no code implementations • 24 Dec 2024 • Chris Verhoek, Ivan Markovsky, Sofie Haesaert, Roland Tóth
In this paper, we present data-driven representations of linear parameter-varying (LPV) systems that can be used for direct data-driven analysis and control of LPV systems.
no code implementations • 1 Aug 2024 • Chris Verhoek, Roland Tóth
We propose kernel-based approaches for the construction of a single-step and multi-step predictor of the velocity form of nonlinear (NL) systems, which describes the time-difference dynamics of the corresponding NL system and admits a highly structured representation.
1 code implementation • 2 Apr 2024 • Jan H. Hoekstra, Chris Verhoek, Roland Tóth, Maarten Schoukens
The performance and generalization capabilities of the proposed method are demonstrated on a hardening mass-spring-damper simulation.
no code implementations • 25 Mar 2024 • Chris Verhoek, Jaap Eising, Florian Dörfler, Roland Tóth
A promising step from linear towards nonlinear data-driven control is via the design of controllers for linear parameter-varying (LPV) systems, which are linear systems whose parameters are varying along a measurable scheduling signal.
no code implementations • 13 Nov 2023 • Chris Verhoek, Julian Berberich, Sofie Haesaert, Roland Tóth, Hossam S. Abbas
By means of the linear parameter-varying (LPV) Fundamental Lemma, we derive novel data-driven predictive control (DPC) methods for LPV systems.
no code implementations • 5 Apr 2023 • Birgit C. van Huijgevoort, Chris Verhoek, Roland Tóth, Sofie Haesaert
Most control synthesis methods under temporal logic properties require a model of the system, however, identifying such a model can be a challenging task.
no code implementations • 4 Apr 2023 • Chris Verhoek, Ruigang Wang, Roland Tóth
This paper presents two direct parameterizations of stable and robust linear parameter-varying state-space (LPV-SS) models.
no code implementations • 19 Mar 2023 • Chris Verhoek, Patrick J. W. Koelewijn, Sofie Haesaert, Roland Tóth
Through the use of the Fundamental Lemma for linear systems, a direct data-driven state-feedback control synthesis method is presented for a rather general class of nonlinear (NL) systems.
no code implementations • 17 Mar 2023 • Chris Verhoek, Julian Berberich, Sofie Haesaert, Frank Allgöwer, Roland Tóth
We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data.
no code implementations • 30 Nov 2022 • Chris Verhoek, Hossam S. Abbas, Roland Tóth
The LPV data-driven control design that builds on this representation form uses only measurement data from the nonlinear system and a priori information on a scheduling map that can lead to an LPV embedding of the nonlinear system behavior.
no code implementations • 30 Nov 2022 • Chris Verhoek, Roland Tóth, Hossam S. Abbas
In this work, we derive novel methods that allow to synthesize LPV state-feedback controllers directly from only a single sequence of data and guarantee stability and performance of the closed-loop system.
no code implementations • 19 May 2022 • Matthis H. de Lange, Chris Verhoek, Valentin Preda, Roland Tóth
Obtaining models that can be used for control is of utmost importance to ensure the guidance and navigation of spacecraft, like a Generic Parafoil Return Vehicle (GPRV).
no code implementations • 8 Apr 2022 • Chris Verhoek, Gerben I. Beintema, Sofie Haesaert, Maarten Schoukens, Roland Tó th
The Linear Parameter-Varying (LPV) framework provides a modeling and control design toolchain to address nonlinear (NL) system behavior via linear surrogate models.
no code implementations • 30 Mar 2021 • Chris Verhoek, Roland Tóth, Sofie Haesaert, Anne Koch
Based on the behavioural framework for LPV systems, we prove that one can obtain a result similar to Willems'.
no code implementations • 30 Mar 2021 • Chris Verhoek, Hossam S. Abbas, Roland Tóth, Sofie Haesaert
Based on the extension of the behavioral theory and the Fundamental Lemma for Linear Parameter-Varying (LPV) systems, this paper introduces a Data-driven Predictive Control (DPC) scheme capable to ensure reference tracking and satisfaction of Input-Output (IO) constraints for an unknown system under the conditions that (i) the system can be represented in an LPV form and (ii) an informative data-set containing measured IO and scheduling trajectories of the system is available.
no code implementations • 25 Jun 2020 • Chris Verhoek, Patrick J. W. Koelewijn, Sofie Haesaert, Roland Tóth
We investigate how stability and performance characterizations of nonlinear systems in the incremental framework are linked to dissipativity, and how general performance characterization beyond the $\mathcal{L}_2$-gain concept can be understood in this framework.