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Matrix inequality-based observer design for a class of distributed transport-reaction systems

  • Alexander Schaum*
  • , Jaime A. Moreno
  • , Emilia Fridman
  • , Jesus Alvarez
  • *Corresponding author for this work
  • Universidad Autónoma Metropolitana
  • Universidad Nacional Autónoma de México

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

The problem of designing a globally exponentially convergent observer for a class of (linear in transport and nonlinear in generation) semi-linear parabolic distributed systems is addressed within a matrix inequality framework, yielding (i) sufficient convergence conditions with physical meaning and (ii) the weight of a Lyapunov functional as design degree of freedom. The proposed approach is illustrated and tested with a representative case example in chemical reaction engineering.

Original languageEnglish
Pages (from-to)2213-2230
Number of pages18
JournalInternational Journal of Robust and Nonlinear Control
Volume24
Issue number16
DOIs
StatePublished - 10 Nov 2014

Funding

FundersFunder number
Israel Science Foundation754/10

    Keywords

    • Matrix inequalities
    • Nonlinear observer design
    • Semi-linear parabolic systems
    • Transport-reaction systems

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