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The Linear Parameter-Varying (LPV) framework provides a modeling and control design toolchain to address nonlinear (NL) system behavior via linear surrogate models. Despite major research effort on LPV data-driven modeling, a key…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Chris Verhoek , Gerben I. Beintema , Sofie Haesaert , Maarten Schoukens , Roland Tó th

In several model-based system maintenance problems, parameters are used to represent unknown characteristics of a component, equipment degradation, etc. This allows for modelling constant, slow-varying terms. The identifiability of these…

Optimization and Control · Mathematics 2020-03-24 Krishnan Srinivasarengan , José Ragot , Christophe Aubrun , Didier Maquin

This paper presents a learning- and scenario-based model predictive control (MPC) design approach for systems modeled in linear parameter-varying (LPV) framework. Using input-output data collected from the system, a state-space LPV model…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Yajie Bao , Hossam S. Abbas , Javad Mohammadpour Velni

This paper presents two direct parameterizations of stable and robust linear parameter-varying state-space (LPV-SS) models. The model parametrizations guarantee a priori that for all parameter values during training, the allowed models are…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Chris Verhoek , Ruigang Wang , Roland Tóth

In this paper, automated generation of linear parameter-varying (LPV) state-space models to embed the dynamical behavior of nonlinear systems is considered, focusing on the trade-off between scheduling complexity and model accuracy and on…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Arash Sadeghzadeh , Bardia Sharif , Roland Toth

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

Applications · Statistics 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

The Linear Parameter-Varying (LPV) framework has long been used to guarantee performance and stability requirements of nonlinear (NL) systems mainly through the $\mathcal{L}_2$-gain concept. However, recent research has pointed out that…

Systems and Control · Electrical Eng. & Systems 2020-05-14 P. J. W. Koelewijn , R. Tóth , H. Nijmeijer

The Linear Parameter-Varying (LPV) framework is a powerful tool for controlling nonlinear and complex systems, but the conversion of nonlinear models into LPV forms often results in high-dimensional and overly conservative LPV models. To be…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Bogoljub Terzin , E. Javier Olucha , Amritam Das , Siep Weiland , Roland Tóth

In this paper an identification method for state-space LPV models is presented. The method is based on a particular parameterization that can be written in linear regression form and enables model estimation to be handled using…

Optimization and Control · Mathematics 2018-03-28 R. A. Romano , P. Lopes dos Santos , Felipe Pait , T-P Perdicoúlis , José A. Ramos

In controlling systems with large operating envelopes, it is often necessary to adjust the desired dynamics according to operating conditions. This paper presents a robust adaptive control architecture for linear parameter-varying (LPV)…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Pan Zhao , Steven Snyder , Naira Hovakimyana , Chengyu Cao

This paper introduces a systematic approach to synthesize linear parameter-varying (LPV) representations of nonlinear (NL) systems which are described by input affine state-space (SS) representations. The conversion approach results in…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Hossam S. Abbas , Roland Tóth , Mihály Petreczky , Nader Meskin , Javad Mohammadpour Velni , Patrick J. W. Koelewijn

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson

A promising step from linear towards nonlinear data-driven control is via the design of controllers for linear parameter-varying (LPV) systems, which are linear systems whose parameters are varying along a measurable scheduling signal.…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Jaap Eising , Florian Dörfler , Roland Tóth

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

Model correction is essential for reliable PDE learning when the governing physics is misspecified due to simplified assumptions or limited observations. In the machine learning literature, existing correction methods typically operate in…

Numerical Analysis · Mathematics 2026-03-27 Wenwen Zhou , Xiaodong Feng , Ling Guo , Hao Wu

In this paper, a systematic approach is developed to embed the dynamical description of a nonlinear system into a linear parameter-varying (LPV) system representation. Initially, the nonlinear functions in the model representation are…

Systems and Control · Electrical Eng. & Systems 2020-11-09 Arash Sadeghzadeh , Roland Toth

Accurate modeling of nonlinear systems is essential for reliable control, yet conventional identification methods often struggle to capture latent dynamics while maintaining stability. We propose a \textit{stable-by-design LPV neural…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Ahmet Eren Sertbaş , Tufan Kumbasar

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

This paper aims to enhance the efficiency of validation and verification campaigns involving fuel sloshing phenomena. Our first contribution is the development of an open-source, high-fidelity and computationally efficient two-dimensional…

Systems and Control · Electrical Eng. & Systems 2026-04-15 E. Javier Olucha , Valentin Preda , Amritam Das , Roland Tóth

Surrogate Neural Networks are nowadays routinely used in industry as substitutes for computationally demanding engineering simulations (e.g., in structural analysis). They allow to generate faster predictions and thus analyses in industrial…

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