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The paper addresses the problem of passivation of a class of nonlinear systems where the dynamics are unknown. For this purpose, we use the highly flexible, data-driven Gaussian process regression for the identification of the unknown…

Systems and Control · Computer Science 2018-11-19 Thomas Beckers , Sandra Hirche

Gaussian Process Regression (GPR) is an important type of supervised machine learning model with inherent uncertainty measure in its predictions. We propose a new framework, nuGPR, to address the well-known challenge of high computation…

Machine Learning · Computer Science 2025-10-15 Ziqi Zhao , Vivek Sarin

Physical systems can often be described via a continuous-time dynamical system. In practice, the true system is often unknown and has to be learned from measurement data. Since data is typically collected in discrete time, e.g. by sensors,…

Machine Learning · Computer Science 2024-01-31 Katharina Ensinger , Nicholas Tagliapietra , Sebastian Ziesche , Sebastian Trimpe

Economic model predictive control and tracking model predictive control are two popular advanced process control strategies used in various of fields. Nevertheless, which one should be chosen to achieve better performance in the presence of…

Systems and Control · Electrical Eng. & Systems 2022-01-07 Jiangbang Liu , Song Bo , Benjamin Decardi-Nelson , Jinfeng Liu , Jingtao Hu , Tao Zou

In this paper, we propose a derivative-free model learning framework for Reinforcement Learning (RL) algorithms based on Gaussian Process Regression (GPR). In many mechanical systems, only positions can be measured by the sensing…

Machine Learning · Computer Science 2020-02-26 Alberto Dalla Libera , Diego Romeres , Devesh K. Jha , Bill Yerazunis , Daniel Nikovski

This paper proposes a nonplanar model predictive control (MPC) framework for autonomous vehicles operating on nonplanar terrain. To approximate complex vehicle dynamics in such environments, we develop a geometry-aware modeling approach…

Robotics · Computer Science 2026-02-19 Ahmad Amine , Kabir Puri , Viet-Anh Le , Rahul Mangharam

Real-world datasets often exhibit temporal dynamics characterized by evolving data distributions. Disregarding this phenomenon, commonly referred to as concept drift, can significantly diminish a model's predictive accuracy. Furthermore,…

Machine Learning · Computer Science 2026-05-28 Mohammad Abu-Shaira , Ajita Rattani , Weishi Shi

Data-driven models of robot motion constructed using principles from Geometric Mechanics have been shown to produce useful predictions of robot motion for a variety of robots. For robots with a useful number of DoF, these geometric…

Robotics · Computer Science 2025-06-19 Ruizhen Hu , Shai Revzen

Learning time-series models is useful for many applications, such as simulation and forecasting. In this study, we consider the problem of actively learning time-series models while taking given safety constraints into account. For…

Machine Learning · Computer Science 2024-02-12 Christoph Zimmer , Mona Meister , Duy Nguyen-Tuong

Analysis of heterogeneous patterns in complex spatio-temporal data finds usage across various domains in applied science and engineering, including training autonomous vehicles to navigate in complex traffic scenarios. Motivated by…

Machine Learning · Statistics 2021-02-16 Sunrit Chakraborty , Aritra Guha , Rayleigh Lei , XuanLong Nguyen

In this paper, we applied a dynamic model for manoeuvring targets in SIR particle filter algorithm for improving tracking accuracy of multiple manoeuvring targets. In our proposed approach, a color distribution model is used to detect…

Computer Vision and Pattern Recognition · Computer Science 2014-04-14 Mohammad Javad Parseh , Saeid Pashazadeh

One of the key benefits of model predictive control is the capability of controlling a system proactively in the sense of taking the future system evolution into account. However, often external disturbances or references are not a priori…

Optimization and Control · Mathematics 2019-12-03 Janine Matschek , Tim Gonschorek , Magnus Hanses , Norbert Elkmann , Frank Ortmeier , Rolf Findeisen

Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

Numerical Analysis · Mathematics 2023-09-08 Sergei Manzhos , Manabu Ihara

The identification of the constrained dynamics of mechanical systems is often challenging. Learning methods promise to ease an analytical analysis, but require considerable amounts of data for training. We propose to combine insights from…

Machine Learning · Computer Science 2020-09-16 A. Rene Geist , Sebastian Trimpe

Kernel-based machine learning approaches are gaining increasing interest for exploring and modeling large dataset in recent years. Gaussian process (GP) is one example of such kernel-based approaches, which can provide very good performance…

Machine Learning · Computer Science 2019-07-09 Yuxin Zhao , Feng Yin , Fredrik Gunnarsson , Fredrik Hultkrantz

In this work, we present a learning-based nonlinear $H^\infty$ control algorithm that guarantee system performance under learned dynamics and disturbance estimate. The Gaussian Process (GP) regression is utilized to update the nominal…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Wei Sun , Theodore B. Trafalis

This work presents a methodology to design trajectory tracking feedback control laws, which embed non-parametric statistical models, such as Gaussian Processes (GPs). The aim is to minimize unmodeled dynamics such as undesired slippages.…

Robotics · Computer Science 2022-11-22 Luigi Freda , Mario Gianni , Fiora Pirri

Gaussian processes provide a compact representation for modeling and estimating an unknown function, that can be updated as new measurements of the function are obtained. This paper extends this powerful framework to the case where the…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Jilles van Hulst , Roy van Zuijlen , Duarte Antunes , W. P. M. H. , Heemels

The paper deals with the problem of output regulation of nonlinear systems by presenting a learning-based adaptive internal model-based design strategy. We borrow from the adaptive internal model design technique recently proposed in [1]…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Lorenzo Gentilini , Michelangelo Bin , Lorenzo Marconi

Embedding non-restrictive prior knowledge, such as energy conservation laws, into learning methods is a key motive to construct physically consistent dynamics models from limited data, relevant for, e.g., model-based control. Recent work…

Machine Learning · Computer Science 2026-04-16 Jan-Hendrik Ewering , Robin E. Herrmann , Niklas Wahlström , Thomas B. Schön , Thomas Seel