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Linear trajectory models provide mathematical advantages to autonomous driving applications such as motion prediction. However, linear models' expressive power and bias for real-world trajectories have not been thoroughly analyzed. We…

Machine Learning · Computer Science 2025-05-22 Yue Yao , Daniel Goehring , Joerg Reichardt

Using transformers over large generated datasets, we train models to learn mathematical properties of differential systems, such as local stability, behavior at infinity and controllability. We achieve near perfect prediction of qualitative…

Machine Learning · Computer Science 2021-03-22 François Charton , Amaury Hayat , Guillaume Lample

With the development of autonomous driving technology, there are increasing demands for vehicle control, and MPC has become a widely researched topic in both industry and academia. Existing MPC control methods based on vehicle kinematics or…

Systems and Control · Electrical Eng. & Systems 2024-07-19 Jiarui Zhang , Aijing Kong , Yu Tang , Zhichao Lv , Lulu Guo , Peng Hang

While trade-offs between modeling effort and model accuracy remain a major concern with system identification, resorting to data-driven methods often leads to a complete disregard for physical plausibility. To address this issue, we propose…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Oliver Schön , Ricarda-Samantha Götte , Julia Timmermann

Dynamical systems see widespread use in natural sciences like physics, biology, chemistry, as well as engineering disciplines such as circuit analysis, computational fluid dynamics, and control. For simple systems, the differential…

Machine learning has become increasingly popular for efficiently modelling the dynamics of complex physical systems, demonstrating a capability to learn effective models for dynamics which ignore redundant degrees of freedom. Learned…

Machine Learning · Computer Science 2022-11-29 Ameya Daigavane , Arthur Kosmala , Miles Cranmer , Tess Smidt , Shirley Ho

For autonomous driving or advanced driving assistance, it is key to monitor the vehicle dynamics behavior. Accurate models of this behavior include acceleration, but also the side-slip angle, that eventually results from the complex…

Robotics · Computer Science 2023-06-08 Agapius Bou Ghosn , Marcus Nolte , Philip Polack , Arnaud de La Fortelle

Learning accurate dynamics models is necessary for optimal, compliant control of robotic systems. Current approaches to white-box modeling using analytic parameterizations, or black-box modeling using neural networks, can suffer from high…

Robotics · Computer Science 2019-03-05 Jayesh K. Gupta , Kunal Menda , Zachary Manchester , Mykel J. Kochenderfer

This paper presents the comparison of two non-linear model-based control strategies for autonomous cars. A control oriented model of vehicle based on a bicycle model is used. The two control strategies use a model reference approach. Using…

Systems and Control · Computer Science 2017-10-11 Eugenio Alcalá , Laura Sellart , Vicenç Puig , Joseba Quevedo , Jordi Saludes , David Vázquez , Antonio López

With new advances in machine learning and in particular powerful learning libraries, we illustrate some of the new possibilities they enable in terms of nonlinear system identification. For a large class of hybrid systems, we explain how…

Optimization and Control · Mathematics 2019-12-02 Mattias Fält , Pontus Giselsson

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

A promising approach to autonomous driving is machine learning. In such systems, training datasets are created that capture the sensory input to a vehicle as well as the desired response. A disadvantage of using a learned navigation system…

Robotics · Computer Science 2016-06-28 Artem Provodin , Liila Torabi , Beat Flepp , Yann LeCun , Michael Sergio , L. D. Jackel , Urs Muller , Jure Zbontar

Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt…

Software Engineering · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Qixia Yuan , Jun Pang

Neural networks are known to be effective function approximators. Recently, deep neural networks have proven to be very effective in pattern recognition, classification tasks and human-level control to model highly nonlinear realworld…

Neural and Evolutionary Computing · Computer Science 2016-10-06 Olalekan Ogunmolu , Xuejun Gu , Steve Jiang , Nicholas Gans

The utility of machine learning in understanding the motor system is promising a revolution in how to collect, measure, and analyze data. The field of movement science already elegantly incorporates theory and engineering principles to…

Quantitative Methods · Quantitative Biology 2021-09-16 Sébastien B. Hausmann , Alessandro Marin Vargas , Alexander Mathis , Mackenzie W. Mathis

Signal processing traditionally relies on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and additional domain knowledge. Simple…

Signal Processing · Electrical Eng. & Systems 2023-06-08 Nir Shlezinger , Yonina C. Eldar

This work concerns the application of physics-informed neural networks to the modeling and control of complex robotic systems. Achieving this goal required extending Physics Informed Neural Networks to handle non-conservative effects. We…

Robotics · Computer Science 2023-07-07 Jingyue Liu , Pablo Borja , Cosimo Della Santina

Multiscale modeling of complex systems is crucial for understanding their intricacies. Data-driven multiscale modeling has emerged as a promising approach to tackle challenges associated with complex systems. On the other hand,…

Machine Learning · Computer Science 2024-03-26 Ruyi Tao , Ningning Tao , Yi-zhuang You , Jiang Zhang

Model-based methods are the dominant paradigm for controlling robotic systems, though their efficacy depends heavily on the accuracy of the model used. Deep neural networks have been used to learn models of robot dynamics from data, but…

Robotics · Computer Science 2020-04-23 Jayesh K. Gupta , Kunal Menda , Zachary Manchester , Mykel J. Kochenderfer

In this paper, we address the problem of system identification and control of a front-steered vehicle which abides by the Ackermann geometry constraints. This problem arises naturally for on-road and off-road vehicles that require reliable…

Robotics · Computer Science 2023-11-09 Burak M. Gonultas , Pratik Mukherjee , O. Goktug Poyrazoglu , Volkan Isler