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

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.

arXiv commentSubmitted to the 62nd IEEE Conference on Decision and Control

Cited by in corpus (1)

• Data-driven Dissipativity Analysis of Linear Parameter-Varying Systems