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In this paper, a risk map-based path planning algorithm is introduced for autonomous vehicles. Multivariate B-splines are implemented to generate a risk map, which measures the risk of colliding with different objects. In the following…

Optimization and Control · Mathematics 2022-03-09 Qiannan Wang , Matthias Gerdts

Centralized trajectory optimization in the joint space of multiple robots allows access to a larger feasible space that can result in smoother trajectories, especially while planning in tight spaces. Unfortunately, it is often…

Robotics · Computer Science 2026-04-22 Simon Idoko , Prajyot Jadhav , Arun Kumar Singh

The problem of maneuvering a vehicle through a race course in minimum time requires computation of both longitudinal (brake and throttle) and lateral (steering wheel) control inputs. Unfortunately, solving the resulting nonlinear optimal…

Robotics · Computer Science 2019-02-05 Nitin R. Kapania , John Subosits , J Christian Gerdes

This paper considers a trajectory planning problem for a robot navigating complex terrains, which arises in applications ranging from autonomous mining vehicles to planetary rovers. The problem seeks to find a low-cost dynamically feasible…

Robotics · Computer Science 2024-07-04 Yilin Cai , Zhongqiang Ren

This paper devotes to the development of an optimal acceleration/speed profile for autonomous vehicles approaching a traffic light. The design objective is to achieve both short travel time and low energy consumption as well as avoid idling…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Xiangyu Meng , Christos G. Cassandras

We prove in this work that the well-known lasso problem can be solved exactly without homotopy using novel differential inclusions techniques. Specifically, we show that a selection principle from the theory of differential inclusions…

Optimization and Control · Mathematics 2025-10-21 Gabriel P. Langlois , Jérôme Darbon

This paper presents a trajectory planner for autonomous driving based on a Nonlinear Model Predictive Control (NMPC) algorithm that accounts for Pacejka's nonlinear lateral tyre dynamics as well as for zero speed conditions through a novel…

Robotics · Computer Science 2022-06-15 Francesco Micheli , Mattia Bersani , Stefano Arrigoni , Francesco Braghin , Federico Cheli

In this work, we present a workspace-based planning framework, which though using redundant workspace key-points to represent robot states, can take advantage of the interpretable geometric information to derive good quality collision-free…

Robotics · Computer Science 2022-06-17 Weifu Wang , Ping Li

Autonomous vehicles are the upcoming solution to most transportation problems such as safety, comfort and efficiency. The steering control is one of the main important tasks in achieving autonomous driving. Model predictive control (MPC) is…

Optimization and Control · Mathematics 2025-09-23 Yassine Kebbati , Vicenç Puig , Naima Ait-Oufroukh , Vincent Vigneron , Dalil Ichalal

Jerk-constrained trajectories offer a wide range of advantages that collectively improve the performance of robotic systems, including increased energy efficiency, durability, and safety. In this paper, we present a novel approach to…

Robotics · Computer Science 2025-01-28 Jee-eun Lee , Andrew Bylard , Robert Sun , Luis Sentis

In this paper we propose a hierarchical controller for autonomous racing where the same vehicle model is used in a two level optimization framework for motion planning. The high-level controller computes a trajectory that minimizes the lap…

Robotics · Computer Science 2020-03-12 José L. Vázquez , Marius Brühlmeier , Alexander Liniger , Alisa Rupenyan , John Lygeros

Enforcing safety while preventing overly conservative behaviors is essential for autonomous vehicles to achieve high task performance. In this paper, we propose a barrier-enhanced parallel homotopic trajectory optimization (BPHTO) approach…

Robotics · Computer Science 2025-05-13 Lei Zheng , Rui Yang , Michael Yu Wang , Jun Ma

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

As the potential for autonomous vehicles to be integrated on a large scale into modern traffic systems continues to grow, ensuring safe navigation in dynamic environments is crucial for smooth integration. To guarantee safety and prevent…

Collision avoidance is one of the most challenging tasks people need to consider for developing the self-driving technology. In this paper we propose a new spatiotemporal motion planning algorithm that efficiently solves a constrained…

Robotics · Computer Science 2022-02-18 Changxi You

This paper presents a global trajectory optimization framework for minimizing lap time in autonomous racing under uncertain vehicle dynamics. Optimizing the trajectory over the full racing horizon is computationally expensive, and tracking…

Robotics · Computer Science 2026-01-30 Youngim Nam , Jungbin Kim , Kyungtae Kang , Cheolhyeon Kwon

We present a novel algorithm for computing collision-free navigation for heterogeneous road-agents such as cars, tricycles, bicycles, and pedestrians in dense traffic. Our approach currently assumes the positions, shapes, and velocities of…

Robotics · Computer Science 2018-11-15 Yuexin Ma , Dinesh Manocha , Wenping Wang

Self-driving vehicles must be able to act intelligently in diverse and difficult environments, marked by high-dimensional state spaces, a myriad of optimization objectives and complex behaviors. Traditionally, classical optimization and…

Robotics · Computer Science 2020-11-11 Josiah Coad , Zhiqian Qiao , John M. Dolan

Manoeuvring in the presence of emergency vehicles is still a major issue for vehicle autonomy systems. Most studies that address this topic are based on rule-based methods, which cannot cover all possible scenarios that can take place in…

Robotics · Computer Science 2022-11-01 Leandro Parada , Eduardo Candela , Luis Marques , Panagiotis Angeloudis

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa