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Direct data-driven design of switching controllers

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Switching linear models can be used to represent the behavior of hybrid, time-varying, and nonlinear systems, while generally providing a satisfactory trade-off between accuracy and complexity. Although several control design techniques are available for such models, the effect of modeling errors on the closed-loop performance has not been formally evaluated yet. In this paper, a data-driven synthesis scheme is thus introduced to design optimal switching controllers directly from data, without needing a model of the plant. In particular, the theory will be developed for piecewise affine controllers, which have proven to be effective in many real-world engineering applications. The performance of the proposed approach is illustrated on some benchmark simulation case studies.

Original languageEnglish
Pages (from-to)6042-6072
Number of pages31
JournalInternational Journal of Robust and Nonlinear Control
Volume30
Issue number15
DOIs
Publication statusPublished - 1 Oct 2020
Externally publishedYes

Bibliographical note

Funding Information:
The work of V. Breschi and S. Formentin has been partially founded by the Lombardia region and the Cariplo foundation, under the project Learning to Control (L2C),no. 2017‐1520.

Funding

The work of V. Breschi and S. Formentin has been partially founded by the Lombardia region and the Cariplo foundation, under the project Learning to Control (L2C),no. 2017‐1520.

Keywords

  • data-driven control
  • model-free control
  • piecewise affine systems
  • switching systems

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