Notes on Input Design: From Multi-Sine Design to Data-Driven Procedures

We show that a class of optimal input design problems have only discrete spectral measures as solutions. If we fix any finite set of possible frequencies then a randomized version of the resulting convex problem has a unique (sparse) solution with probability 1. We also propose a data-driven approac...

Full description

Saved in:
Bibliographic Details
Published in:IEEE control systems letters 2024, Vol.8, p.1943-1948
Main Authors: Gerencser, Laszlo, Michaletzky, Gyorgy, Bokor, Jozsef, Polcz, Peter
Format: Article
Language:English
Subjects:
Closed loop systems
data-driven modeling
Electronic mail
Noise
performance evaluation
Stochastic processes
System identification
Technological innovation
Transfer functions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show that a class of optimal input design problems have only discrete spectral measures as solutions. If we fix any finite set of possible frequencies then a randomized version of the resulting convex problem has a unique (sparse) solution with probability 1. We also propose a data-driven approach to optimal input design via virtual off-line estimators that coincide with the optimized PE estimator modulo a negligible error, both for open loop and closed loop systems.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2024.3416072