Robust structured H2 synthesis for linear systems subject to time-invariant uncertainties with global optimization

Dominique Monnet, Jordan Ninin, Benoit Clement

Research output: Contribution to journalConference articlepeer-review

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Abstract

This paper proposes a new way to solve the structured H2 synthesis problem under time invariant plant uncertainties. A worst-case minimization approach enables to formulate the synthesis problem as a min-max problem subject to quantified constraints. We propose a global optimization algorithm based on Interval Analysis to solve this problem. This algorithm provides an upper and a lower bound on a worst-case H2 norm objective function. The originality of the paper relies on the reformulation of the optimization problem as a min-max problem, providing bounds on the worst-case H2 norm.
Original languageEnglish
Pages (from-to)341-347
Number of pages7
JournalIFAC-PapersOnLine
Volume54
Issue number16
DOIs
Publication statusPublished - 2021

Keywords

  • Global optimisation
  • H -norm
  • Robust control

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