Automated Linear Parameter-Varying Modeling and Control Synthesis for Nonlinear Complex Systems

Project Information

APROCS

Grant agreement ID: 714663

DOI

10.3030/714663

Project closed

EC signature date 17 January 2017

Start date 1 September 2017

End date 31 March 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 493 561,00

EU contribution

€ 1 493 561,00

Coordinated by

TECHNISCHE UNIVERSITEIT EINDHOVEN
Netherlands

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Conference proceedings (45)

Scheduling Dimension Reduction of LPV Models - A Deep Neural Network Approach

Author(s): P.J.W. Koelewijn, R. Toth
Published in: 2020 American Control Conference (ACC), 2020, Page(s) 1111-1117, ISBN 978-1-5386-8266-1
Publisher: IEEE
DOI: 10.23919/acc45564.2020.9147310

Data-Driven Predictive Control for Linear Parameter-Varying Systems

Author(s): Verhoek, C., H. S. Abbas and R. Tóth:
Published in: Proc. of the 4th IFAC Workshop on Linear Parameter-Varying Systems, 2021, Page(s) 101-108
Publisher: IFAC
DOI: 10.1016/j.ifacol.2021.08.588

Data-Driven Rational LPV Controller Synthesis for Unstable Systems using Frequency Response Functions

Author(s): Bloemers, T.A.H., R. Tóth and T. Oomen
Published in: 39th Benelux Meeting on Systems and Control, Issue 39, 2020, Page(s) 144, ISBN 978-94-034-2571-9
Publisher: University of Groningen

Incremental Dissipativity Analysis of Nonlinear Systems using the Linear Parameter-Varying Framework

Author(s): Verhoek, C., P. J. W. Koelewijn and R. Tóth
Published in: 39th Benelux Meeting on Systems and Control, Issue 39, 2020, Page(s) 75, ISBN 978-94-034-2571-9
Publisher: University of Groningen

Optimal Synthesis of LTI Koopman Models for Nonlinear Systems with Inputs

Author(s): Iacob, L. C., R. Tóth, M. Schoukens
Published in: 5th IFAC Workshop on Linear Parameter Varying Systems LPVS 2022, 2022, Page(s) 250-255
Publisher: IFAC

Incremental Stability and Performance Analysis of Discrete-Time Nonlinear Systems using the LPV Framework

Author(s): Koelewijn, P. J.W., R. Tóth, S. Weiland
Published in: Proc. of the 4th IFAC Workshop on Linear Parameter-Varying Systems, 2021
Publisher: IFAC
DOI: 10.1016/j.ifacol.2021.08.584

Linear Parameter-Varying Embedding of Nonlinear Models with Reduced Conservativeness

Author(s): Sadeghzadeh, A. and R. Tóth:
Published in: Proc. of the IFAC World Congress, 2020, Page(s) 4737-4743
Publisher: IFAC
DOI: 10.1016/j.ifacol.2020.12.598

Linear Parameter-Varying Embedding of Nonlinear Models Based on Polynomial Approximation

Author(s): Sadeghzadeh, A. and R. Tóth
Published in: 39th Benelux Meeting on Systems and Control, Issue 39, 2020, Page(s) 79, ISBN 978-94-034-2571-9
Publisher: University of Groningen

Deep Learning-based Identification of Koopman Models with Inputs

Author(s): L.C. Iacob, G.I. Beintema, Maarten Schoukens, Roland Tóth
Published in: 41st Benelux Meeting on Systems and Control 2022, 2022, Page(s) 49
Publisher: Université Libre de Bruxelles

Frequency-Domain Data-Driven Controller Synthesis for Unstable LPV Systems

Author(s): Bloemers, T., R. Tóth, T. Oomen
Published in: Proc. of the 4th IFAC Workshop on Linear Parameter-Varying Systems, 2021, Page(s) 109-115
Publisher: IFAC
DOI: 10.1016/j.ifacol.2021.08.589

Deep-Learning-Based Identification of LPV Models for Nonlinear Systems

Author(s): Verhoek, C., G. I. Beintema, S. Haesaert, M. Schoukens, and R. Tóth
Published in: Proc. of the 61st IEEE Conference on Decision and Control, 2022, Page(s) 3274-3280, ISSN 0743-1546
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/cdc51059.2022.9992609

Deep Identification of Nonlinear Systems in Koopman Form

Author(s): Iacob, L. C., G. I. Beintema, M. Schoukens and R. Tóth
Published in: Proc. of the 60th IEEE conference on Decision and Control, 2021, Page(s) 2284-2289
Publisher: IEEE
DOI: 10.1109/cdc45484.2021.9682946

On the Initialization of Nonlinear LFR Model Identification with the Best Linear Approximation

Author(s): Schoukens, Maarten; Toth, Roland
Published in: Proc. of the IFAC World Congress, Issue 6, 2020
Publisher: IFAC
DOI: 10.1016/j.ifacol.2020.12.142

Incremental Stability based Analysis and Control of Nonlinear Systems using the LPV Framework

Author(s): Koelewijn, P. J. W., R. Tóth and S. Weiland
Published in: 39th Benelux Meeting on Systems and Control, Issue 39, 2020, Page(s) 77, ISBN 978-94-034-2571-9
Publisher: University of Groningen

Frequency Response Data-driven LPV Controller Synthesis for MIMO Systems

Author(s): Tom A.H. Bloemers, Tom A.E. Oomen, Roland Tóth
Published in: 2022 American Control Conference, 2022, Page(s) 5205-5210
Publisher: ACC

Learning Linear Surrogate Models of Nonlinear Systems

Author(s): Iacob, L. C., R. Tóth and M. Schoukens:
Published in: Proc. of the 40th Benelux Meeting, 2021
Publisher: DISC

Linear Parameter Varying Representation of a class of MIMO Nonlinear Systems

Author(s): Maarten Schoukens, Roland Tóth
Published in: IFAC-PapersOnLine, Issue 51/26, 2018, Page(s) 94-99, ISSN 2405-8963
Publisher: IFAC (International Federation of Automatic Control) Hosted by Elsevier
DOI: 10.1016/j.ifacol.2018.11.162

From Nonlinear Identification to Linear Parameter Varying Models: Benchmark Examples

Author(s): Maarten Schoukens, Roland Tóth
Published in: IFAC-PapersOnLine, Issue 51/15, 2018, Page(s) 419-424, ISSN 2405-8963
Publisher: IFAC (International Federation of Automatic Control) Hosted by Elsevier
DOI: 10.1016/j.ifacol.2018.09.181

On guaranteeing tracking performance and stability with LPV control for nonlinear systems

Author(s): G. S. Mazzoccante, R. Toth, S. Weiland
Published in: Proc. of the 37th Benelux Meeting, Issue 37, 2018, Page(s) 146, ISBN 978-94-034-0551-3
Publisher: University of Groningen

From Nonlinear Identification to Linear Parameter Varying Models: Benchmark Examples

Author(s): M. Schoukens, R. Toth
Published in: Proc. of the 37th Benelux Meeting, Issue 37, 2018, Page(s) 68, ISBN 978-94-034-0551-3
Publisher: University of Groningen

LPV Control of a Gyroscope with Inverted Pendulum Attachment

Author(s): P.J.W. Koelewijn, P.S.G. Cisneros, H. Werner, R. Tóth
Published in: IFAC-PapersOnLine, Issue 51/26, 2018, Page(s) 49-54, ISSN 2405-8963
Publisher: IFAC (International Federation of Automatic Control) Hosted by Elsevier
DOI: 10.1016/j.ifacol.2018.11.169

Subspace Identification for Linear Parameter-Varying Systems

Author(s): P. B. Cox, R. Toth, P. M. J. Van den Hof
Published in: Proc. of the 37th Benelux Meeting, Issue 37, 2018, Page(s) 19, ISBN 978-94-034-0551-3
Publisher: University of Groningen

Comparison of Parameter-Varying Decoupling Based Control Schemes for a Quadrotor

Author(s): Thomas T.R. van de Wiel, Roland Tóth, Vsevolod I. Kiriouchine
Published in: IFAC-PapersOnLine, Issue 51/26, 2018, Page(s) 55-61, ISSN 2405-8963
Publisher: IFAC (International Federation of Automatic Control) Hosted by Elsevier
DOI: 10.1016/j.ifacol.2018.11.168

Data-driven LPV synthesis: FIR controller case

Author(s): T. Bloemers, R. Toth, T. Oomen
Published in: Proc. of the 38th Benelux Meeting, Issue 38, 2019, Page(s) 111, ISBN 9789-082825954
Publisher: KU Leuven - Department of Electrical Engineering

Identification of Nonlinear LFR Systems starting from the Best Linear Approximation

Author(s): M. Schoukens, R. Toth
Published in: Proc. of The Workshop on Nonlinear System Identification Benchmarks, Issue 4, 2019, Page(s) 44
Publisher: Eindhoven University of Technology

On guaranteeing asymptotic output tracking and disturbance rejection for nonlinear systems with LPV control

Author(s): G.S. Mazzoccante, R. Toth, S. Weiland
Published in: Proc. of the 38th Benelux Meeting, Issue 38, 2019, Page(s) 88, ISBN 9789-082825954
Publisher: KU Leuven - Department of Electrical Engineering

Modeling for LPV Control

Author(s): P. Koelewijn, R. Toth
Published in: Proc. of the 38th Benelux Meeting, Issue 38, 2019, Page(s) 152, ISBN 9789-082825954
Publisher: KU Leuven - Department of Electrical Engineering

On Behavioral Interpolation in Local LPV System Identification

Author(s): P. den Boef, R. Tóth, M. Schoukens
Published in: IFAC-PapersOnLine, Issue 52/28, 2019, Page(s) 20-25, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.341

Learning Based Approximate Model Predictive Control for Nonlinear Systems

Author(s): D. Gángó, T. Péni, R. Tóth
Published in: IFAC-PapersOnLine, Issue 52/28, 2019, Page(s) 152-157, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.363

Linear Parameter-Varying Control of Nonlinear Systems based on Incremental Stability

Author(s): P.J.W. Koelewijn, R. Tóth, H. Nijmeijer
Published in: IFAC-PapersOnLine, Issue 52/28, 2019, Page(s) 38-43, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.345

Data-Driven LPV Reference Tracking for a Control Moment Gyroscope

Author(s): Tom Bloemers, Roland Tóth, Tom Oomen
Published in: IFAC-PapersOnLine, Issue 52/28, 2019, Page(s) 134-139, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.360

Frequency Response Functions of Linear Parameter-Varying Systems

Author(s): Maarten Schoukens, Roland Tóth
Published in: IFAC-PapersOnLine, Issue 52/28, 2019, Page(s) 32-37, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.344

A Comparison of LPV Gain Scheduling and Control Contraction Metrics for Nonlinear Control

Author(s): Ruigang Wang, Roland Tóth, Ian R. Manchester
Published in: IFAC-PapersOnLine, Issue 52/28, 2019, Page(s) 44-49, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.346

Data-driven LPV controller synthesis in the frequency-domain

Author(s): Tom A.H. Bloemers, Tom A.E. Oomen, Roland Toth
Published in: 28th European Research Network on System Identification (ERNSI) workshop, Issue 22 Sep 2019, 2019
Publisher: TU/e Eindhoven

Towards Data-Driven LPV Controller Synthesis Based on Frequency Response Functions

Author(s): Tom Bloemers, Roland Toth, Tom Oomen
Published in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, Page(s) 5680-5685, ISBN 978-1-7281-1398-2
Publisher: IEEE
DOI: 10.1109/cdc40024.2019.9029958

Fundamental Lemma for Data-Driven Analysis of Linear Parameter-Varying Systems

Author(s): Verhoek, C. R. Tóth, S. Haesaert and A. Koch
Published in: Proc. of the 60th IEEE conference on Decision and Control, 2021, Page(s) 5033-5039
Publisher: IEEE
DOI: 10.1109/cdc45484.2021.9683151

Pitfalls of Guaranteeing Asymptotic Stability in LPV Control of Nonlinear Systems

Author(s): P.J.W. Koelewijn, G. Sales Mazzoccante, R. Toth, S. Weiland
Published in: 2020 European Control Conference (ECC), 2020, Page(s) 1573-1578, ISBN 978-3-90714-402-2
Publisher: IEEE
DOI: 10.23919/ecc51009.2020.9143810

Data-Driven Predictive Control of Linear Parameter-Varying Systems

Author(s): Verhoek, C., R. Tóth and S. Haesaert
Published in: Proc. of the 40th Benelux Meeting, 2021
Publisher: DISC

An experimental result on direct data-driven control of nonlinear systems using the LPV framework

Author(s): Verhoek, C., S. Haesaert, and R. Tóth
Published in: Proc. of the 42nd Benelux Meeting, 2023, Page(s) 214
Publisher: Benelux meeting

LPVcore: MATLAB Toolbox for LPV Modelling, Identification and Control

Author(s): den Boef, P., P. B. Cox and R. Tóth
Published in: Proc. of the 19th IFAC Symposium System Identification: learning models for decision and control, 2021, Page(s) 385-390
Publisher: IFAC
DOI: 10.1016/j.ifacol.2021.08.390

LPV Modeling Using the Koopman Operator

Author(s): Iacob, L.C., R. Tóth and M. Schoukens
Published in: 39th Benelux Meeting on Systems and Control, Issue 39, 2020, Page(s) 133, ISBN 978-94-034-2571-9
Publisher: University of Groningen

Incremental Dissipativity based Control of Discrete-Time Nonlinear Systems via the LPV Framework

Author(s): Koelewijn, P. J.W. and R. Tóth
Published in: Proc. of the 60th IEEE conference on Decision and Control, 2021, Page(s) 3277-3282, ISSN 2576-2370
Publisher: IEEE
DOI: 10.1109/cdc45484.2021.9682893

Embedding of Polynomial Nonlinear Systems into Finite Dimensional Koopman Representations

Author(s): Iacob, L. C., M. Schoukens and R. Tóth
Published in: Proc. of the 42nd Benelux Meeting, 2023, Page(s) 149
Publisher: Benelux meeting

Learning-Based Model-Augmentation of Nonlinear Approximative Models using the Sub-Space Encoder

Author(s): C. Verhoek, G.I. Beintema, Sofie Haesaert, Maarten Schoukens, Roland Tóth
Published in: 41st Benelux Meeting on Systems and Control, 2022, Page(s) 52
Publisher: Universite de Bruxelles

On discretization of continuous-time LPV control solutions

Author(s): [68] Broens, Y., H. Butler and R. Tóth
Published in: Proc. of the 41st Benelux Meeting, 2022, Page(s) 199
Publisher: Benelux meeting

Peer reviewed articles (14)

Linear Parameter-Varying Subspace Identification: A Unified Framework

Author(s): Cox, P. B.; Tóth, R.
Published in: Automatica, Issue 123, 2021, Page(s) 109296, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2020.109296

Stabilizing non-linear model predictive control using linear parameter-varying embeddings and tubes

Author(s): Hanema, J., R. Tóth and M. Lazar
Published in: IET Control Theory and Applications, Issue 15, 2021, Page(s) 1404-1421, ISSN 1751-8652
Publisher: Institution of Engineering and Technology
DOI: 10.1049/cth2.12131

LPV modeling of nonlinear systems: A multi-path feedback linearization approach

Author(s): Abbas, H. S., Tóth, R., Petreczky, M. Meskin, N. Mohammadpour, J. Koelewijn, P.J.W.
Published in: International Journal of Robust and Nonlinear Control, Issue 31, 2021, Page(s) 9436-9465, ISSN 1049-8923
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rnc.5799

Convex Incremental Dissipativity Analysis of Nonlinear Systems

Author(s): C. Verhoek, Patrick J.W. Koelewijn, Sofie Haesaert, Roland Tóth
Published in: Automatica, Issue Vol. 150, 2023, Page(s) 110859, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2023.110859

Nonlinear parameter-varying state-feedback design for a gyroscope using virtual control contraction metrics

Author(s): Ruigang Wang; Patrick J. W. Koelewijn; Ian R. Manchester; Roland Tóth
Published in: International Journal of Robust and Nonlinear Control, Issue 31, 2021, Page(s) 8147 - 8164, ISSN 1099-1239
Publisher: John Wiley and Sons Ltd
DOI: 10.1002/rnc.5559

Frequency Response Data-Based LPV Controller Synthesis Applied to a Control Moment Gyroscope

Author(s): Bloemers, T.A.H., T.A.E. Oomen, R. Tóth
Published in: IEEE Transactions on Control Systems Technology , In Print, Issue Vol. 30, 2022, Page(s) 2734-2742, ISSN 1063-6536
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tcst.2022.3152626

LPV-ARX Representations of LPV State-Space Models with Affine Dependence

Author(s): Petreczky, M., R. Tóth, and G. Merc`ere
Published in: Systems and Control Letters, Issue Vol. 173, 2023, Page(s) 105459, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2023.105459

Improved Embedding of Nonlinear Systems in Linear Parameter-Varying Models with Polynomial Dependence

Author(s): Sadeghzadeh, A. and R. Tóth
Published in: IEEE Transactions on Control Systems Technology, Issue Vol. 31, 2023, Page(s) 70-82, ISSN 1063-6536
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tcst.2022.3173891

Affine Parameter-Dependent Lyapunov Functions for LPV Systems With Affine Dependence

Author(s): Pepijn B. Cox, Siep Weiland, Roland Toth
Published in: IEEE Transactions on Automatic Control, Issue 63/11, 2018, Page(s) 3865-3872, ISSN 0018-9286
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/TAC.2018.2824982

Towards efficient maximum likelihood estimation of LPV-SS models

Author(s): Pepijn Bastiaan Cox, Roland Tóth, Mihály Petreczky
Published in: Automatica, Issue 97, 2018, Page(s) 392-403, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2018.08.021

Heterogeneously parameterized tube model predictive control for LPV systems

Author(s): Jurre Hanema, Mircea Lazar, Roland Tóth
Published in: Automatica, Issue 111, 2020, Page(s) 108622, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2019.108622

Sparse RKHS estimation via globally convex optimization and its application in LPV-IO identification

Author(s): Vincent Laurain, Roland Tóth, Dario Piga, Mohamed Abdelmonim Hassan Darwish
Published in: Automatica, Issue 115, 2020, Page(s) 108914, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2020.108914

Affine Linear Parameter-Varying Embedding of Nonlinear Models with Improved Accuracy and Minimal Overbounding

Author(s): Sadeghzadeh, A., B. Sharif and R. Tóth
Published in: IET Control Theory & Applications, Issue 14, 2020, Page(s) 3363 – 3373, ISSN 1751-8644
Publisher: Institution of Engineering and Technology
DOI: 10.1049/iet-cta.2020.0474

Frequency Response Data-driven LPV Controller Synthesis for MIMO Systems

Author(s): Tom Bloemers; Tom Oomen; Roland Toth
Published in: IEEE Control Systems Letters, Issue 6, 2021, Page(s) 2264 - 2269, ISSN 2475-1456
Publisher: IEEE
DOI: 10.1109/lcsys.2021.3139734

Thesis and dissertations (2)

Analysis and Control of Nonlinear Systems with Stability and Performance Guarantees: A Linear Parameter-Varying Approach

Author(s): Patrick J. W. Koelewijn
Published in: 2023, ISBN 978-90-386-5657-1
Publisher: Eindhoven University of Technology

Data-Driven Linear Parameter-Varying Control: A Frequency-Domain Approach

Author(s): Tom A. H. Bloemers
Published in: 2023, ISBN 978-90-386-5682-3
Publisher: Eindhoven University of Technology