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arXiv · 2410.06688

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

Kai Wulff·Maria Christine Honecker·Robert Schmid·Johann Reger
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Abstract

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.

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Kai Wulff, Maria Christine Honecker, Robert Schmid, Johann Reger. 2024-10-09. Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment. https://doi.org/10.1016/j.automatica.2026.112831

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