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

Alexander Schaum, Jaime A. Moreno, Emilia Fridman, Jesus Alvarez

Research output: Contribution to journalArticlepeer-review

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

Keywords

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

All Science Journal Classification (ASJC) codes

  • General Chemical Engineering
  • Mechanical Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Biomedical Engineering

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