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This paper introduces a general Lie group framework for modeling continuum soft robots, employing Cosserat rod theory combined with cumulative parameterization on the Lie group SE(3). This novel approach addresses limitations present in…

Robotics · Computer Science 2026-03-10 Lingxiao Xun , Benoît Rosa , Jérôme Szewczyk , Brahim Tamadazte

Screw and Lie group theory allows for user-friendly modeling of multibody systems (MBS) while at the same they give rise to computationally efficient recursive algorithms. The inherent frame invariance of such formulations allows for use of…

Numerical Analysis · Mathematics 2023-07-03 Andreas Mueller

Autonomous racing is increasingly becoming a proving ground for autonomous vehicle technology at the limits of its current capabilities. The most prominent examples include the F1Tenth racing series, Formula Student Driverless (FSD),…

Robotics · Computer Science 2023-06-07 Jingyun Ning , Madhur Behl

This paper focuses on automatic guided vehicle (AGV) trajectory planning in the presence of moving obstacles with known but complicated trajectories. In order to achieve good solution precision, optimality and unification, the concerned…

Robotics · Computer Science 2021-04-06 Bai Li , Youmin Zhang , Yakun Ouyang , Yi Liu , Xiang Zhong , Hangjie Cen , Qi Kong

We develop the equations of motion for full body models that describe the dynamics of rigid bodies, acting under their mutual gravity. The equations are derived using a variational approach where variations are defined on the Lie group of…

Numerical Analysis · Mathematics 2009-09-29 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Motion planning of autonomous agents in partially known environments with incomplete information is a challenging problem, particularly for complex tasks. This paper proposes a model-free reinforcement learning approach to address this…

Artificial Intelligence · Computer Science 2023-05-02 Junchao Li , Mingyu Cai , Zhen Kan , Shaoping Xiao

The risen complexity of automotive systems requires new development strategies and methods to master the upcoming challenges. Traditional methods need thus to be changed by an increased level of automation, and a faster continuous…

Software Engineering · Computer Science 2024-04-04 Romina Eramo , Hamzeh Eyal Salman , Matteo Spezialetti , Darko Stern , Pierre Quinton , Antonio Cicchetti

This paper considers a combination of actuation tendons and measurement strings to achieve accurate shape sensing and direct kinematics of continuum robots. Assuming general string routing, a methodical Lie group formulation for the shape…

Robotics · Computer Science 2022-12-26 Andrew L. Orekhov , Elan Z. Ahronovich , Nabil Simaan

We describe a new method to formulate classical Lagrangian mechanics on a finite-dimensional Lie group. This new approach is much more pedagogical than many previous treatments of the subject, and it directly introduces students to…

Classical Physics · Physics 2011-11-08 A. Lucas

Through the method of Learning Feedback Linearization, we seek to learn a linearizing controller to simplify the process of controlling a car to race autonomously. A soft actor-critic approach is used to learn a decoupling matrix and drift…

Optimization and Control · Mathematics 2021-10-22 Michael Estrada , Sida Li , Xiangyu Cai

In this paper, we provide a decentralized theoretical framework for coordination of connected and automated vehicles (CAVs) at different traffic scenarios. The framework includes: (1) an upper-level optimization that yields for each CAV its…

Optimization and Control · Mathematics 2021-07-14 Andreas A. Malikopoulos , Logan E. Beaver , Ioannis Vasileios Chremos

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 presents a distributed method for multi-vehicle coordination based on nonlinear model predictive control (NMPC) and dual decomposition. Our approach allows the vehicles to coordinate in tight spaces (e.g., busy highway lanes or…

Robotics · Computer Science 2024-06-11 Roya Firoozi , Laura Ferranti , Xiaojing Zhang , Sebastian Nejadnik , Francesco Borrelli

Since they were introduced in the 1990s, Lie group integrators have become a method of choice in many application areas. These include multibody dynamics, shape analysis, data science, image registration and biophysical simulations. Two…

Numerical Analysis · Mathematics 2021-10-15 Elena Celledoni , Ergys Çokaj , Andrea Leone , Davide Murari , Brynjulf Owren

Mobile manipulators are finding use in numerous practical applications. The current issues with mobile manipulation are the large state space owing to the mobile base and the challenge of modeling high degree of freedom systems. It is…

Robotics · Computer Science 2024-10-22 William Smith , Siddharth Singh , Julia Rudy , Yuxiang Guan

Autonomous race driving poses a complex control challenge as vehicles must be operated at the edge of their handling limits to reduce lap times while respecting physical and safety constraints. This paper presents a novel reinforcement…

Robotics · Computer Science 2024-06-24 Yuanda Wang , Xin Yuan , Changyin Sun

In this study, we are concerned with autonomous driving missions when a static obstacle blocks a given reference trajectory. To provide a realistic control design, we employ a model predictive control (MPC) utilizing nonlinear state-space…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Maryam Nezami , Dimitrios S. Karachalios , Georg Schildbach , Hossam S. Abbas

We consider model order reduction of parameterized Hamiltonian systems describing nondissipative phenomena, like wave-type and transport dominated problems. The development of reduced basis methods for such models is challenged by two main…

Numerical Analysis · Mathematics 2021-05-27 Cecilia Pagliantini

Ensuring safety in autonomous vehicles necessitates advanced path planning and obstacle avoidance capabilities, particularly in dynamic environments. This paper introduces a bi-level control framework that efficiently augments road…

Robotics · Computer Science 2025-10-07 Mostafa Emam , Matthias Gerdts

Autonomous car racing is a major challenge in robotics. It raises fundamental problems for classical approaches such as planning minimum-time trajectories under uncertain dynamics and controlling the car at the limits of its handling.…

Artificial Intelligence · Computer Science 2021-05-11 Florian Fuchs , Yunlong Song , Elia Kaufmann , Davide Scaramuzza , Peter Duerr