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 language | English (US) |
|---|---|
| Title of host publication | 2019 American Control Conference, ACC 2019 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 3849-3856 |
| Number of pages | 8 |
| ISBN (Electronic) | 9781538679265 |
| State | Published - Jul 1 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 | United States |
| City | Philadelphia |
| Period | 7/10/19 → 7/12/19 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - SOS for systems with multiple delays
T2 - Part 1. H optimal control
AU - Peet, Matthew
AU - Gu, Keqin
PY - 2019/7/1
Y1 - 2019/7/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85072273434&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85072273434&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85072273434
T3 - Proceedings of the American Control Conference
SP - 3849
EP - 3856
BT - 2019 American Control Conference, ACC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
ER -