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Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in…

最优化与控制 · 数学 2015-09-10 Andrew Knyazev , Yuta Fujii , Alexander Malyshev

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

系统与控制 · 电气工程与系统科学 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

Ranging from cart-pole systems and autonomous bicycles to bipedal robots, control of these underactuated balance robots aims to achieve both external (actuated) subsystem trajectory tracking and internal (unactuated) subsystem balancing…

机器人学 · 计算机科学 2020-10-30 Kuo Chen , Jingang Yi , Dezhen Song

Gaussian Process (GPs) models are a rich distribution over functions with inductive biases controlled by a kernel function. Learning occurs through the optimisation of kernel hyperparameters using the marginal likelihood as the objective.…

机器学习 · 统计学 2021-11-22 Fergus Simpson , Vidhi Lalchand , Carl Edward Rasmussen

Even though Nearest Neighbor Gaussian Processes (NNGP) alleviate considerably MCMC implementation of Bayesian space-time models, they do not solve the convergence problems caused by high model dimension. Frugal alternatives such as response…

统计计算 · 统计学 2021-09-15 Sébastien Coube-Sisqueille , Benoît Liquet

Autonomous racing creates challenging control problems, but Model Predictive Control (MPC) has made promising steps toward solving both the minimum lap-time problem and head-to-head racing. Yet, accurate models of the system are necessary…

系统与控制 · 电气工程与系统科学 2023-11-06 Tommaso Benciolini , Chen Tang , Marion Leibold , Catherine Weaver , Masayoshi Tomizuka , Wei Zhan

Gaussian processes (GPs) are ubiquitously used in sciences and engineering as metamodels. Standard GPs, however, can only handle numerical or quantitative variables. In this paper, we introduce latent map Gaussian processes (LMGPs) that…

机器学习 · 统计学 2021-10-13 Nicholas Oune , Ramin Bostanabad

Gaussian process (GP) regression is a powerful probabilistic modeling technique with built-in uncertainty quantification. When one has access to multiple correlated simulations (tasks), it is common to fit a multitask GP (MTGP) surrogate…

统计计算 · 统计学 2026-03-18 Aleksei G. Sorokin , Pieterjan Robbe , Fred J. Hickernell

Model Predictive Control (MPC) is widely used in robot control by optimizing a sequence of control outputs over a finite-horizon. Computational approaches for MPC include deterministic methods (e.g., iLQR and COBYLA), as well as…

机器人学 · 计算机科学 2025-11-03 Zhaoxin Li , Xiaoke Wang , Letian Chen , Rohan Paleja , Subramanya Nageshrao , Matthew Gombolay

Designing controllers under uncertainty requires balancing the need to explore system dynamics with the requirement to maintain reliable control performance. Dual control addresses this challenge by selecting actions that both regulate the…

最优化与控制 · 数学 2025-12-18 Mohammad Mahmoudi Filabadi , Guillaume Crevecoeur , Tom Lefebvre

Safety is a critical issue in learning-based robotic and autonomous systems as learned information about their environments is often unreliable and inaccurate. In this paper, we propose a risk-aware motion control tool that is robust…

机器人学 · 计算机科学 2020-03-06 Astghik Hakobyan , Insoon Yang

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

This paper presents an off-policy Gaussian Predictive Control (GPC) framework aimed at solving optimal control problems with a smaller computational footprint, thereby facilitating real-time applicability while ensuring critical safety…

机器人学 · 计算机科学 2026-03-19 Shiva Kumar Tekumatla , Varun Gampa , Siavash Farzan

Gaussian processes (GPs) are frequently used in machine learning and statistics to construct powerful models. However, when employing GPs in practice, important considerations must be made, regarding the high computational burden,…

统计计算 · 统计学 2021-03-08 Karla Monterrubio-Gómez , Sara Wade

The proliferation of capable and efficient machine learning (ML) models marks one of the strongest methodological shifts in signal processing (SP) in its nearly 100-year history. ML models support the development of SP systems that…

信号处理 · 电气工程与系统科学 2026-05-01 Daniel Waxman , Fernando Llorente , Petar M. Djurić

Multi-task regression attempts to exploit the task similarity in order to achieve knowledge transfer across related tasks for performance improvement. The application of Gaussian process (GP) in this scenario yields the non-parametric yet…

机器学习 · 统计学 2021-09-21 Haitao Liu , Jiaqi Ding , Xinyu Xie , Xiaomo Jiang , Yusong Zhao , Xiaofang Wang

Gaussian processes (GPs), or distributions over arbitrary functions in a continuous domain, can be generalized to the multi-output case: a linear model of coregionalization (LMC) is one approach. LMCs estimate and exploit correlations…

机器学习 · 统计学 2017-10-24 Vladimir Feinberg , Li-Fang Cheng , Kai Li , Barbara E Engelhardt

Solving hydrologic inverse problems usually requires repetitive forward simulations. One approach to mitigate the computational cost is to build a surrogate model, i.e., an approximate mapping from model parameters (input) to observable…

最优化与控制 · 数学 2015-06-17 Jiangjiang Zhang , Weixuan Li

This paper presents a computationally efficient approach for Gaussian process model predictive control (GP-MPC), where Gaussian process (GP) regression is used to complement a baseline model of the system dynamics. The proposed method…

最优化与控制 · 数学 2026-05-12 Giannis Badakis , Mircea Lazar , Roland Toth

Learning-based control methods utilize run-time data from the underlying process to improve the controller performance under model mismatch and unmodeled disturbances. This is beneficial for optimizing industrial processes, where the…

系统与控制 · 电气工程与系统科学 2021-11-22 Efe C. Balta , Kira Barton , Dawn M. Tilbury , Alisa Rupenyan , John Lygeros