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Due to its state-of-the-art estimation performance complemented by rigorous and non-conservative uncertainty bounds, Gaussian process regression is a popular tool for enhancing dynamical system models and coping with their inaccuracies.…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Anna Scampicchio , Elena Arcari , Amon Lahr , Melanie N. Zeilinger

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

We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

Robotics · Computer Science 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

High performance tracking control can only be achieved if a good model of the dynamics is available. However, such a model is often difficult to obtain from first order physics only. In this paper, we develop a data-driven control law that…

Systems and Control · Computer Science 2018-11-20 Thomas Beckers , Jonas Umlauft , Dana Kulić , Sandra Hirche

Within the past two decades, Gaussian process regression has been increasingly used for modeling dynamical systems due to some beneficial properties such as the bias variance trade-off and the strong connection to Bayesian mathematics. As…

Systems and Control · Electrical Eng. & Systems 2021-02-11 Thomas Beckers

Despite the growing availability of sensing and data in general, we remain unable to fully characterise many in-service engineering systems and structures from a purely data-driven approach. The vast data and resources available to capture…

Machine Learning · Computer Science 2023-09-20 Elizabeth J Cross , Timothy J Rogers , Daniel J Pitchforth , Samuel J Gibson , Matthew R Jones

Model Predictive Control evolved as the state of the art paradigm for safety critical control tasks. Control-as-Inference approaches thereof model the constrained optimization problem as a probabilistic inference problem. The constraints…

Optimization and Control · Mathematics 2025-11-21 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

This manuscript offers the perspective of experimentalists on a number of modern data-driven techniques: model predictive control relying on Gaussian processes, adaptive data-driven control based on behavioral theory, and deep reinforcement…

Systems and Control · Electrical Eng. & Systems 2022-06-01 Loris Di Natale , Yingzhao Lian , Emilio T. Maddalena , Jicheng Shi , Colin N. Jones

Data-driven controls using Gaussian process regression have recently gained much attention. In such approaches, system identification by Gaussian process regression is mostly followed by model-based controller designs. However, the outcomes…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Hyuntae Kim , Hamin Chang , Hyungbo Shim

Learning-based techniques are increasingly effective at controlling complex systems using data-driven models. However, most work done so far has focused on learning individual tasks or control laws. Hence, it is still a largely unaddressed…

Systems and Control · Electrical Eng. & Systems 2020-05-08 Alexandre Capone , Armin Lederer , Jonas Umlauft , Sandra Hirche

For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test controllers. These experiments are used to improve the achieved…

Optimization and Control · Mathematics 2022-05-12 Tobias Holicki , Carsten W. Scherer , Sebastian Trimpe

Many control tasks can be formulated as a tracking problem of a known or unknown reference signal. Examples are movement compensation in collaborative robotics, the synchronisation of oscillations for power systems or reference tracking of…

Optimization and Control · Mathematics 2019-11-26 Janine Matschek , Andreas Himmel , Kai Sundmacher , Rolf Findeisen

We study the problem of causal discovery through targeted interventions. Starting from few observational measurements, we follow a Bayesian active learning approach to perform those experiments which, in expectation with respect to the…

Machine Learning · Statistics 2019-10-10 Julius von Kügelgen , Paul K Rubenstein , Bernhard Schölkopf , Adrian Weller

This paper investigates the design of self-triggered controllers for networked control systems (NCSs), where the dynamics of the plant is \textit{unknown} apriori. To deal with the unknown transition dynamics, we employ the Gaussian process…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Kazumune Hashimoto , Yuichi Yoshimura , Toshimitsu Ushio

Gaussian Process (GP) regression is shown to be effective for learning unknown dynamics, enabling efficient and safety-aware control strategies across diverse applications. However, existing GP-based model predictive control (GP-MPC)…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Manish Prajapat , Johannes Köhler , Amon Lahr , Andreas Krause , Melanie N. Zeilinger

Design of experiments is a fundamental topic in applied statistics with a long history. Yet its application is often limited by the complexity and costliness of constructing experimental designs, which involve searching a high-dimensional…

Methodology · Statistics 2022-03-29 Matthew T. Pratola , C. Devon Lin , Peter F. Craigmile

Data-driven models are subject to model errors due to limited and noisy training data. Key to the application of such models in safety-critical domains is the quantification of their model error. Gaussian processes provide such a measure…

Machine Learning · Computer Science 2024-09-23 Armin Lederer , Jonas Umlauft , Sandra Hirche

We propose a model predictive control approach for autonomous vehicles that exploits learned Gaussian processes for predicting human driving behavior. The proposed approach employs the uncertainty about the GP's prediction to achieve…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Johanna Bethge , Maik Pfefferkorn , Alexander Rose , Jan Peters , Rolf Findeisen

Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data…

Machine Learning · Statistics 2016-03-11 Panagiotis Tsilifis , Roger G. Ghanem , Paris Hajali

Autonomous learning has been a promising direction in control and robotics for more than a decade since data-driven learning allows to reduce the amount of engineering knowledge, which is otherwise required. However, autonomous…

Machine Learning · Statistics 2017-10-12 Marc Peter Deisenroth , Dieter Fox , Carl Edward Rasmussen
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