MIMO control performance monitoring using left/right diagonal interactors

Jie YU, S. Joe QIN*

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

29 Citations (Scopus)


Although the minimum variance control (MVC) benchmark is popular for control performance monitoring, the requirement of a general interactor for multivariable processes is equivalent to knowing the Markov parameters, which is inconvenient in practice. To reduce the model requirement of a general interactor, a right diagonal interactor matrix is first used for a class of MIMO processes. Then a solution to the MIMO MVC benchmark is developed using the right diagonal interactor. Next, both the left and right diagonal interactors are integrated to characterize the complex time-delay structure of an extended class of multivariate processes. The factorization of the combined left/right diagonal interactors and the corresponding MVC benchmark estimation are also presented. The advantages of the new approach lie in the reduced a priori process knowledge and the simplified numerical procedures. A number of simulated examples are provided to illustrate the validity and effectiveness of the proposed performance monitoring approach. © 2009 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1267-1276
Number of pages10
JournalJournal of Process Control
Issue number8
Early online date5 Apr 2009
Publication statusPublished - Sept 2009
Externally publishedYes

Bibliographical note

Financial support for this work from the National Science Foundation under DMI-0432433 and Weyerhaeuser Company through sponsorship of the Texas-Wisconsin Modeling and Control Consortium is gratefully acknowledged.


  • Control performance monitoring
  • Left/right diagonal interactors
  • Minimum variance control
  • Multivariable time-delay structure


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