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The goal of this thesis is to design a learning model predictive controller (LMPC) that allows multiple agents to race competitively on a predefined race track in real-time. This thesis addresses two major shortcomings in the already…

Machine Learning · Computer Science 2020-05-05 Lukas Brunke

We suppose that performance is a random variable whose expectation is related to training inputs, and we study four performance measures in a statistical model that relates performance to training. Our aim is to carry out a robust…

Applications · Statistics 2019-02-07 Phil Scarf , Mansour Shrahili , Naif Alotaibi , Simon Jobson , Louis Passfield

The optimal control of a mechanical system is of crucial importance in many realms. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion…

Optimization and Control · Mathematics 2008-10-09 S. Ober-Bloebaum , O. Junge , J. E. Marsden

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

Systems and Control · Computer Science 2016-02-03 Sadra Sadraddini , Calin Belta

This paper proposes a set of technological solutions to transform existing transport systems into more intelligent, interactive systems by utilizing optimization and control methods that can be implemented in the near future. This will…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Yi Zhang

This paper presents models and optimization methods to rapidly compute the achievable lap time of a race car equipped with a battery electric powertrain. Specifically, we first derive a quasi-convex model of the electric powertrain,…

Systems and Control · Electrical Eng. & Systems 2020-05-18 Olaf Borsboom , Chyannie A. Fahdzyana , Mauro Salazar , Theo Hofman

An analysis of marathon pacing and elevation change is presented. It is based on an empirical observation of how the pace of elite and non-elite marathon runners change over the course of the marathon and a simple approximation of the…

Popular Physics · Physics 2012-10-03 J. B. Elliott

The steady development of motor vehicle technology will enable cars of the near future to assume an ever increasing role in the decision making and control of the vehicle itself. In the foreseeable future, cars will have the ability to…

Computational Geometry · Computer Science 2015-05-06 Philip Dasler , David M. Mount

For successful goal-directed human-robot interaction, the robot should adapt to the intentions and actions of the collaborating human. This can be supported by musculoskeletal or data-driven human models, where the former are limited to…

Robotics · Computer Science 2026-02-17 Kevin Haninger , Luka Peternel

Model predictive control (MPC) is a powerful, optimization-based approach for controlling dynamical systems. However, the computational complexity of online optimization can be problematic on embedded devices. Especially, when we need to…

This paper presents a modeling and optimization framework to compute the minimum-lap-time spatial trajectory and powertrain operation of racing cars in a computationally efficient fashion. Specifically, we first derive a quasi-steady-state…

Optimization and Control · Mathematics 2026-04-15 Erik van den Eshof , Wytze de Vries , Jorn van Kampen , Mauro Salazar

This paper presents a longitudinal slip control system for a rear-wheel-driven electric endurance race car. The control system integrates Model Predictive Control (MPC) with Extremum Seeking Control (ESC) to optimize the traction and…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Wytze de Vries , Jorn van Kampen , Mauro Salazar

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

This paper presents a sharp approximation of the density of long runs of a random walk conditioned on its end value or by an average of a functions of its summands as their number tends to infinity. The conditioning event is of moderate or…

Probability · Mathematics 2011-06-14 Michel Broniatowski , Virgile Caron

Parameter control aims at realizing performance gains through a dynamic choice of the parameters which determine the behavior of the underlying optimization algorithm. In the context of evolutionary algorithms this research line has for a…

Neural and Evolutionary Computing · Computer Science 2020-11-10 Benjamin Doerr , Carola Doerr

In this paper, we propose a new model predictive control (MPC) formulation for autonomous driving. The novelty of our MPC stems from the following results. Firstly, we adopt an alternating minimization approach wherein linear velocities and…

Probabilistic control design is founded on the principle that a rational agent attempts to match modelled with an arbitrary desired closed-loop system trajectory density. The framework was originally proposed as a tractable alternative to…

Machine Learning · Computer Science 2023-11-16 Tom Lefebvre

Fast feedback control and safety guarantees are essential in modern robotics. We present an approach that achieves both by combining novel robust model predictive control (MPC) with function approximation via (deep) neural networks (NNs).…

Robotics · Computer Science 2020-03-04 Julian Nubert , Johannes Köhler , Vincent Berenz , Frank Allgöwer , Sebastian Trimpe

The turnpike principle is a fundamental concept in optimal control theory, stating that for a wide class of long-horizon optimal control problems, the optimal trajectory spends most of its time near a steady-state solution (the…

Optimization and Control · Mathematics 2025-03-27 Emmanuel Trélat , Enrique Zuazua

This paper presents an adaptive lookahead pure-pursuit lateral controller for optimizing racing metrics such as lap time, average lap speed, and deviation from a reference trajectory in an autonomous racing scenario. We propose a greedy…

Robotics · Computer Science 2021-11-18 Varundev Sukhil , Madhur Behl
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