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This paper presents a game-theoretic path-following formulation where the opponent is an adversary road model. This formulation allows us to compute safe sets using tools from viability theory, that can be used as terminal constraints in an…

Robotics · Computer Science 2020-05-18 Alexander Liniger , Luc van Gool

This paper describes autonomous racing of RC race cars based on mathematical optimization. Using a dynamical model of the vehicle, control inputs are computed by receding horizon based controllers, where the objective is to maximize…

Optimization and Control · Mathematics 2017-11-21 Alexander Liniger , Alexander Domahidi , Manfred Morari

This paper presents a guidance algorithm for solving the problem of following parametric paths, as well as a curvature-varying speed setpoint for land-based car-type wheeled mobile robots (WMRs). The guidance algorithm relies on…

Robotics · Computer Science 2026-01-16 Alfredo González-Calvin , Lía García-Pérez , Juan Jiménez

A typical manipulation task consists of a manipulator equipped with a gripper to grasp and move an object with constraints on the motion of the hand-held object, which may be due to the nature of the task itself or from object-environment…

In this article, a new model for 3D motion planning, applicable to aerial vehicles, is proposed to connect an initial and final configuration subject to pitch rate and yaw rate constraints. The motion planning problem for a…

Optimization and Control · Mathematics 2026-04-14 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David Casbeer

Mobile manipulators promise agile, long-horizon behavior by coordinating base and arm motion, yet whole-body trajectory optimization in cluttered, confined spaces remains difficult due to high-dimensional nonconvexity and the need for fast,…

Deep learning-based methods are growing prominence for planning purposes. In this paper, we present a hybrid planner that combines a graph machine learning model and an optimal solver based on branch and bound tree search for path-planning…

Artificial Intelligence · Computer Science 2022-04-05 Kevin Osanlou , Andrei Bursuc , Christophe Guettier , Tristan Cazenave , Eric Jacopin

In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical…

Robotics · Computer Science 2013-05-23 Shilpa Gulati , Chetan Jhurani , Benjamin Kuipers

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

Real-time motion planning is a vital function of robotic systems. Different from existing roadmap algorithms which first determine the free space and then determine the collision-free path, researchers recently proposed several convex…

Robotics · Computer Science 2019-03-01 Chaoyi Sun , Qing Li , Li Li

This paper investigates the collaboration of multiple connected and automated vehicles (CAVs) in different scenarios. In general, the collaboration of CAVs can be formulated as a nonlinear and nonconvex model predictive control (MPC)…

Optimization and Control · Mathematics 2022-07-26 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Frank L. Lewis , Tong Heng Lee

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

This paper details an approach to linearise differentiable but non-convex collision avoidance constraints tailored to convex shapes. It revisits introducing differential collision avoidance constraints for convex objects into an optimal…

Optimization and Control · Mathematics 2025-05-19 Dries Dirckx , Wilm Decré , Jan Swevers

We propose factor graph optimization for simultaneous planning, control, and trajectory estimation for collision-free navigation of autonomous systems in environments with moving objects. The proposed online probabilistic motion planning…

Robotics · Computer Science 2022-04-29 Matthew King-Smith , Panagiotis Tsiotras , Frank Dellaert

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora

In this paper we address the speed planning problem for a vehicle over an assigned path with the aim of minimizing a weighted sum of travel time and energy consumption under suitable constraints (maximum allowed speed, maximum traction or…

Optimization and Control · Mathematics 2025-07-22 Stefano Ardizzoni , Luca Consolini , Mattia Laurini , Marco Locatelli

This paper presents a novel data-driven approach to vehicle motion planning and control in off-road driving scenarios. For autonomous off-road driving, environmental conditions impact terrain traversability as a function of weather, surface…

Robotics · Computer Science 2018-05-28 Hossein Rastgoftar , Bingxin Zhang , Ella M. Atkins

This paper presents a novel planning and control strategy for competing with multiple vehicles in a car racing scenario. The proposed racing strategy switches between two modes. When there are no surrounding vehicles, a learning-based model…

Robotics · Computer Science 2022-03-29 Suiyi He , Jun Zeng , Koushil Sreenath

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

Robotics · Computer Science 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold