Robust data-driven feedback control with pole placement constraints

Mousumi Mukherjee, Vikas Kumar Mishra, Naim Bajcinca

Research output: Contribution to journalConference articlepeer-review

Abstract

We consider the problem of designing feedback controllers, using measured data, such that the eigenvalues of the closed-loop system lie in a predefined stability region D of the complex plane. We consider a general convex region D defined by a quadratic matrix inequality (QMI). First, considering the case of noise-free input/state data we provide non-conservative design conditions in terms of data-based linear matrix inequalities. For the case when the input/state data are affected by noise, the data-based design conditions are only sufficient. We further discuss the case of noise-free input/output data. We illustrate our results with a numerical example.

Original languageEnglish
Pages (from-to)232-237
Number of pages6
JournalIFAC-PapersOnLine
Volume58
Issue number21
DOIs
StatePublished - 1 Sep 2024
Externally publishedYes
Event4th IFAC Conference on Modelling, Identification and Control of Nonlinear Systems, MICNON 2024 - Lyon, France
Duration: 4 Sep 20246 Sep 2024

Keywords

  • D-stabilization
  • Data-driven control
  • linear matrix inequalities
  • robust control

ASJC Scopus subject areas

  • Control and Systems Engineering

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