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Designing controllers to generate various trajectories has been studied for years, while recently, recovering an optimal controller from trajectories receives increasing attention. In this paper, we reveal that the inherent linear quadratic…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Chendi Qu , Jianping He , Xiaoming Duan

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

Hybrid dynamical systems pose significant challenges for effective planning and control, especially when additional constraints such as obstacle avoidance, state boundaries, and actuation limits are present. In this letter, we extend the…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Pietro Noah Crestaz , Gokhan Alcan , Ville Kyrki

Online planning of collision-free trajectories is a fundamental task for robotics and self-driving car applications. This paper revisits collision avoidance between ellipsoidal objects using differentiable constraints. Two ellipsoids do not…

Robotics · Computer Science 2025-04-28 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Boris Houska , Moritz Diehl

We consider the problem of interaction-aware motion planning for automated vehicles in general traffic situations. We model the interaction between the controlled vehicle and surrounding road users using a generalized potential game, in…

Optimization and Control · Mathematics 2023-05-09 Brecht Evens , Mathijs Schuurmans , Panagiotis Patrinos

This article addresses obstacle avoidance motion planning for autonomous vehicles, specifically focusing on highway overtaking maneuvers. The control design challenge is handled by considering a mathematical vehicle model that captures both…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Gianni Cario , Valentino Carriuolo , Alessandro Casavola , Gianfranco Gagliardi , Marco Lupia , Franco Angelo Torchiaro

This paper discusses discretization methods for implementing nonlinear model predictive controllers using Iterative Linear Quadratic Regulator (ILQR). Finite-difference approximations are mostly used to derive a discrete-time state equation…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Katsuya Shigematsu , Hikaru Hoshino , Eiko Furutani

In this paper, a novel closed-loop control framework for autonomous obstacle avoidance on a curve road is presented. The proposed framework provides two main functionalities; (i) collision free trajectory planning using MPC and (ii) a…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Shayan Taherian , Shilp Dixit , Umberto Montanaro , Saber Fallah

Recent strides in nonlinear model predictive control (NMPC) underscore a dependence on numerical advancements to efficiently and accurately solve large-scale problems. Given the substantial number of variables characterizing typical…

Robotics · Computer Science 2024-06-04 Wilson Jallet , Ewen Dantec , Etienne Arlaud , Justin Carpentier , Nicolas Mansard

This paper presents a decentralized and asynchronous systematic solution for multi-robot autonomous navigation in unknown obstacle-rich scenes using merely onboard resources. The planning system is formulated under gradient-based local…

Robotics · Computer Science 2021-05-06 Xin Zhou , Jiangchao Zhu , Hongyu Zhou , Chao Xu , Fei Gao

This paper investigates the performance of Newton's method, iterative Linear Quadratic Regulator (iLQR), and Differential Dynamic Programming (DDP) in solving discrete-time optimal control problems. We offer a unified perspective on these…

Optimization and Control · Mathematics 2026-05-26 Abhijeet , Suman Chakravorty

Motion planning in the presence of multiple dynamic obstacles is an important research problem from the perspective of autonomous vehicles as well as space-constrained multi-robot work environment. In this paper, we address the motion…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Trishant Roy , Anindya Harchowdhury , Leena Vachhani

With the rapid development of autonomous driving, the attention of academia has increasingly focused on the development of anti-collision systems in emergency scenarios, which have a crucial impact on driving safety. While numerous…

Robotics · Computer Science 2023-04-24 Guoying Chen , Xinyu Wang , Min Hua , Wei Liu

Low-cost distributed robots suffer from limited onboard computing power, resulting in excessive computation time when navigating in cluttered environments. This paper presents Edge Accelerated Robot Navigation (EARN), to achieve real-time…

Robotics · Computer Science 2024-06-26 Guoliang Li , Ruihua Han , Shuai Wang , Fei Gao , Yonina C. Eldar , Chengzhong Xu

Collision avoidance requires tradeoffs in planning time horizons. Depending on the planner, safety cannot always be guaranteed in uncertain environments given map updates. To mitigate situations where the planner leads the vehicle into a…

Robotics · Computer Science 2022-06-22 Jasmine Cheng , Xuning Yang , Nathan Michael

This paper proposes an interaction and safety-aware motion-planning method for an autonomous vehicle in uncertain multi-vehicle traffic environments. The method integrates the ability of the interaction-aware interacting multiple model…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Jian Zhou , Björn Olofsson , Erik Frisk

Path planning is a key component in motion planning for autonomous vehicles. A path specifies the geometrical shape that the vehicle will travel, thus, it is critical to safe and comfortable vehicle motions. For urban driving scenarios,…

Robotics · Computer Science 2021-12-07 Yajia Zhang , Hongyi Sun , Jinyun Zhou , Jiacheng Pan , Jiangtao Hu , Jinghao Miao

In highly interactive driving scenarios, the actions of one agent greatly influences those of its neighbors. Planning safe motions for autonomous vehicles in such interactive environments, therefore, requires reasoning about the impact of…

Robotics · Computer Science 2023-11-27 Yuxiao Chen , Sushant Veer , Peter Karkus , Marco Pavone

Motion planning seeks a collision-free path in a configuration space (C-space), representing all possible robot configurations in the environment. As it is challenging to construct a C-space explicitly for a high-dimensional robot, we…

Robotics · Computer Science 2023-05-19 Yoonchang Sung , Peter Stone

Considerable research efforts have been devoted to the development of motion planning algorithms, which form a cornerstone of the autonomous driving system (ADS). Nonetheless, acquiring an interactive and secure trajectory for the ADS…

Robotics · Computer Science 2024-02-19 Yingbing Chen , Jie Cheng , Lu Gan , Sheng Wang , Hongji Liu , Xiaodong Mei , Ming Liu
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