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Complex and nonlinear dynamical systems often involve parameters that change with time, accurate tracking of which is essential to tasks such as state estimation, prediction, and control. Existing machine-learning methods require full state…

Machine Learning · Computer Science 2023-11-16 Zheng-Meng Zhai , Mohammadamin Moradi , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Linearising the dynamics of nonlinear mechanical systems is an important and open research area. A common approach is feedback linearisation, which is a nonlinear control method that transforms the input-output response of a nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Merijn Floren , Koen Classens , Tom Oomen , Jean-Philippe Noël

In this effort we propose a data-driven learning framework for reduced order modeling of fluid dynamics. Designing accurate and efficient reduced order models for nonlinear fluid dynamic problems is challenging for many practical…

Computational Physics · Physics 2018-12-05 Xuping Xie , Guannan Zhang , Clayton G. Webster

The suspension system is a crucial part of the automotive chassis, improving vehicle ride comfort and isolating passengers from rough road excitation. Unlike passive suspension, which has constant spring and damping coefficients, active…

Robotics · Computer Science 2024-08-19 Anh N. Nhu , Ngoc-Anh Le , Shihang Li , Thang D. V. Truong

Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that reduces complexity and facilitates exploration of behavioral…

Metal additive manufacturing enables unprecedented design freedom and the production of customized, complex components. However, the rapid melting and solidification dynamics inherent to metal AM processes generate heterogeneous,…

Machine Learning · Computer Science 2025-05-05 D. Patel , R. Sharma , Y. B. Guo

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

Computational Engineering, Finance, and Science · Computer Science 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai

The control for aggressive driving of autonomous cars is challenging due to the presence of significant tyre slip. Data-driven and mechanism-based methods for the modeling and control of autonomous cars under aggressive driving conditions…

Robotics · Computer Science 2023-02-07 Yiwen Lu , Bo Yang , Yilin Mo

Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

Machine Learning · Computer Science 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

We present a physics-informed machine learning (PIML) scheme for the feedback linearization of nonlinear discrete-time dynamical systems. The PIML finds the nonlinear transformation law, thus ensuring stability via pole placement, in one…

We introduce a data-driven method for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data. This is particularly relevant in system identification tasks where…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Martine Dyring Hansen , Elena Celledoni , Benjamin Kwanen Tapley

Recent advances in learning-based control leverage deep function approximators, such as neural networks, to model the evolution of controlled dynamical systems over time. However, the problem of learning a dynamics model and a stabilizing…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Youngjae Min , Spencer M. Richards , Navid Azizan

In this paper, we present a data-driven controller design method for continuous-time nonlinear systems, using no model knowledge but only measured data affected by noise. While most existing approaches focus on systems with polynomial…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Robin Strässer , Julian Berberich , Frank Allgöwer

Many, if not most, systems of interest in science are naturally described as nonlinear dynamical systems. Empirically, we commonly access these systems through time series measurements. Often such time series may consist of discrete random…

Machine Learning · Computer Science 2024-06-10 Manuel Brenner , Florian Hess , Georgia Koppe , Daniel Durstewitz

Data-Driven Predictive Control (DPC) optimizes system behavior directly from measured trajectories without requiring an explicit model. However, its computational cost scales with dataset size, limiting real-time applicability to nonlinear…

Robotics · Computer Science 2025-11-18 Julius Beerwerth , Bassam Alrifaee

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2022-12-05 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

The rapid development of 3D object detection systems for self-driving cars has significantly improved accuracy. However, these systems struggle to generalize across diverse driving environments, which can lead to safety-critical failures in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Travis Zhang , Katie Luo , Cheng Perng Phoo , Yurong You , Wei-Lun Chao , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger

Motion trajectories offer reliable references for physics-based motion learning but suffer from sparsity, particularly in regions that lack sufficient data coverage. To address this challenge, we introduce a self-supervised, structured…

Machine Learning · Computer Science 2024-02-22 Chenhao Li , Elijah Stanger-Jones , Steve Heim , Sangbae Kim

While most ML models expect independent and identically distributed data, this assumption is often violated in real-world scenarios due to distribution shifts, resulting in the degradation of machine learning model performance. Until now,…

Machine Learning · Computer Science 2024-11-19 Kai Helli , David Schnurr , Noah Hollmann , Samuel Müller , Frank Hutter

Neural Networks (NNs) trained through supervised learning struggle with managing edge-case scenarios common in real-world driving due to the intractability of exhaustive datasets covering all edge-cases, making knowledge-driven approaches,…

Artificial Intelligence · Computer Science 2025-04-17 Nicolas Baumann , Cheng Hu , Paviththiren Sivasothilingam , Haotong Qin , Lei Xie , Michele Magno , Luca Benini