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Related papers: Space-Filling Input Design for Nonlinear State-Spa…

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The quality of an estimated nonlinear model highly depends on the data quality that was used for the system identification. By using a Gaussian Process-based optimal input design approach, a so-called space-filling dataset can be generated…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Máté Kiss , Maarten Schoukens , Roland Tóth

While optimal input design for linear systems has been well-established, no systematic approach exists for nonlinear systems where robustness to extrapolation/interpolation errors is prioritized over minimizing estimated parameter variance.…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Yuhan Liu , Máté Kiss , Roland Tóth , Maarten Schoukens

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

The effectiveness of data-driven techniques significantly relies on the input signal used to generate the training data. Nevertheless, there is a notable gap in research when it comes to designing excitation signals for identifying…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Max Heinz Herkersdorf , Tarek Koesters , Oliver Nelles

The effectiveness of data-driven techniques heavily depends on the input signal used to generate the estimation data. However, a significant research gap exists in the field of input design for nonlinear dynamic system identification. In…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Max Herkersdorf , Oliver Nelles

In the present paper, two existing nonlinear system identification methodologies are used to identify data-driven models. The first methodology focuses on identifying the system using steady-state excitations. To accomplish this, a…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Gleb Kleyman , Ali Tatar , Matthew R. W. Brake , Simon Peter , Jean-Philippe Noël , Matthew S. Allen , Malte Krack

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

System identification involves constructing mathematical models of dynamic systems using input-output data, enabling analysis and prediction of system behaviour in both time and frequency domains. This approach can model the entire system…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Rajintha Gunawardena , Zi-Qiang Lang , Fei He

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

This paper is concerned with black-box identification of nonlinear state space models. By using a basis function expansion within the state space model, we obtain a flexible structure. The model is identified using an expectation…

Computation · Statistics 2016-11-17 Andreas Svensson , Thomas B. Schön , Arno Solin , Simo Särkkä

We investigate the use of active-learning (AL) strategies to generate the input excitation signal at runtime for system identification of linear and nonlinear autoregressive and state-space models. We adapt various existing AL approaches…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Kui Xie , Alberto Bemporad

Many real world systems exhibit a quasi linear or weakly nonlinear behavior during normal operation, and a hard saturation effect for high peaks of the input signal. In this paper, a methodology to identify a parsimonious discrete-time…

Systems and Control · Computer Science 2018-05-17 Rishi Relan , Koen Tiels , Anna Marconato , Philippe Dreesen , Johan Schoukens

Traditional system identification with multisine inputs relies on uniform sampling and periodic excitation to preserve Fourier orthogonality and avoid spectral leakage, limiting its use in scenarios with irregular sampling or nonperiodic…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Enrico Dozzi , Tom Oomen , Rodrigo A. González

The goal of this article is twofold. Firstly, nonlinear system identification is introduced to a wide audience, guiding practicing engineers and newcomers in the field to a sound solution of their data driven modeling problems for nonlinear…

Systems and Control · Computer Science 2019-02-05 Johan Schoukens , Lennart Ljung

Performing a computer experiment can be viewed as observing a mapping between the model parameters and the corresponding model outputs predicted by the computer model. In view of this, experimental design for computer experiments can be…

Computation · Statistics 2017-12-29 Chang-Han Rhee , Enlu Zhou , Peng Qiu

Many software engineering tasks, such as testing, and anomaly detection can benefit from the ability to infer a behavioral model of the software.Most existing inference approaches assume access to code to collect execution sequences. In…

Machine Learning · Computer Science 2021-10-13 Foozhan Ataiefard , Mohammad Jafar Mashhadi , Hadi Hemmati , Niel Walkinshaw

Parameter estimation of nonlinear state-space models from input-output data typically requires solving a highly non-convex optimization problem prone to slow convergence and suboptimal solutions. This work improves the reliability and…

Signal Processing · Electrical Eng. & Systems 2026-02-27 Merijn Floren , Jan Swevers

Deep state space models (SSMs) are an actively researched model class for temporal models developed in the deep learning community which have a close connection to classic SSMs. The use of deep SSMs as a black-box identification model can…

Systems and Control · Electrical Eng. & Systems 2021-06-21 Daniel Gedon , Niklas Wahlström , Thomas B. Schön , Lennart Ljung

In a recent paper we have shown that data collected from linear systems excited by persistently exciting inputs during low-complexity experiments, can be used to design state- and output-feedback controllers, including optimal Linear…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Claudio De Persis , Pietro Tesi

In the present paper, a flexible and parsimonious model of the vibrations of nonlinear mechanical systems is introduced in the form of state-space equations. It is shown that the nonlinear model terms can be formed using a limited number of…

Systems and Control · Computer Science 2016-10-31 Jean-Philippe Noël , Johan Schoukens , Gaetan Kerschen
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