Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment

We consider the analytical control design for a pair of switched linear multiple-input multiple-output (MIMO) systems that are subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment that ensures that the closed-loop switch...

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Bibliographic Details
Main Authors Wulff, Kai, Honecker, Maria Christine, Schmid, Robert, Reger, Johann
Format Journal Article
LanguageEnglish
Published 09.10.2024
Subjects
Computer Science - Systems and Control
Mathematics - Optimization and Control
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DOI10.48550/arxiv.2410.06688

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Summary:We consider the analytical control design for a pair of switched linear multiple-input multiple-output (MIMO) systems that are subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment that ensures that the closed-loop switched system is globally asymptotically stable, and the outputs achieve the non-overshooting tracking of a step reference. Our analysis indicates whether non-overshooting or even monotonic tracking is achievable for the given system and considered outputs and provides a choice of possible eigenstructures to be assigned to the constituent subsystems. We derive a structural condition that verifies the feasibility of the chosen assignment. A constructive algorithm to obtain suitable feedback matrices is provided, and the method is illustrated with numerical examples.
DOI:10.48550/arxiv.2410.06688