Data-Driven Control Design by Prediction Error Identification for Multivariable Systems

Daniel D. Huff, Luciola Campestrini, Gustavo R. Gonçalves da Silva, Alexandre S. Bazanella

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)


This paper deals with data-driven control design in a model reference framework for multivariable systems. Based on a single batch of input–output data collected from the process, a fixed structure controller is estimated without using a process model, by embedding the control design problem in the prediction error identification of an optimal controller. This is an extension of optimal controller identification (OCI) for multivariable systems. Even though the multiple-input multiple-output (MIMO) formulation is extended from its single-input single-output version in a natural way, the solution of the optimization problem is rather complex due to the special structure the inverse of the controller assumes in its MIMO version. Comparisons between the OCI and the virtual reference feedback tuning—a well-known data-driven control method—are provided, showing the efficiency of the OCI controller estimate. We also explore the case where the batch of design data is collected in closed loop. Simulated and experimental results show the efficiency of the proposed methodology.

Original languageEnglish
Pages (from-to)465-478
Number of pages14
JournalJournal of Control, Automation and Electrical Systems
Issue number4
Publication statusPublished - 15 Aug 2019
Externally publishedYes


  • Data-driven control
  • Multivariable systems
  • OCI
  • System identification


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