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

Fingerprint

State feedback
User interfaces
Feedback control
Controllers

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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..

SOS for systems with multiple delays : Part 1. H optimal control. / Peet, Matthew; Gu, Keqin.

2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3849-3856 8814856 (Proceedings of the American Control Conference; Vol. 2019-July).

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

Peet, M & Gu, K 2019, SOS for systems with multiple delays: Part 1. H optimal control. in 2019 American Control Conference, ACC 2019., 8814856, Proceedings of the American Control Conference, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 3849-3856, 2019 American Control Conference, ACC 2019, Philadelphia, United States, 7/10/19.
Peet M, Gu K. SOS for systems with multiple delays: Part 1. H optimal control. In 2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3849-3856. 8814856. (Proceedings of the American Control Conference).
Peet, Matthew ; Gu, Keqin. / SOS for systems with multiple delays : Part 1. H optimal control. 2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 3849-3856 (Proceedings of the American Control Conference).
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