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Data-driven Model Predictive Control (MPC), where the system model is learned from data with machine learning, has recently gained increasing interests in the control community. Gaussian Processes (GP), as a type of statistical models, are…

系统与控制 · 计算机科学 2019-10-03 Truong X. Nghiem

This article addresses the output regulation problem for a class of nonlinear systems using a data-driven approach. An output feedback controller is proposed that integrates a traditional control component with a data-driven learning…

系统与控制 · 电气工程与系统科学 2025-06-12 Telema Harry , Martin Guay , Shimin Wang , Richard D. Braatz

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

系统与控制 · 计算机科学 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

We introduce a novel algorithm for controlling linear time invariant systems in a tracking problem. The controller is based on a Gaussian Process (GP) whose realizations satisfy a system of linear ordinary differential equations with…

最优化与控制 · 数学 2025-08-01 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

Nonlinear model predictive control (NMPC) is one of the few control methods that can handle multivariable nonlinear controlsystems with constraints. Gaussian processes (GPs) present a powerful tool to identify the required plant model and…

最优化与控制 · 数学 2020-05-26 E. Bradford , L. Imsland , D. Zhang , E. A. del Rio-Chanona

Nonlinear model predictive control (NMPC) is an efficient approach for the control of nonlinear multivariable dynamic systems with constraints, which however requires an accurate plant model. Plant models can often be determined from first…

系统与控制 · 电气工程与系统科学 2021-08-17 E. Bradford , L. Imsland , M. Reble , E. A. del Rio-Chanona

This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees using semidefinite programming and for nonlinear systems for which no mathematical models but measured…

最优化与控制 · 数学 2023-11-06 Tim Martin , Thomas B. Schön , Frank Allgöwer

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…

机器学习 · 计算机科学 2026-04-16 Jan-Hendrik Ewering , Robin E. Herrmann , Niklas Wahlström , Thomas B. Schön , Thomas Seel

Recently, a novel linear model predictive control algorithm based on a physics-informed Gaussian Process has been introduced, whose realizations strictly follow a system of underlying linear ordinary differential equations with constant…

最优化与控制 · 数学 2025-05-01 Adrian Lepp , Jörn Tebbe , Andreas Besginow

Only a subset of degrees of freedom are typically accessible or measurable in real-world systems. As a consequence, the proper setting for empirical modeling is that of partially-observed systems. Notably, data-driven models consistently…

统计力学 · 物理学 2023-04-18 Adam Rupe , Velimir V. Vesselinov , James P. Crutchfield

Gaussian processes (GPs) are Bayesian nonparametric generative models that provide interpretability of hyperparameters, admit closed-form expressions for training and inference, and are able to accurately represent uncertainty. To model…

机器学习 · 统计学 2018-03-21 Gonzalo Rios , Felipe Tobar

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

系统与控制 · 计算机科学 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

Port-Hamiltonian theory is an established way to describe nonlinear physical systems widely used in various fields such as robotics, energy management, and mechanical engineering. This has led to considerable research interest in the…

系统与控制 · 电气工程与系统科学 2023-09-12 Thomas Beckers

The Model Predictive Control (MPC) trajectory tracking problem of an unmanned quadrotor with input and output constraints is addressed. In this article, the dynamic models of the quadrotor are obtained purely from operational data in the…

系统与控制 · 计算机科学 2017-07-17 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Data-driven paradigms are well-known and salient demands of future wireless communication. Empowered by big data and machine learning, next-generation data-driven communication systems will be intelligent with the characteristics of…

机器学习 · 计算机科学 2021-06-01 Kai Chen , Qinglei Kong , Yijue Dai , Yue Xu , Feng Yin , Lexi Xu , Shuguang Cui

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

In this paper we introduce deep Gaussian process (GP) models. Deep GPs are a deep belief network based on Gaussian process mappings. The data is modeled as the output of a multivariate GP. The inputs to that Gaussian process are then…

机器学习 · 统计学 2013-03-26 Andreas C. Damianou , Neil D. Lawrence

Gaussian process (GP) priors are non-parametric generative models with appealing modelling properties for Bayesian inference: they can model non-linear relationships through noisy observations, have closed-form expressions for training and…

机器学习 · 统计学 2020-01-31 Gonzalo Rios

Sparked by the Willems' fundamental lemma, a class of data-driven control methods has been developed for LTI systems. At the same time, the Koopman operator theory attempts to cast a nonlinear control problem into a standard linear one…

系统与控制 · 电气工程与系统科学 2021-03-02 Yingzhao Lian , Renzi Wang , Colin N. Jones

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

机器人学 · 计算机科学 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason
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