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This paper proposes a path planning algorithm for autonomous vehicles, evaluating collision severity with respect to both static and dynamic obstacles. A collision severity map is generated from ratings, quantifying the severity of…

Robotics · Computer Science 2024-08-30 Qiannan Wang , Matthias Gerdts

Path planning is a classic problem for autonomous robots. To ensure safe and efficient point-to-point navigation an appropriate algorithm should be chosen keeping the robot's dimensions and its classification in mind. Autonomous robots use…

Robotics · Computer Science 2023-05-01 Alka Choudhary

Discrete-time stochastic optimal control remains a challenging problem for general, nonlinear systems under significant uncertainty, with practical solvers typically relying on the certainty equivalence assumption, replanning and/or…

Systems and Control · Electrical Eng. & Systems 2021-03-12 Joe Watson , Jan Peters

We address the role of noise and the issue of efficient computation in stochastic optimal control problems. We consider a class of non-linear control problems that can be formulated as a path integral and where the noise plays the role of…

Computational Physics · Physics 2009-11-10 H. J. Kappen

Obstacle avoidance and path planning are essential for guiding unmanned ground vehicles (UGVs) through environments that are densely populated with dynamic obstacles. This paper develops a novel approach that combines tangentbased path…

Robotics · Computer Science 2025-11-12 Okan Arif Guvenkaya , Selim Ahmet Iz , Mustafa Unel

For safe operation, a robot must be able to avoid collisions in uncertain environments. Existing approaches for motion planning under uncertainties often assume parametric obstacle representations and Gaussian uncertainty, which can be…

Robotics · Computer Science 2023-12-04 Ralf Römer , Armin Lederer , Samuel Tesfazgi , Sandra Hirche

For many tasks, predictive path-following control can significantly improve the performance and robustness of autonomous robots over traditional trajectory tracking control. It does this by prioritizing closeness to the path over timed…

Robotics · Computer Science 2017-11-03 Melissa Greeff , Angela P. Schoellig

An efficient path planner for autonomous car-like vehicles should handle the strong kinematic constraints, particularly in confined spaces commonly encountered while maneuvering in city traffic, and should enable rapid planning, as the city…

Robotics · Computer Science 2020-03-03 Piotr Kicki , Tomasz Gawron , Piotr Skrzypczyński

We focus on the problem of long-range dynamic replanning for off-road autonomous vehicles, where a robot plans paths through a previously unobserved environment while continuously receiving noisy local observations. An effective approach…

Robotics · Computer Science 2024-03-19 Matt Schmittle , Rohan Baijal , Brian Hou , Siddhartha Srinivasa , Byron Boots

We study the problem of \textit{safe control of linear dynamical systems corrupted with non-stochastic noise}, and provide an algorithm that guarantees (i) zero constraint violation of convex time-varying constraints, and (ii) bounded…

Systems and Control · Electrical Eng. & Systems 2023-08-25 Hongyu Zhou , Vasileios Tzoumas

This paper presents a solution for the problem of optimal planning for a robot in a collaborative human-robot team, where the human supervisor is intermittently available to assist the robot in completing tasks more quickly. Specifically,…

Robotics · Computer Science 2023-07-11 Abhinav Dahiya , Stephen L. Smith

Many complex real world phenomena exhibit abrupt, intermittent or jumping behaviors, which are more suitable to be described by stochastic differential equations under non-Gaussian L\'evy noise. Among these complex phenomena, the most…

Numerical Analysis · Mathematics 2023-09-15 Wei Wei , Ting Gao , Jinqiao Duan , Xiaoli Chen

This article extends the optimal covariance steering (CS) problem for discrete time linear stochastic systems modeled using moment-based ambiguity sets. To hedge against the uncertainty in the state distributions while performing covariance…

Optimization and Control · Mathematics 2022-11-09 Venkatraman Renganathan , Joshua Pilipovsky , Panagiotis Tsiotras

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

Optimization and Control · Mathematics 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

Motion planning and control are two core components of the robotic systems autonomy stack. The standard approach to combine these methodologies comprises an offline/open-loop stage, planning, that designs a feasible and safe trajectory to…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Tianqi Zheng , John W. Simpson-Porco , Enrique Mallada

We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

Optimization and Control · Mathematics 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

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

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

In autonomous driving, accurate motion prediction is crucial for safe and efficient motion planning. To ensure safety, planners require reliable uncertainty estimates of the predicted behavior of surrounding agents, yet this aspect has…

Robotics · Computer Science 2025-03-03 Aron Distelzweig , Andreas Look , Eitan Kosman , Faris Janjoš , Jörg Wagner , Abhinav Valada

Driving on the limits of vehicle dynamics requires predictive planning of future vehicle states. In this work, a search-based motion planning is used to generate suitable reference trajectories of dynamic vehicle states with the goal to…

Robotics · Computer Science 2019-07-19 Zlatan Ajanovic , Enrico Regolin , Georg Stettinger , Martin Horn , Antonella Ferrara