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Ensuring safety and driving consistency is a significant challenge for autonomous vehicles operating in partially observed environments. This work introduces a consistent parallel trajectory optimization (CPTO) approach to enable safe and…

Robotics · Computer Science 2026-05-12 Lei Zheng , Rui Yang , Minzhe Zheng , Michael Yu Wang , Jun Ma

Recent advancements in self-driving car technologies have enabled them to navigate autonomously through various environments. However, one of the critical challenges in autonomous vehicle operation is trajectory planning, especially in…

Autonomous sailboats are well suited for long-duration ocean observation due to their wind-driven endurance. However, their performance is highly anisotropic and strongly influenced by inhomogeneous and time-varying wind and current fields,…

Robotics · Computer Science 2026-02-19 Yang An , Zhikang Ge , Taiyu Zhang , Jean-Baptiste R. G. Souppez , Gaofei Xu , Zhengru Ren

This paper proposes a method for formation path following control of a fleet of underactuated autonomous underwater vehicles. The proposed method combines several hierarchic tasks in a null space-based behavioral algorithm to safely guide…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Josef Matouš , Kristin Y. Pettersen , Damiano Varagnolo , Claudio Paliotta

In hybrid force-velocity control, the robot can use velocity control in some directions to follow a trajectory, while performing force control in other directions to maintain contacts with the environment regardless of positional errors. We…

Robotics · Computer Science 2019-12-09 Yifan Hou , Matthew T. Mason

We study the problem of coordinating multiple robots along fixed geometric paths. Our contribution is threefold. First we formalize the intuitive concept of priorities as a binary relation induced by a feasible coordination solution,…

Robotics · Computer Science 2015-08-05 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

The Topological complexity a la Farber $\text{TC}(-)$ is a homotopy invariant which have interesting applications in Robotics, specifically, in the robot motion planning problem. In this work we calculate the topological complexity of the…

Algebraic Topology · Mathematics 2019-11-12 Cesar A. Ipanaque Zapata

Autonomous marine vessels are expected to avoid inter-vessel collisions and comply with the international regulations for safe voyages. This paper presents a stepwise path planning method using stream functions. The dynamic flow of fluids…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Hongyu Zhou , Zhengru Ren , Mathias Marley , Roger Skjetne

Multi-UAV systems are safety-critical, and guarantees must be made to ensure no unsafe configurations occur. Hamilton-Jacobi (HJ) reachability is ideal for analyzing such safety-critical systems; however, its direct application is limited…

Multiagent Systems · Computer Science 2017-06-09 Somil Bansal , Mo Chen , Jaime F. Fisac , Claire J. Tomlin

This article focuses on integrating path-planning and control with specializing on the unique needs of robotic unicycles. A unicycle design is presented which is capable of accelerating/breaking and carrying out a variety of maneuvers. The…

Robotics · Computer Science 2025-07-04 Máté B. Vizi , Dénes Tákács , Gábor Stépán , Gábor Orosz

In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and…

Dynamical Systems · Mathematics 2025-02-04 Julia Ackermann , Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

Using a designed vector field to control a mobile robot to follow a given desired path is intuitive and practical, and to build a rigorous theory to guide its implementation is essential. In this paper, we study the properties of a general…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Weijia Yao , Ming Cao

Safe navigation within a workspace is a fundamental skill for autonomous robots to accomplish more complex tasks. Harmonic potentials are artificial potential fields that are analytical, globally convergent and provably free of local…

Robotics · Computer Science 2025-07-15 Shuaikang Wang , Tiecheng Guo , Meng Guo

This work develops a robust nonlinear Model Predictive Control (MPC) framework for path tracking in autonomous vehicles operating at the limits of handling utilizing a Control Contraction Metric (CCM) derived from a perturbed dynamic single…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Joscha F. Bongard , Valentin L. Krieger , Boris Lohmann

This work introduces a novel paradigm for solving optimal control problems for hybrid dynamical systems under uncertainties. Robotic systems having contact with the environment can be modeled as hybrid systems. Controller design for hybrid…

Robotics · Computer Science 2024-11-04 Hongzhe Yu , Diana Frias Franco , Aaron M. Johnson , Yongxin Chen

Planning a safe and feasible trajectory for autonomous vehicles in real-time by fully utilizing perceptual information in complex urban environments is challenging. In this paper, we propose a spatio-temporal trajectory planning method…

Robotics · Computer Science 2025-02-26 Shan He , Yalong Ma , Tao Song , Yongzhi Jiang , Xinkai Wu

This paper considers the problem of fast and safe autonomous navigation in partially known environments. Our main contribution is a control policy design based on ellipsoidal trajectory bounds obtained from a quadratic state-dependent…

Robotics · Computer Science 2020-02-27 Zhichao Li , Omur Arslan , Nikolay Atanasov

We present a novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Quan Nguyen , Koushil Sreenath

In this article, we propose an optimization-based integrated behavior planning and motion control scheme, which is an interpretable and adaptable urban autonomous driving solution that complies with complex traffic rules while ensuring…

Robotics · Computer Science 2023-12-01 Haichao Liu , Kai Chen , Yulin Li , Zhenmin Huang , Jianghua Duan , Jun Ma

Provably safe and scalable multi-vehicle path planning is an important and urgent problem due to the expected increase of automation in civilian airspace in the near future. Although this problem has been studied in the past, there has not…

Multiagent Systems · Computer Science 2016-11-28 Mo Chen , Somil Bansal , Jaime F. Fisac , Claire J. Tomlin