Data‐driven model order reduction of quadratic‐bilinear systems

IV Gosea, AC Antoulas - Numerical Linear Algebra with …, 2018 - Wiley Online Library
We introduce a data‐driven model order reduction approach that represents an extension of
the Loewner framework for linear and bilinear systems to the case of quadratic‐bilinear (QB) …

Data-driven model order reduction of linear switched systems in the Loewner framework

IV Gosea, M Petreczky, AC Antoulas - SIAM Journal on Scientific Computing, 2018 - SIAM
The Loewner framework for model reduction is extended to the class of linear switched
systems. One advantage of this framework is that it introduces a trade-off between accuracy …

A novel mathematical method for disclosing oscillations in gene transcription: A comparative study

AC Antoulas, B Zhu, Q Zhang, B York, BW O'Malley… - PloS one, 2018 - journals.plos.org
Circadian rhythmicity, the 24-hour cycle responsive to light and dark, is determined by
periodic oscillations in gene transcription. This phenomenon has broad ramifications in …

From reference model selection to controller validation: Application to loewner data-driven control

P Kergus, M Olivi, C Poussot-Vassal… - IEEE Control Systems …, 2019 - ieeexplore.ieee.org
The choice of a reference model in data-driven control techniques is a critical step. Indeed, it
should represent the desired closed-loop performances and be achievable by the plant at …

Frequency-domain data-driven control design in the Loewner framework

P Kergus, C Poussot-Vassal, F Demourant… - IFAC-PapersOnLine, 2017 - Elsevier
In this article, a direct data-driven design method, based on frequency-domain data, is
proposed. The identification of the plant is skipped and the controller is designed directly …

Data-driven quadratic modeling in the Loewner framework from input-output time-domain measurements

DS Karachalios, IV Gosea, L Gkimisis… - arxiv preprint arxiv …, 2022 - arxiv.org
In this study, we present a purely data-driven method that uses the Loewner framework (LF)
along with nonlinear optimization techniques to infer quadratic with affine control dynamical …

Data-driven model reference control in the frequency-domain From model reference selection to controller validation

P Kergus - 2019 - hal.science
In many applications, no physical description of the plant is easily available and the control
law has to be designed on the basis of input-output measurements only. Two control …

Data-driven model order reduction of linear switched systems

IV Gosea, M Petreczky, AC Antoulas - arxiv preprint arxiv:1712.05740, 2017 - arxiv.org
The Loewner framework for model reduction is extended to the class of linear switched
systems. One advantage of this framework is that it introduces a trade-off between accuracy …

[PDF][PDF] Data-driven model reduction in the Loewner framework

T Antoulas - maths.durham.ac.uk
Data-driven model reduction in the Loewner framework [5mm] Page 1 Data-driven model
reduction in the Loewner framework Thanos Antoulas Rice University, MPI Magdeburg & …