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Sampling-based model predictive control (MPC) has found significant success in optimal control problems with non-smooth system dynamics and cost function. Many machine learning-based works proposed to improve MPC by a) learning or…

机器学习 · 计算机科学 2024-01-08 Sungwook Yang , Chaoying Pei , Ran Dai , Chuangchuang Sun

Modern neural networks have proven to be powerful function approximators, providing state-of-the-art performance in a multitude of applications. They however fall short in their ability to quantify confidence in their predictions - this is…

机器学习 · 统计学 2020-06-29 Alex J. Chan , Ahmed M. Alaa , Zhaozhi Qian , Mihaela van der Schaar

Bayesian model comparison (BMC) offers a principled probabilistic approach to study and rank competing models. In standard BMC, we construct a discrete probability distribution over the set of possible models, conditional on the observed…

机器学习 · 统计学 2023-02-22 Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner

Approximating model predictive control (MPC) policy using expert-based supervised learning techniques requires labeled training data sets sampled from the MPC policy. This is typically obtained by sampling the feasible state-space and…

最优化与控制 · 数学 2022-03-16 Dinesh Krishnamoorthy

We propose a novel Stochastic Model Predictive Control (MPC) for uncertain linear systems subject to probabilistic constraints. The proposed approach leverages offline learning to extract key features of affine disturbance feedback…

系统与控制 · 电气工程与系统科学 2024-11-22 Hotae Lee , Francesco Borrelli

Uncertainty estimation is pivotal in machine learning, especially for classification tasks, as it improves the robustness and reliability of models. We introduce a novel `Epistemic Wrapping' methodology aimed at improving uncertainty…

This paper proposes a novel robust Model Predictive Control (MPC) scheme for linear discrete-time systems affected by model uncertainty described by interval matrices. The key feature of the proposed method is a bound on the uncertainty…

系统与控制 · 电气工程与系统科学 2026-02-20 Renato Quartullo , Andrea Garulli , Mirko Leomanni

Model predictive control (MPC) has been used widely in power electronics due to its simple concept, fast dynamic response, and good reference tracking. However, it suffers from parametric uncertainties, since it directly relies on the…

系统与控制 · 电气工程与系统科学 2022-06-29 Abualkasim Bakeer , Ihab S. Mohamed , Parisa Boodaghi Malidarreh , Intissar Hattabi , Lantao Liu

We propose a robust adaptive Model Predictive Control (MPC) strategy with online set-based estimation for constrained linear systems with unknown parameters and bounded disturbances. A sample-based test applied to predicted trajectories is…

最优化与控制 · 数学 2023-03-09 Xiaonan Lu , Mark Cannon

Neural networks are a commonly used approach to replace physical models with computationally cheap surrogates. Parametric uncertainty quantification can be included in training, assuming that an accurate prior distribution of the model…

机器学习 · 计算机科学 2026-03-12 Heikki Haario , Zhi-Song Liu , Martin Simon , Hendrik Weichel

The accuracy of the underlying model predictions is crucial for the success of model predictive control (MPC) applications. If the model is unable to accurately analyze the dynamics of the controlled system, the performance and stability…

机器学习 · 计算机科学 2024-04-16 Qi Zhang , Lei Wang , Weihua Xu , Hongye Su , Lei Xie

This paper presents a model predictive control (MPC) for dynamic systems whose nonlinearity and uncertainty are modelled by deep neural networks (NNs), under input and state constraints. Since the NN output contains a high-order complex…

系统与控制 · 电气工程与系统科学 2024-05-20 Jianglin Lan

Driven by the flexible manufacturing trend in the process control industry and the uncertain nature of chemical process models, this article aims to achieve offset-free tracking for a family of uncertain nonlinear systems (e.g., using…

系统与控制 · 电气工程与系统科学 2022-05-10 Lai Wei , Ryan McCloy , Jie Bao

In this paper the application of uncertainty modeling to convolutional neural networks is evaluated. A novel method for adjusting the network's predictions based on uncertainty information is introduced. This allows the network to be either…

计算机视觉与模式识别 · 计算机科学 2016-12-23 Rene Grzeszick , Sebastian Sudholt , Gernot A. Fink

Controller design faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many practitioners to focus on the former. However, there is renewed interest in improving system performance to…

最优化与控制 · 数学 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

Model Predictive Control (MPC) is an enabling technology in applications requiring controlling physical processes in an optimized way under constraints on inputs and outputs. However, in MPC closed-loop performance is pushed to the limits…

最优化与控制 · 数学 2019-05-06 Dario Piga , Marco Forgione , Simone Formentin , Alberto Bemporad

Nonlinear model predictive control (NMPC) has gained widespread use in many applications. Its formulation traditionally involves repetitively solving a nonlinear constrained optimization problem online. In this paper, we investigate NMPC…

系统与控制 · 电气工程与系统科学 2022-05-11 Iman Askari , Shen Zeng , Huazhen Fang

We present a robust adaptive model predictive control (MPC) framework for nonlinear continuous-time systems with bounded parametric uncertainty and additive disturbance. We utilize general control contraction metrics (CCMs) to parameterize…

系统与控制 · 电气工程与系统科学 2023-07-12 András Sasfi , Melanie N. Zeilinger , Johannes Köhler

As control engineering methods are applied to increasingly complex systems, data-driven approaches for system identification appear as a promising alternative to physics-based modeling. While the Bayesian approaches prevalent for…

系统与控制 · 电气工程与系统科学 2024-08-07 Robert Lefringhausen , Supitsana Srithasan , Armin Lederer , Sandra Hirche

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

系统与控制 · 计算机科学 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer