TY - GEN
T1 - SOS for systems with multiple delays
T2 - 2019 American Control Conference, ACC 2019
AU - Peet, Matthew M.
AU - Gu, Keqin
N1 - Funding Information:
M. Peet is with the School for the Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, 85298 USA. e-mail: mpeet@asu.edu This work was supported by the National Science Foundation under grants No. 1301660, 1538374 and 1739990.
Publisher Copyright:
© 2019 American Automatic Control Council.
PY - 2019/7
Y1 - 2019/7
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.
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U2 - 10.23919/acc.2019.8814856
DO - 10.23919/acc.2019.8814856
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.
Y2 - 10 July 2019 through 12 July 2019
ER -