Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems

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Original languageEnglish
Pages (from-to)617-624
Number of pages8
JournalIFAC-PapersOnLine
Volume56
Issue number2
Early online date22 Nov 2023
Publication statusPublished - 2023
EventIFAC World Congress 2023 - Pacific Convention Plaza Yokohama, Yokohama, Japan
Duration: 9 Jul 202314 Jul 2023

Abstract

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy output data along with a set of basis functions that approximate the unknown nonlinearities. Despite the noisy output data as well as the mismatch caused by the use of basis functions, we show that the proposed multi-step robust data-driven nonlinear predictive control scheme is recursively feasible and renders the closed-loop system practically exponentially stable. We illustrate our results on a model of a fully-actuated double inverted pendulum.

Keywords

    Data-driven predictive control, Data-based control, Feedback linearization, Nonlinear predictive control

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Cite this

Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems. / Alsalti, Mohammad Salahaldeen Ahmad; Lopez Mejia, Victor Gabriel; Berberich, Julian et al.
In: IFAC-PapersOnLine, Vol. 56, No. 2, 2023, p. 617-624.

Research output: Contribution to journalConference articleResearchpeer review

Alsalti, MSA, Lopez Mejia, VG, Berberich, J, Allgöwer, F & Müller, MA 2023, 'Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems', IFAC-PapersOnLine, vol. 56, no. 2, pp. 617-624. https://doi.org/10.1016/j.ifacol.2023.10.1636
Alsalti MSA, Lopez Mejia VG, Berberich J, Allgöwer F, Müller MA. Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems. IFAC-PapersOnLine. 2023;56(2):617-624. Epub 2023 Nov 22. doi: 10.1016/j.ifacol.2023.10.1636
Alsalti, Mohammad Salahaldeen Ahmad ; Lopez Mejia, Victor Gabriel ; Berberich, Julian et al. / Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems. In: IFAC-PapersOnLine. 2023 ; Vol. 56, No. 2. pp. 617-624.
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Download

TY - JOUR

T1 - Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems

AU - Alsalti, Mohammad Salahaldeen Ahmad

AU - Lopez Mejia, Victor Gabriel

AU - Berberich, Julian

AU - Allgöwer, Frank

AU - Müller, Matthias A.

N1 - Publisher Copyright: Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

PY - 2023

Y1 - 2023

N2 - We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy output data along with a set of basis functions that approximate the unknown nonlinearities. Despite the noisy output data as well as the mismatch caused by the use of basis functions, we show that the proposed multi-step robust data-driven nonlinear predictive control scheme is recursively feasible and renders the closed-loop system practically exponentially stable. We illustrate our results on a model of a fully-actuated double inverted pendulum.

AB - We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy output data along with a set of basis functions that approximate the unknown nonlinearities. Despite the noisy output data as well as the mismatch caused by the use of basis functions, we show that the proposed multi-step robust data-driven nonlinear predictive control scheme is recursively feasible and renders the closed-loop system practically exponentially stable. We illustrate our results on a model of a fully-actuated double inverted pendulum.

KW - Data-driven predictive control

KW - Data-based control

KW - Feedback linearization

KW - Nonlinear predictive control

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U2 - 10.1016/j.ifacol.2023.10.1636

DO - 10.1016/j.ifacol.2023.10.1636

M3 - Conference article

VL - 56

SP - 617

EP - 624

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

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T2 - IFAC World Congress 2023

Y2 - 9 July 2023 through 14 July 2023

ER -

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