Data-driven mode detection and stabilization of unknown switched linear systems Article Swipe

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Jaap Eising , Shenyu Liu , Sònia Martínez , Jorge Cortés ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2303.11489

This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of the different modes prior to the online operation of the system. On the basis of informative enough measurements, formally characterized in terms of linear matrix inequalities, we design an online switched controller that alternates between a mode detection phase and a stabilization phase. Since the specific currently-active mode is unknown, the controller employs the most recent online measurements to determine it by implementing computationally efficient tests that check compatibility with the set of systems consistent with the pre-collected measurements. The stabilization phase applies the stabilizing feedback gain corresponding to the identified active mode and monitors the evolution of the associated Lyapunov function to detect switches. When a switch is detected, the controller returns to the mode-detection phase. Under average dwell- and activation-time assumptions on the switching signal, we show that the proposed controller guarantees a practical stability property of the closed-loop switched system. Various simulations illustrate our results.

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Control theory (sociology) Dwell time Computer science Lyapunov function Controller (irrigation) Mode (computer interface) Linear system Mathematics Control (management) Nonlinear system Artificial intelligence Agronomy Quantum mechanics Physics Biology Clinical psychology Mathematical analysis Medicine Operating system

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2303.11489
PDF: https://arxiv.org/pdf/2303.11489
OA Status: green
Cited By: 3
Related Works: 10
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DOI: https://doi.org/10.48550/arxiv.2303.11489

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Title: Data-driven mode detection and stabilization of unknown switched linear systems

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Language: en

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Publication year: 2023

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Publication date: 2023-03-20

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Authors: Jaap Eising, Shenyu Liu, Sònia Martínez, Jorge Cortés

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Landing page: https://arxiv.org/abs/2303.11489

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Concepts: Control theory (sociology), Dwell time, Computer science, Lyapunov function, Controller (irrigation), Mode (computer interface), Linear system, Mathematics, Control (management), Nonlinear system, Artificial intelligence, Agronomy, Quantum mechanics, Physics, Biology, Clinical psychology, Mathematical analysis, Medicine, Operating system

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Cited by: 3

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Citations by year (recent): 2024: 1, 2023: 2

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