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arXiv · 2304.01859

Unified Behavioral Data-Driven Performance Analysis: A Generalized Plant Approach

L. M. Spin·C. Verhoek·W. P. M. H. Heemels·N. van de Wouw·R. Tóth
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Abstract

In this paper, we present a novel approach to combine data-driven non-parametric representations with model-based representations of dynamical systems. Based on a data-driven form of linear fractional transformations, we introduce a data-driven form of generalized plants. This form can be leveraged to accomplish performance characterizations, e.g., in the form of a mixed-sensitivity approach, and LMI-based conditions to verify finite-horizon dissipativity. In particular, we show how finite-horizon $\ell_2$-gain under weighting filter-based general performance specifications are verified for implemented controllers on systems for which only input-output data is available. The overall effectiveness of the proposed method is demonstrated by simulation examples.

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L. M. Spin, C. Verhoek, W. P. M. H. Heemels, N. van de Wouw, R. Tóth. 2023-04-04. Unified Behavioral Data-Driven Performance Analysis: A Generalized Plant Approach. https://arxiv.org/abs/2304.01859

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