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Distributed Adaptive Control for Uncertain Networks

Renganathan, Venkatraman LU ; Rantzer, Anders LU orcid and Kjellqvist, Olle LU orcid (2024)
Abstract
Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain parameter possibly taking finite number of values. To hedge against this uncertainty, each node in the network collects the historical data of its neighbouring nodes to decide its control action along its edges by finding the parameter that best describes the observed disturbance trajectory. Our proposed distributed adaptive controller is scalable and we give both lower and upper bounds for its l2 gain. Numerical simulations demonstrate that once each node has sufficiently estimated its local uncertainty, the... (More)
Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain parameter possibly taking finite number of values. To hedge against this uncertainty, each node in the network collects the historical data of its neighbouring nodes to decide its control action along its edges by finding the parameter that best describes the observed disturbance trajectory. Our proposed distributed adaptive controller is scalable and we give both lower and upper bounds for its l2 gain. Numerical simulations demonstrate that once each node has sufficiently estimated its local uncertainty, the distributed minimax adaptive controller behaves like the optimal distributed H infinity controller in hindsight. (Less)
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author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
in press
subject
host publication
Distributed Adaptive Control for Uncertain Networks
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
project
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
969824a5-e002-4b50-bc62-6bcd92ef07ed
date added to LUP
2024-03-05 20:42:23
date last changed
2024-03-11 09:44:10
@inproceedings{969824a5-e002-4b50-bc62-6bcd92ef07ed,
  abstract     = {{Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain parameter possibly taking finite number of values. To hedge against this uncertainty, each node in the network collects the historical data of its neighbouring nodes to decide its control action along its edges by finding the parameter that best describes the observed disturbance trajectory. Our proposed distributed adaptive controller is scalable and we give both lower and upper bounds for its l2 gain. Numerical simulations demonstrate that once each node has sufficiently estimated its local uncertainty, the distributed minimax adaptive controller behaves like the optimal distributed H infinity controller in hindsight.}},
  author       = {{Renganathan, Venkatraman and Rantzer, Anders and Kjellqvist, Olle}},
  booktitle    = {{Distributed Adaptive Control for Uncertain Networks}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Distributed Adaptive Control for Uncertain Networks}},
  year         = {{2024}},
}