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Nonlinear system modelling for linear parameter-varying control design

Total Cost €


EC-Contrib. €






Project "NL2LPV" data sheet

The following table provides information about the project.


Organization address
address: GROENE LOPER 3
postcode: 5612 AE

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Netherlands [NL]
 Total cost 177˙598 €
 EC max contribution 177˙598 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2017
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-03-01   to  2020-02-29


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

This project approaches the linear parameter-varying (LPV) framework starting from a nonlinear system point of view. This allows one to include strongly nonlinear systems in the considered LPV system class, and to develop LPV-based control strategies for nonlinear systems. At the end of this project a unified framework will be in place to go from nonlinear system identification to a LPV model suited for robust LPV control design.

Complex nonlinear behavior is encountered in many physical systems in engineering, e.g. in high-tech applications, chemical processes or in energy applications. For a long time, these systems were operated around steady-state conditions or specific regimes using digital controllers, designed via Linear Time-Invariant (LTI) control synthesis. Growing challenges in terms of system complexity, performance requirements, operational constraints and energy efficiency have begun to push the limitations of the LTI framework.

The nonlinear modelling and control tools developed in the past lack the intuitive and simple interpretation that are the trademark of LTI framework. The LPV framework on the other hand has been developed as an extension of the LTI framework, preserving most of its intuitive features, with the possibility to use a systematic control design flow. A significant gap continues to exist between nonlinear systems and the LPV framework.

How to bridge this gap, while exploiting the already available tools of nonlinear system identification for the estimation of LPV models for robust LPV control design is the topic of this research proposal. Three core research objectives are addressed in this project:

1. Nonlinear identification for robust LPV control using a frequency-domain weighted cost function 2. Convert nonlinear models in LPV representations in a systematic way 3. Develop a frequency-domain LPV model uncertainty analysis framework

These three objectives combined result in LPV models suited for robust LPV control design.


year authors and title journal last update
List of publications.
2019 Maarten Schoukens, Roland Tóth
Frequency Response Functions of Linear Parameter-Varying Systems
published pages: 32-37, ISSN: 2405-8963, DOI: 10.1016/j.ifacol.2019.12.344
IFAC-PapersOnLine 52/28 2020-04-24
2018 Maarten Schoukens, Roland Tóth
Linear Parameter Varying Representation of a class of MIMO Nonlinear Systems
published pages: 94-99, ISSN: 2405-8963, DOI: 10.1016/j.ifacol.2018.11.162
IFAC-PapersOnLine 51/26 2020-04-24
2020 Rik Pintelon, Maarten Schoukens, John Lataire
Best Linear Approximation of Nonlinear Continuous-Time Systems Subject to Process Noise and Operating in Feedback
published pages: 1-1, ISSN: 0018-9456, DOI: 10.1109/tim.2020.2987476
IEEE Transactions on Instrumentation and Measurement 2020-04-24
2018 M. Schoukens, J.P. Noël, P.M.J. Van den Hof
Combining Experiments for Linear Dynamic Network Identification in the Presence of Nonlinearities
published pages: 212026, ISSN: 1742-6588, DOI: 10.1088/1742-6596/1065/21/212026
Journal of Physics: Conference Series 1065 2020-04-24
2020 Schoukens, Maarten; Pintelon, Rik; Dobrowiecki, Tadeusz P.; Schoukens, Johan
Extending the Best Linear Approximation Framework to the Process Noise Case
published pages: 1514-1524, ISSN: 0018-9286, DOI: 10.1109/tac.2019.2923038
IEEE Transactions on Automatic Control 65 2020-04-24

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