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This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

Computing collision-free trajectories is of prime importance for safe navigation. We present an approach for computing the collision probability under Gaussian distributed motion and sensing uncertainty with the robot and static obstacle…

Robotics · Computer Science 2021-11-05 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

During the last decade, sampling-based path planning algorithms, such as Probabilistic RoadMaps (PRM) and Rapidly-exploring Random Trees (RRT), have been shown to work well in practice and possess theoretical guarantees such as…

Robotics · Computer Science 2011-05-09 Sertac Karaman , Emilio Frazzoli

Robots will increasingly operate near humans that introduce uncertainties in the motion planning problem due to their complex nature. Typically, chance constraints are introduced in the planner to optimize performance while guaranteeing…

Robotics · Computer Science 2023-07-04 Oscar de Groot , Laura Ferranti , Dariu Gavrila , Javier Alonso-Mora

Gaussian Processes (GPs) are widely employed in control and learning because of their principled treatment of uncertainty. However, tracking uncertainty for iterative, multi-step predictions in general leads to an analytically intractable…

During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs) have been shown to work well in practice and to possess theoretical guarantees such as probabilistic…

Robotics · Computer Science 2010-05-05 Sertac Karaman , Emilio Frazzoli

We present a sample-based motion planning algorithm specialised to a class of underactuated systems using path parameterisation. The structure this class presents under a path parameterisation enables the trivial computation of dynamic…

Robotics · Computer Science 2024-09-10 Damian Abood , Ian R. Manchester

The most crucial challenges for UAVs are planning paths and avoiding obstacles in their way. In recent years, a wide variety of path-planning algorithms have been developed. These algorithms have successfully solved path-planning problems;…

Robotics · Computer Science 2025-08-27 Hichem Cheriet , Khellat Kihel Badra , Chouraqui Samira

Physically disentangling entangled objects from each other is a problem encountered in waste segregation or in any task that requires disassembly of structures. Often there are no object models, and, especially with cluttered irregularly…

Robotics · Computer Science 2021-04-13 Joni Pajarinen , Oleg Arenz , Jan Peters , Gerhard Neumann

Collision-free mobile robot navigation is an important problem for many robotics applications, especially in cluttered environments. In such environments, obstacles can be static or dynamic. Dynamic obstacles can additionally be…

Robotics · Computer Science 2023-02-28 Baskın Şenbaşlar , Gaurav S. Sukhatme

Safe motion planning in uncertain, time-varying environments is challenging because the safe region can change unpredictably across planning steps, often causing a loss of recursive feasibility. In this work, we present a Probabilistic…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Hyeontae Sung , Hyeongchan Ham , Junyoung Park , Kai Ren , Heejin Ahn

In this paper a class of optimization problems with uncertain linear constraints is discussed. It is assumed that the constraint coefficients are random vectors whose probability distributions are only partially known. Possibility theory is…

Optimization and Control · Mathematics 2021-11-30 Romain Guillaume , Adam Kasperski , Pawel Zielinski

This paper presents a two-step algorithm for online trajectory planning in indoor environments with unknown obstacles. In the first step, sampling-based path planning techniques such as the optimal Rapidly exploring Random Tree (RRT*)…

Robotics · Computer Science 2023-02-07 Martin Zimmermann , Minh Nhat Vu , Florian Beck , Anh Nguyen , Andreas Kugi

Rapidly-exploring Random Tree star (RRT*) has recently gained immense popularity in the motion planning community as it provides a probabilistically complete and asymptotically optimal solution without requiring the complete information of…

Robotics · Computer Science 2018-07-24 Zaid Tahir , Ahmed H. Qureshi , Yasar Ayaz , Raheel Nawaz

Most of the routing algorithms for unmanned vehicles, that arise in data gathering and monitoring applications in the literature, rely on the Global Positioning System (GPS) information for localization. However, disruption of GPS signals…

Robotics · Computer Science 2017-12-21 Kaarthik Sundar , Sohum Misra , Sivakumar Rathinam , Rajnikant Sharma

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

Path planning in obstacle-dense environments is a key challenge in robotics, and depends on inferring scene attributes and associated uncertainties. We present a multiple-hypothesis path planner designed to navigate complex environments…

Robotics · Computer Science 2023-08-16 Brian H. Wang , Beatriz Asfora , Rachel Zheng , Aaron Peng , Jacopo Banfi , Mark Campbell

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

Essential tasks in autonomous driving includes environment perception, detection and tracking, path planning and action control. This paper focus on path planning, which is one of the challenging task as it needs to find optimal path in…

Robotics · Computer Science 2024-02-20 Sugirtha T , Pranav S , Nitin Benjamin Dasiah , Sridevi M

We address the problem of finite-horizon control of a discrete-time linear system, where the initial state distribution follows a Gaussian mixture model, the terminal state must follow a specified Gaussian distribution, and the state and…

Optimization and Control · Mathematics 2024-09-10 Naoya Kumagai , Kenshiro Oguri