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Block-oriented nonlinear models are popular in nonlinear modeling because of their advantages to be quite simple to understand and easy to use. To increase the flexibility of single branch block-oriented models, such as Hammerstein, Wiener,…

Systems and Control · Computer Science 2017-08-23 Maarten Schoukens , Anna Marconato , Rik Pintelon , Gerd Vandersteen , Yves Rolain

Block-oriented nonlinear models are popular in nonlinear system identification because of their advantages of being simple to understand and easy to use. Many different identification approaches were developed over the years to estimate the…

Systems and Control · Computer Science 2018-01-10 Maarten Schoukens , Koen Tiels

Providing flexibility and user-interpretability in nonlinear system identification can be achieved by means of block-oriented methods. One of such block-oriented system structures is the parallel Wiener-Hammerstein system, which is a sum of…

Numerical Analysis · Computer Science 2016-09-27 Philippe Dreesen , David Westwick , Johan Schoukens , Mariya Ishteva

Balancing the model complexity and the representation capability towards the process to be captured remains one of the main challenges in nonlinear system identification. One possibility to reduce model complexity is to impose structure on…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Maarten Schoukens , Roland Toth

Problems of linear system identification have closed-form solutions, e.g., using least-squares or maximum-likelihood methods on input-output data. However, already the seemingly simplest problems of nonlinear system identification present…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Svantje Voit , Gerald Enzner

Linear parameter-varying (LPV) models form a powerful model class to analyze and control a (nonlinear) system of interest. Identifying a LPV model of a nonlinear system can be challenging due to the difficulty of selecting the scheduling…

Systems and Control · Computer Science 2020-05-11 Maarten Schoukens , Roland Tóth

Many nonlinear systems can be described by a Wiener-Schetzen model. In this model, the linear dynamics are formulated in terms of orthonormal basis functions (OBFs). The nonlinearity is modeled by a multivariate polynomial. In general, an…

Systems and Control · Computer Science 2016-12-15 Koen Tiels , Johan Schoukens

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

Dynamical Systems · Mathematics 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie

We propose a novel method of introducing structure into existing machine learning techniques by developing structure-based similarity and distance measures. To learn structural information, low-dimensional structure of the data is captured…

Machine Learning · Statistics 2011-10-27 Joseph Wang , Venkatesh Saligrama , David A. Castañón

A framework for identifying nonlinear port-Hamiltonian systems using input-state-output data is introduced. The framework utilizes neural networks' universal approximation capacity to effectively represent complex dynamics in a structured…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Karim Cherifi , Achraf El Messaoudi , Hannes Gernandt , Marco Roschkowski

In this paper, block-oriented systems with linear parts based on Laguerre functions is used to approximation of a cone crusher dynamics. Adaptive recursive least squares algorithm is used to identification of Laguerre model. Various…

Systems and Control · Computer Science 2014-08-19 Oleksii Mykhailenko

While linear systems are well-understood, no explicit solution for general nonlinear systems exists. A classical approach to make the understanding of linear system available in the nonlinear setting is to represent a nonlinear system by a…

Dynamical Systems · Mathematics 2024-12-31 Thomas Breunung , Florian Kogelbauer

A simple nonlinear system modeling algorithm designed to work with limited \emph{a priori }knowledge and short data records, is examined. It creates an empirical Volterra series-based model of a system using an $l_{q}$-constrained least…

Systems and Control · Computer Science 2018-04-20 P. Śliwiński , A. Marconato , P. Wachel , G. Birpoutsoukis

Block-oriented models are often used to model nonlinear systems. These models consist of linear dynamic (L) and nonlinear static (N) sub-blocks. This paper addresses the generation of initial estimates for a Wiener-Hammerstein model (LNL…

Systems and Control · Computer Science 2016-12-15 Koen Tiels , Maarten Schoukens , Johan Schoukens

Nonlinear state-space modelling is a very powerful black-box modelling approach. However powerful, the resulting models tend to be complex, described by a large number of parameters. In many cases interpretability is preferred over…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Jan Decuyper , Koen Tiels , Mark C. Runacres , Johan Schoukens

This article addresses the following problems: 1) First, a nonlinearity analysis is made looking for the presence of nonlinearities in an early phase of the identification process. The level and the nature of the nonlinearities should be…

Systems and Control · Computer Science 2018-04-26 Johan Schoukens , Mark Vaes , Rik Pintelon

Uniform and smooth data collection is often infeasible in real-world scenarios. In this paper, we propose an identification framework to effectively handle the so-called non-uniform observations, i.e., data scenarios that include missing…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

System identification of complex and nonlinear systems is a central problem for model predictive control and model-based reinforcement learning. Despite their complexity, such systems can often be approximated well by a set of linear…

Machine Learning · Statistics 2019-05-30 Philip Becker-Ehmck , Jan Peters , Patrick van der Smagt

Linear parameter-varying (LPV) models form a powerful model class to analyze and control a (nonlinear) system of interest. Identifying an LPV model of a nonlinear system can be challenging due to the difficulty of selecting the scheduling…

Systems and Control · Computer Science 2020-05-11 Maarten Schoukens , Roland Tóth

There have been increasing interests on the Volterra series identification with the kernel-based regularization method. The major difficulties are on the kernel design and efficiency of the corresponding implementation. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Yu Xu , Biqiang Mu , Tianshi Chen
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