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July 21, 2026 preprint Open access Aachen paper

Data-driven feedback rectification of switched linear systems

arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.19578 Full text (OA) OpenAlex

Abstract

In this paper, a data-driven method for the computation of stabilizing state-feedbacks is proposed that leads to a rectified eigenstructure of switched linear systems. This means that all switching subsystems have the same sets of eigenvectors and the rectification allows to compute a common quadratic Lyapunov function ensuring asymptotic stability of the closed-loop system. The method is illustrated for two examples including a model of an aerosonde.

Authors 4

  1. Philipp Schmitz

    Technische Universität Ilmenau

    Affiliation as printed

    Optimization-based Control Group , Technische Universität Ilmenau , 98693 Ilmenau , Germany

  2. Hannes Gernandt

    University of Wuppertal · Fraunhofer Research Institution for Energy Infrastructures and Geotechnologies IEG

    Affiliation as printed

    Fraunhofer Research Institution for Energy Infrastructures and Geotechnologies IEG , 03046 Cottbus , Germany

    University of Wuppertal , Gaußstraße 20 , 42119 Wuppertal , Germany

  3. Maria Christine Honecker Aachen Chair of Intelligent Control Systems

    Deutz (Germany) · RWTH Aachen University

    Affiliation as printed

    Chair of Intelligent Control Systems , RWTH Aachen University , Kopernikusstraße 16 , 52062 Aachen , Germany

    cigus GmbH , Magirus-Deutz-Straße 13 , 89077 Ulm , Germany

  4. Karl Worthmann

    Technische Universität Ilmenau

    Affiliation as printed

    Optimization-based Control Group , Technische Universität Ilmenau , 98693 Ilmenau , Germany

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