Controller synthesis to achieve robust stability against bicoprime factor uncertainty: an LMI approach

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Abstract

In this paper, a Linear Matrix Inequality approach is presented for synthesizing
controllers that robustly stabilize a plant against Bicoprime Factor uncertainty. Following the development of the general case, non-normalized results, the usefulness of normalized Bicoprime Factorizations is studied in this context and shown to be beneficial in deducing the existence of a robustly stabilizing controller for given robust stability margin. Finally, a numerical example is provided to demonstrate the practical applicability of the developed methodology.
Original languageEnglish
Title of host publicationProceedings of the 21st IFAC World Congress, Berlin, Germany, July 2020
Publication statusAccepted/In press - 7 May 2020

Keywords

  • Robust control
  • H-infinity control
  • Coprime factorization
  • Uncertainty
  • Uncertain linear systems
  • Iterative methods

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