Gijeong Kim , Min-Gyu Kim , Hae-Won Park

Obstacle avoidance for multi-robot navigation with polytopic shapes is challenging. Existing works simplify the system dynamics or consider it as a convex or non-convex optimization problem with positive distance constraints between robots,…

Robotics · Computer Science 2024-06-11 Jihao Huang , Jun Zeng , Xuemin Chi , Koushil Sreenath , Zhitao Liu , Hongye Su

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

Robotics · Computer Science 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

The main contribution of this paper is the proof of the convexity of the omni-directional tethered robot workspace (namely, the set of all tether-length-admissible robot configurations), as well as a set of distance-optimal tethered path…

Robotics · Computer Science 2022-08-09 Tong Yang , Rong Xiong , Yue Wang

Multi-robot navigation in complex environments relies on inter-robot communication and mutual observations for coordination and situational awareness. This paper studies the multi-robot navigation problem in unknown environments with…

Robotics · Computer Science 2025-02-24 Ruofei Bai , Shenghai Yuan , Kun Li , Hongliang Guo , Wei-Yun Yau , Lihua Xie

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

This paper studies an optimization problem on the sum of traces of matrix quadratic forms in $m$ semi-orthogonal matrices, which can be considered as a generalization of the synchronization of rotations. While the problem is nonconvex, the…

Optimization and Control · Mathematics 2021-10-13 Joong-Ho Won , Teng Zhang , Hua Zhou

Although Trajectory Optimization (TO) is one of the most powerful motion planning tools, it suffers from expensive computational complexity as a time horizon increases in cluttered environments. It can also fail to converge to a globally…

Robotics · Computer Science 2022-03-23 Yuki Shirai , Xuan Lin , Ankur Mehta , Dennis Hong

We study the \textit{min-sum uniform coverage} problem for a swarm of $n$ mobile robots on a given finite line segment and on a circle having finite positive radius, where the circle is given as an input. The robots must coordinate their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Animesh Maiti , Abhinav Chakraborty , Bibhuti Das , Subhash Bhagat , Krishnendu Mukhopadhyaya

In this paper, we investigate joint 3-dimensional (3D) trajectory planning and resource allocation for rotary-wing unmanned aerial vehicle (UAV) synthetic aperture radar (SAR) sensing. To support emerging real-time SAR applications and…

Signal Processing · Electrical Eng. & Systems 2024-04-02 Mohamed-Amine Lahmeri , Walid R. Ghanem , Christina Bonfert , Robert Schober

Multi-modal behaviors exhibited by surrounding vehicles (SVs) can typically lead to traffic congestion and reduce the travel efficiency of autonomous vehicles (AVs) in dense traffic. This paper proposes a real-time parallel trajectory…

Robotics · Computer Science 2023-09-12 Lei Zheng , Rui Yang , Zengqi Peng , Haichao Liu , Michael Yu Wang , Jun Ma

We present a novel approach to perform probabilistic collision detection between a high-DOF robot and high-DOF obstacles in dynamic, uncertain environments. In dynamic environments with a high-DOF robot and moving obstacles, our approach…

Robotics · Computer Science 2016-07-19 Chonhyon Park , Jae Sung Park , Dinesh Manocha

Robot swarm is a hot spot in robotic research community. In this paper, we propose a decentralized framework for car-like robotic swarm which is capable of real-time planning in cluttered environments. In this system, path finding is guided…

Robotics · Computer Science 2023-07-06 Changjia Ma , Zhichao Han , Tingrui Zhang , Jingping Wang , Long Xu , Chengyang Li , Chao Xu , Fei Gao

This paper addresses the problem of real-time vision-based autonomous obstacle avoidance in unstructured environments for quadrotor UAVs. We assume that our UAV is equipped with a forward facing stereo camera as the only sensor to perceive…

Robotics · Computer Science 2020-10-20 Shakeeb Ahmad , Rafael Fierro

Trajectory optimization methods for motion planning attempt to generate trajectories that minimize a suitable objective function. Such methods efficiently find solutions even for high degree-of-freedom robots. However, a globally optimal…

Robotics · Computer Science 2019-07-18 Luka Petrović , Juraj Peršić , Marija Seder , Ivan Marković

Trajectory optimization is a powerful tool for robot motion planning and control. State-of-the-art general-purpose nonlinear programming solvers are versatile, handle constraints effectively and provide a high numerical robustness, but they…

Optimization and Control · Mathematics 2023-07-31 Lander Vanroye , Ajay Sathya , Joris De Schutter , Wilm Decré

In this paper, we present an integrated solution to memory-efficient environment modeling by an autonomous mobile robot equipped with a laser range-finder. Majority of nowadays approaches to autonomous environment modeling, called…

Robotics · Computer Science 2019-01-23 Miroslav Kulich , Viktor Kozák , Libor Přeučil

Energy efficiency and motion smoothness are essential in trajectory planning for high-degree-of-freedom robots to ensure optimal performance and reduce mechanical wear. This paper presents a novel framework integrating sinusoidal trajectory…

Robotics · Computer Science 2025-03-18 Sajjad Hussain , Md Saad , Almas Baimagambetov , Khizer Saeed