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Iterative learning control has been successfully used for several decades to improve the performance of control systems that perform a single repeated task. Using information from prior control executions, learning controllers gradually…

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

This paper proposes an interior-point framework for constrained optimization problems whose decision variables evolve on matrix Lie groups. The proposed method, termed the Matrix Lie Group Interior-Point Method (MLG-IPM), operates directly…

Optimization and Control · Mathematics 2026-03-31 Aclécio J. Santos , Jean C. Pereira , Guilherme V. Raffo

Neural operators offer an effective framework for learning solutions of partial differential equations for many physical systems in a resolution-invariant and data-driven manner. Existing neural operators, however, often suffer from…

A novel learning Model Predictive Control technique is applied to the autonomous racing problem. The goal of the controller is to minimize the time to complete a lap. The proposed control strategy uses the data from previous laps to improve…

Machine Learning · Computer Science 2017-11-10 Ugo Rosolia , Ashwin Carvalho , Francesco Borrelli

Enhancing simulation environments to replicate real-world driver behavior, i.e., more humanlike sim agents, is essential for developing autonomous vehicle technology. In the context of highway merging, previous works have studied the…

Artificial Intelligence · Computer Science 2025-07-18 Dustin Holley , Jovin D'sa , Hossein Nourkhiz Mahjoub , Gibran Ali

Learning-based model predictive control has been widely applied in autonomous racing to improve the closed-loop behaviour of vehicles in a data-driven manner. When environmental conditions change, e.g., due to rain, often only the…

We present a method to approximately solve general instances of combinatorial optimization problems using the physical dynamics of 3d rotors obeying Landau-Lifshitz-Gilbert dynamics. Conventional techniques to solve discrete optimization…

Disordered Systems and Neural Networks · Physics 2025-04-29 Dairong Chen , Andrew D. Kent , Dries Sels , Flaviano Morone

Accurate modeling of nonlinear vehicle dynamics is essential for high-speed autonomous racing, where controllers operate at the handling limits. Model-based methods are interpretable but rely on simplifying assumptions, while purely learned…

Linear temporal logic and automaton-based run-time verification provide a powerful framework for designing task and motion planning algorithms for autonomous agents. The drawback to this approach is the computational cost of operating on…

Artificial Intelligence · Computer Science 2018-11-05 Brian Paden , Peng Liu , Schuyler Cullen

Autonomous racing is becoming popular for academic and industry researchers as a test for general autonomous driving by pushing perception, planning, and control algorithms to their limits. While traditional control methods such as MPC are…

Robotics · Computer Science 2023-07-07 Edoardo Ghignone , Nicolas Baumann , Mike Boss , Michele Magno

We present an algorithm that, given a representation of a road network in lane-level detail, computes a route that minimizes the expected cost to reach a given destination. In doing so, our algorithm allows us to solve for the complex…

Robotics · Computer Science 2023-07-14 Mitchell Jones , Maximilian Haas-Heger , Jur van den Berg

Increasing attention to autonomous passenger vehicles has also attracted interest in an autonomous racing series. Because of this, platforms such as Roborace and the Indy Autonomous Challenge are currently evolving. Electric racecars face…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Thomas Herrmann , Francesco Passigato , Johannes Betz , Markus Lienkamp

This paper addresses the time-optimal control problem for a class of control systems which includes controlled mechanical systems with possible dissipation terms. The Lie algebras associated with such mechanical systems enjoy certain…

Optimization and Control · Mathematics 2007-05-23 M. Chyba , N. E. Leonard , E. D. Sontag

Indirect trajectory optimization methods such as Differential Dynamic Programming (DDP) have found considerable success when only planning under dynamic feasibility constraints. Meanwhile, nonlinear programming (NLP) has been the…

Optimization and Control · Mathematics 2022-05-06 Sumeet Singh , Jean-Jacques Slotine , Vikas Sindhwani

In automotive engineering, designing for optimal vehicle dynamics is challenging due to the complexities involved in analysing the behaviour of a multibody system. Typically, a simplified set of dynamics equations for only the key bodies of…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Hyunmin Cheong , Mehran Ebrahimi , Hesam Salehipour , Adrian Butscher , Alex Tessier

Lane changing dynamics are an important part of traffic microsimulation and are vital for modeling weaving sections and merge bottlenecks. However, there is often much more emphasis placed on car following and gap acceptance models, whereas…

Systems and Control · Computer Science 2023-08-01 Ronan Keane , H. Oliver Gao

In this paper, we address the problem of time-optimal coordination of mobile robots under kinodynamic constraints along specified paths. We propose a novel approach based on time discretization that leads to a mixed-integer linear…

Robotics · Computer Science 2017-04-06 Florent Altché , Xiangjun Qian , Arnaud de La Fortelle

In this paper, we develop a computationally-efficient approach to minimum-time trajectory optimization using input-output data-based models, to produce an end-to-end data-to-control solution to time-optimal planning/control of dynamic…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Nan Li , Ehsan Taheri , Ilya Kolmanovsky , Dimitar Filev

In order to develop provably safe human-in-the-loop systems, accurate and precise models of human behavior must be developed. In the case of intelligent vehicles, one can imagine the need for predicting driver behavior to develop minimally…

Systems and Control · Computer Science 2017-05-03 Katherine Driggs-Campbell , Roy Dong , S. Shankar Sastry , Ruzena Bajcsy

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…

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