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We present a Gaussian Process - Latent Class Choice Model (GP-LCCM) to integrate a non-parametric class of probabilistic machine learning within discrete choice models (DCMs). Gaussian Processes (GPs) are kernel-based algorithms that…

Econometrics · Economics 2023-08-02 Georges Sfeir , Filipe Rodrigues , Maya Abou-Zeid

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

We compute probabilistic controlled invariant sets for nonlinear systems using Gaussian process state space models, which are data-driven models that account for unmodeled and unknown nonlinear dynamics. We propose a semidefinite…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Paul Griffioen , Bingzhuo Zhong , Murat Arcak , Majid Zamani , Marco Caccamo

Nonlinear Model Predictive Control (NMPC) is widely used for controlling high-speed robotic systems such as quadrotors. However, its significant computational demands often hinder real-time feasibility and reliability, particularly in…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Saber Omidi

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

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…

Optimization and Control · Mathematics 2015-06-17 Jiangjiang Zhang , Weixuan Li

In this work, we exploit an offline-sampling based strategy for the constrained data-driven predictive control of an unknown linear system subject to random measurement noise. The strategy uses only past measured, potentially noisy data in…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Kerz , Tim Brüdigam , Dirk Wollherr , Marion Leibold

We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented as an affine combination of basis functions with unknown parameters, and is subject…

Optimization and Control · Mathematics 2026-03-06 Johannes Buerger , Mark Cannon

In this paper, we propose an online learning-based predictive control (LPC) approach designed for nonlinear systems that lack explicit system dynamics. Unlike traditional model predictive control (MPC) algorithms that rely on known system…

Optimization and Control · Mathematics 2025-03-17 Yuanqing Zhang , Huanshui Zhang

Control of non-condensing non-ideal-gas power cycles is challenging because their output power dynamics depend on complex system interactions, non-ideal-gas effects complicate turbomachinery behavior, and state constraints must be…

Systems and Control · Electrical Eng. & Systems 2021-08-30 Viv Bone , Michael Kearney , Ingo Jahn

Nonlinear model predictive control has become a popular approach to deal with highly nonlinear and unsteady state systems, the performance of which can however deteriorate due to unaccounted uncertainties. Model predictive control is…

Optimization and Control · Mathematics 2021-03-02 Eric Bradford , Lars Imsland

The modeling and simulation of dynamical systems is a necessary step for many control approaches. Using classical, parameter-based techniques for modeling of modern systems, e.g., soft robotics or human-robot interaction, is often…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Thomas Beckers , Sandra Hirche

This paper proposes a Nonlinear Model-Predictive Control (NMPC) method capable of finding and converging to energy-efficient regular oscillations, which require no control action to be sustained. The approach builds up on the recently…

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…

Systems and Control · Electrical Eng. & Systems 2025-06-12 Telema Harry , Martin Guay , Shimin Wang , Richard D. Braatz

A stochastic model predictive control (SMPC) approach is presented for discrete-time linear systems with arbitrary time-invariant probabilistic uncertainties and additive Gaussian process noise. Closed-loop stability of the SMPC approach is…

Systems and Control · Computer Science 2015-03-17 Joel A. Paulson , Stefan Streif , Ali Mesbah

Gaussian Process (GP) regression is a flexible non-parametric approach to approximate complex models. In many cases, these models correspond to processes with bounded physical properties. Standard GP regression typically results in a proxy…

Machine Learning · Computer Science 2020-04-10 Andrew Pensoneault , Xiu Yang , Xueyu Zhu

Gaussian processes (GPs) are widely used as surrogate models for complicated functions in scientific and engineering applications. In many cases, prior knowledge about the function to be approximated, such as monotonicity, is available and…

Machine Learning · Statistics 2025-07-10 Chao Zhang , Jasper M. Everink , Jakob Sauer Jørgensen

We propose a new method for automatically detecting monotonic input-output relationships from data using Gaussian Process (GP) models with virtual derivative observations. Our results on synthetic and real datasets show that the proposed…

Methodology · Statistics 2016-10-19 Eero Siivola , Juho Piironen , Aki Vehtari

This paper presents an adaptive online learning framework for systems with uncertain parameters to ensure safety-critical control in non-stationary environments. Our approach consists of two phases. The initial phase is centered on a novel…

Machine Learning · Computer Science 2024-03-06 Yu Zhang , Long Wen , Xiangtong Yao , Zhenshan Bing , Linghuan Kong , Wei He , Alois Knoll

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger
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