Work

Non-parametric system norm estimation of multivariable systems

Year: 2025

Type: article

Abstract: Data-driven estimation of system norms is essential for analyzing, verifying, and designing control systems. Existing data-based methods often do not capture the inter-grid and transient behavior of the system, leading to inaccurate and unreliable system norm estimations. This paper presents a unified approach for accurate and reliable estimation of the H 2 and H ∞ norm with a limited amount of data. The key step is to exploit local parametric models that explicitly incorporate the inter-grid and transient dynamics. The system norm is estimated through the computation of local system norms of the local parametric models within their the local frequency interval. Simulation and experimental results illustrate the effectiveness of the proposed method.

Source: Control Engineering Practice

DOI: 10.1016/j.conengprac.2025.106421

Authors: Paul Tacx, Tom Oomen

Institutions: ASML (Netherlands), Eindhoven University of Technology, Delft University of Technology

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,010

Funders: Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Nederlandse Organisatie voor Toegepast Natuurwetenschappelijk Onderzoek