skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [1];  [2]; ORCiD logo [1]
  1. ORNL
  2. 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}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:

Works referenced in this record:

On the distributed control of spatially invariant systems
conference, December 2015


Optimal Performance of Networked Control Systems with Nonclassical Information Structures
journal, January 2009


Information structures in optimal decentralized control
conference, December 2012


Operator theoretic approach to the optimal distributed control problem for spatially invariant systems
conference, July 2015


Disturbance rejection and robustness for LTV Systems
conference, January 2006


A Characterization of Convex Problems in Decentralized Control$^ast$
journal, February 2006


Identifying tractable decentralized control problems on the basis of information structure
conference, September 2008


Correction to "Team decision theory and information structures in optimal control problems," Parts I and II
journal, June 1972


Optimal controllers for spatially invariant systems with delayed communication requirements
journal, December 2003


Duality of the optimal distributed control for spatially invariant systems
conference, June 2014


Optimal Control Strategies in Delayed Sharing Information Structures
journal, July 2011