Sos for systems with multiple delays: Part 2. H∞-optimal estimation

Matthew M. Peet; Keqin Gu

doi:10.23919/acc.2019.8815235

Sos for systems with multiple delays: Part 2. H_∞-optimal estimation

Matthew M. Peet, Keqin Gu

Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

In this paper, we develop an SOS-based approach for design of observers for time-delay systems. The method is an extension of recently developed algorithms for control of infinite-dimensional systems. The observers we design are more general than the class of observers most commonly associated with time-delay systems in that they directly correct both the estimate of present state and the history of the state. As a result, the observer is itself a PDE. In this case the traditional notions of strong and weak observability do not apply and the resulting observer-based controllers can significantly outperform existing approaches.

Original language	English (US)
Title of host publication	2019 American Control Conference, ACC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3870-3876
Number of pages	7
ISBN (Electronic)	9781538679265
DOIs	https://doi.org/10.23919/acc.2019.8815235
State	Published - Jul 2019
Event	2019 American Control Conference, ACC 2019 - Philadelphia, United States Duration: Jul 10 2019 → Jul 12 2019

Publication series

Name	Proceedings of the American Control Conference
Volume	2019-July
ISSN (Print)	0743-1619

Conference

Conference	2019 American Control Conference, ACC 2019
Country/Territory	United States
City	Philadelphia
Period	7/10/19 → 7/12/19

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.23919/acc.2019.8815235

Cite this

Sos for systems with multiple delays: Part 2. H_∞-optimal estimation. / Peet, Matthew M.; Gu, Keqin.
2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3870-3876 8815235 (Proceedings of the American Control Conference; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Peet, MM & Gu, K 2019, Sos for systems with multiple delays: Part 2. H_∞-optimal estimation. in 2019 American Control Conference, ACC 2019., 8815235, Proceedings of the American Control Conference, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 3870-3876, 2019 American Control Conference, ACC 2019, Philadelphia, United States, 7/10/19. https://doi.org/10.23919/acc.2019.8815235

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note = "Funding Information: This work was supported by the National Science Foundation under grants No. 1301660, 1538374 and 1739990. Publisher Copyright: {\textcopyright} 2019 American Automatic Control Council.; 2019 American Control Conference, ACC 2019 ; Conference date: 10-07-2019 Through 12-07-2019",

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