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The development of control techniques to maintain vehicle stability under possible loss-of-control scenarios is essential to the safe deployment of autonomous ground vehicles in public scenarios. In this paper, we propose a tube-based…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Carlos M. Massera , Tiago C. dos Santos , Marco H. Terra , Denis F. Wolf

The control and modeling of robot dynamics have increasingly adopted model-free control strategies using machine learning. Given the non-linear elastic nature of bionic robotic systems, learning-based methods provide reliable alternatives…

Robotics · Computer Science 2024-10-08 Po-Yu Hsieh , June-Hao Hou

Automated driving applications require accurate vehicle specific models to precisely predict and control the motion dynamics. However, modern vehicles have a wide array of digital and mechatronic components that are difficult to model,…

Systems and Control · Electrical Eng. & Systems 2021-05-11 G. Rödönyi , G. I. Beintema , R. Tóth , M. Schoukens , D. Pup , Á. Kisari , Zs. Vígh , P. Kőrös , A. Soumelidis , J. Bokor

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

A 4-independent wheel driving (4-IWD) electric vehicle has distinctive advantages with both enhanced dynamic and energy efficiency performances since this configuration provides more flexibilities from both the design and control aspects.…

Optimization and Control · Mathematics 2019-08-13 Huilong Yu , Federico Cheli , Francesco Castelli-Dezza

Robots must make and break contact with the environment to perform useful tasks, but planning and control through contact remains a formidable challenge. In this work, we achieve real-time contact-implicit model predictive control with a…

Robotics · Computer Science 2025-05-06 Vince Kurtz , Alejandro Castro , Aykut Özgün Önol , Hai Lin

In this paper we use an affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. In particular, we aim at minimizing the norm-squared of the control input to move the…

Optimization and Control · Mathematics 2007-05-23 Islam I. Hussein , Anthony M. Bloch

This paper addresses the problem of longitudinal platooning control of homogeneous vehicles subject to external disturbances, such as wind gusts, road slopes, and parametric uncertainties. Our control objective is to maintain the relative…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Emerson A. da Silva , Leonardo A. Mozelli , Armando A. Neto , Fernando O. Souza

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

We investigate optimal control of dynamical systems which are affine, i.e., linear in control, but nonlinear in state. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible, a task…

Optimization and Control · Mathematics 2016-04-06 Jakob Löber

In this paper, we describe a constrained Lagrangian and Hamiltonian formalism for the optimal control of nonholonomic mechanical systems. In particular, we aim to minimize a cost functional, given initial and final conditions where the…

Optimization and Control · Mathematics 2014-12-24 Anthony Bloch , Leonardo Colombo , Rohit Gupta , David Martin de Diego

This article develops variational integrators for a class of underactuated mechanical systems using the theory of discrete mechanics. Further, a discrete optimal control problem is formulated for the considered class of systems and…

Systems and Control · Computer Science 2018-11-16 Siddharth H. Nair , Ravi N. Banavar

In this paper, the problem of tracking desired longitudinal and lateral motions for a vehicle is addressed. Let us point out that a "good" modeling is often quite difficult or even impossible to obtain. It is due for example to parametric…

Systems and Control · Computer Science 2017-05-10 Lghani Menhour , Brigitte d'Andréa-Novel , Michel Fliess , Dominique Gruyer , Hugues Mounier

In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

Optimization and Control · Mathematics 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

Driving vehicles in complex scenarios under harsh conditions is the biggest challenge for autonomous vehicles (AVs). To address this issue, we propose hierarchical motion planning and robust control strategy using the front-active steering…

Robotics · Computer Science 2024-02-08 Hung Duy Nguyen , Minh Nhat Vu , Nguyen Ngoc Nam , Kyoungseok Han

A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control…

Optimization and Control · Mathematics 2007-09-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Nonholonomic models of automobiles are developed by utilizing tools of analytical mechanics, in particular the Appellian approach that allows one to describe the vehicle dynamics with minimum number of time-dependent state variables. The…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Wubing B. Qin , Yiming Zhang , Dénes Takács , Gábor Stépán , Gábor Orosz

Current developments in autonomous off-road driving are steadily increasing performance through higher speeds and more challenging, unstructured environments. However, this operating regime subjects the vehicle to larger inertial effects,…

Robotics · Computer Science 2024-05-28 Tyler Han , Sidharth Talia , Rohan Panicker , Preet Shah , Neel Jawale , Byron Boots

In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control problems. Our approach leverages offline training on data…

Optimization and Control · Mathematics 2025-11-20 Gage MacLin , Venanzio Cichella , Andrew Patterson , Irene Gregory

Driverless vehicles are complex systems operating in constantly changing environments. Automated driving is achieved by controlling the coupled longitudinal and lateral vehicle dynamics. Model predictive control is one of the most promising…

Optimization and Control · Mathematics 2025-09-25 Yassine Kebbati , Naima Ait-Oufroukh , Vicenç Puig , Vincent Vigneron , Dalil Ichalal