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arXiv · 2104.03108

On the one-shot data-driven verification of dissipativity of LTI systems with general quadratic supply rate function

Tábitha E. Rosa·Bayu Jayawardhana
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Abstract

Based on a one-shot input-output set of data from an LTI system, we present a verification method of dissipativity property based on a general quadratic supply-rate function. We show the applicability of our approach for identifying suitable general quadratic supply-rate function in two numerical examples, one regarding the estimation of $\mathcal{L}_2$-gains and one where we verify the dissipativity of a mass-spring-damper system.

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Tábitha E. Rosa, Bayu Jayawardhana. 2021-04-07. On the one-shot data-driven verification of dissipativity of LTI systems with general quadratic supply rate function. https://arxiv.org/abs/2104.03108

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