@inproceedings{a95e5ec13d6c455f87747fd9bc0661ec,
title = "SOS for systems with multiple delays: Part 1. H optimal control",
abstract = "We propose an LMI-based solution to the problem of H-{\infty}-\mathbf{optimal}state-feedback control of systems with multiple state delays. This result is based on a generalization of the LMI framework to infinite-dimensional systems using the recently developed PQRS framework. The H-{\infty}norm bounds are certified using Lyapunov-Krasovskii functionals and do not rely on discretization. The algorithms are scalable to large numbers of states and delays and accurate to at least 4 decimal places when compared with Pade-based methods. We include efficient implementations of the proposed controllers for realtime control and provide a user-friendly interface available online via Code Ocean.",
author = "Peet, {Matthew M.} and Keqin Gu",
year = "2019",
month = jul,
doi = "10.23919/acc.2019.8814856",
language = "English (US)",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3849--3856",
booktitle = "2019 American Control Conference, ACC 2019",
note = "2019 American Control Conference, ACC 2019 ; Conference date: 10-07-2019 Through 12-07-2019",
}