Relative time-averaged gain array (RTAGA) for distributed control-oriented network decomposition

Wentao Tang, Davood Babaei Pourkargar, Prodromos Daoutidis

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


Input-output partitioning for decentralized control has been studied extensively using various methods, including those based on relative gains and those based on relative degrees and sensitivities. These two concepts are characterizations of long-time and short-time input-output response, respectively. A unifying new input-output interaction measure, called relative time-averaged gain, which characterizes the input-output interactions during a time scale of interest for linear time-invariant systems is proposed. This measure is used as a basis for community detection in the input-output bipartite graph of a process network to produce subnetworks whose responses are weakly coupled in the time scale of interest. As such, the resulting decomposition accounts for both response characteristics and the network topology, and can be used efficiently for distributed control architecture design. In a case study, the proposed decomposition is applied to the distributed model predictive control of a reactor-separator benchmark process.

Original languageEnglish (US)
Pages (from-to)1682-1690
Number of pages9
JournalAIChE Journal
Issue number5
StatePublished - May 2018

Bibliographical note

Funding Information:
The financial support by NSF-CBET is gratefully acknowledged.

Publisher Copyright:
© 2018 American Institute of Chemical Engineers


  • distributed control
  • network decomposition
  • plant-wide control
  • relative gain


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