SOS for systems with multiple delays: Part 1. H optimal control

Matthew Peet, Keqin Gu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publication2019 American Control Conference, ACC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3849-3856
Number of pages8
ISBN (Electronic)9781538679265
StatePublished - Jul 1 2019
Event2019 American Control Conference, ACC 2019 - Philadelphia, United States
Duration: Jul 10 2019Jul 12 2019

Publication series

NameProceedings of the American Control Conference
Volume2019-July
ISSN (Print)0743-1619

Conference

Conference2019 American Control Conference, ACC 2019
CountryUnited States
CityPhiladelphia
Period7/10/197/12/19

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Peet, M., & Gu, K. (2019). SOS for systems with multiple delays: Part 1. H optimal control. In 2019 American Control Conference, ACC 2019 (pp. 3849-3856). [8814856] (Proceedings of the American Control Conference; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc..