Design of interval observer for continuous linear large-scale systems with disturbance attenuation

Tao Wang, Yapeng Li, Weiming Xiang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A design method of interval observers for linear continuous large-scale systems is proposed in this paper. The considered systems are subject to disturbances that are assumed to be unknown but bounded. With the aid of continuous Lyapunov functions, the error system of the original system and the interval observer system is asymptotically stable and its state is nonnegative, allowing sufficient conditions for interval observers of large-scale systems to be obtained and expressed as linear matrix inequalities. Furthermore, the L stability theory is used in the design of interval observers for large-scale systems to increase the accuracy of interval estimation. Interval observers design methods are proposed for large-scale systems with L1/L2 gain performance. Two numerical examples are provided to demonstrate our findings.

Original languageEnglish (US)
Pages (from-to)3910-3929
Number of pages20
JournalJournal of the Franklin Institute
Volume359
Issue number8
DOIs
StatePublished - May 2022

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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