Technical note: Hybrid Loewner Data Driven Control

TL;DR

This paper introduces a hybrid control scheme using the Loewner framework to derive discrete-time controllers from frequency data, ensuring model matching up to the Nyquist frequency, demonstrated through numerical examples.

Contribution

It presents a novel hybrid control method combining data-driven control with the Loewner framework for continuous-to-discrete system matching.

Findings

Effective control law derived from frequency data

Successful numerical validation on examples

Matches continuous-time reference models up to Nyquist frequency

Abstract

This note describes how the Loewner framework can be exploited to create a discrete-time control-law from frequency-data of a continuous-time plant so that their hybrid interconnection matches a given continuous-time reference model up to the Nyquist frequency. The resulting Hybrid Loewner Data Driven Control scheme is illustrated on two numerical examples.