Distance Measures for Strong Observability and Strong Detectability of Systems with Direct Feedthrough

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Abstract

This letter presents distance measures for strong observability and strong detectability of linear, time-invariant systems with direct feedthrough. In contrast to standard binary criteria, the proposed measures allow to quantify these properties numerically. An optimization based approach for calculating these measures is derived. Meaningful conditions for such measures are introduced and the properties of the proposed measures regarding these conditions are analyzed. In order to demonstrate their usefulness, the measures are applied to optimal sensor placement for reconstruction of unknown forces on a mechanical structure.
Original languageEnglish
Article number9122594
Pages (from-to)565-570
Number of pages6
JournalIEEE Control Systems Letters
Volume5
Issue number2
DOIs
Publication statusPublished - 2021

Keywords

  • Linear systems
  • Observers for linear systems
  • observers for linear systems

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering

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