Optimal Distributed Control of Spatially Invariant Time Varying Linear Systems
Abstract
In this paper, the optimal distributed linear time varying H2 control problem for cone causal spatially invariant linear time varying (SILTV) systems is considered. This class of systems was initially defined in the work of Voulgaris et al. for cone causal spatially invariant (SI) linear time invariant (LTI) systems. First, the optimal time varying H2 problem is posed using a version of the Youla parameterization. This allows to transform the problem into an affine form which results in a convex but infinite dimensional distributed optimization. Next, the problem is solved by computing an operator projection on a class of time varying Youla parameters with a cone causal distributed structure. The cone causal spatially invariant systems are viewed as input-output multiplicative operators with a mixed causal time varying structure with respect to time, and spatially invariant with respect to the space dimension.
- Authors:
-
- ORNL
- University of Tennessee, Knoxville (UTK)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1493994
- DOE Contract Number:
- AC05-00OR22725
- Resource Type:
- Conference
- Resource Relation:
- Conference: The 57th IEEE Conference on Decision and Control (CDC 2018) - Miami, Florida, United States of America - 12/17/2018 10:00:00 AM-12/19/2018 10:00:00 AM
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Djouadi, Seddik M., Telsang, Bhagyashri, Taousser, Fatima Z., and Olama, Mohammed M. Optimal Distributed Control of Spatially Invariant Time Varying Linear Systems. United States: N. p., 2019.
Web. doi:10.1109/CDC.2018.8618865.
Djouadi, Seddik M., Telsang, Bhagyashri, Taousser, Fatima Z., & Olama, Mohammed M. Optimal Distributed Control of Spatially Invariant Time Varying Linear Systems. United States. https://doi.org/10.1109/CDC.2018.8618865
Djouadi, Seddik M., Telsang, Bhagyashri, Taousser, Fatima Z., and Olama, Mohammed M. 2019.
"Optimal Distributed Control of Spatially Invariant Time Varying Linear Systems". United States. https://doi.org/10.1109/CDC.2018.8618865. https://www.osti.gov/servlets/purl/1493994.
@article{osti_1493994,
title = {Optimal Distributed Control of Spatially Invariant Time Varying Linear Systems},
author = {Djouadi, Seddik M. and Telsang, Bhagyashri and Taousser, Fatima Z. and Olama, Mohammed M.},
abstractNote = {In this paper, the optimal distributed linear time varying H2 control problem for cone causal spatially invariant linear time varying (SILTV) systems is considered. This class of systems was initially defined in the work of Voulgaris et al. for cone causal spatially invariant (SI) linear time invariant (LTI) systems. First, the optimal time varying H2 problem is posed using a version of the Youla parameterization. This allows to transform the problem into an affine form which results in a convex but infinite dimensional distributed optimization. Next, the problem is solved by computing an operator projection on a class of time varying Youla parameters with a cone causal distributed structure. The cone causal spatially invariant systems are viewed as input-output multiplicative operators with a mixed causal time varying structure with respect to time, and spatially invariant with respect to the space dimension.},
doi = {10.1109/CDC.2018.8618865},
url = {https://www.osti.gov/biblio/1493994},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Feb 01 00:00:00 EST 2019},
month = {Fri Feb 01 00:00:00 EST 2019}
}
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