Adaptive distributed parameter and input estimation in linear parabolic PDEs

Sarra Mechhoud

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper, we discuss the on-line estimation of distributed source term, diffusion, and reaction coefficients of a linear parabolic partial differential equation using both distributed and interior-point measurements. First, new sufficient identifiability conditions of the input and the parameter simultaneous estimation are stated. Then, by means of Lyapunov-based design, an adaptive estimator is derived in the infinite-dimensional framework. It consists of a state observer and gradient-based parameter and input adaptation laws. The parameter convergence depends on the plant signal richness assumption, whereas the state convergence is established using a Lyapunov approach. The results of the paper are illustrated by simulation on tokamak plasma heat transport model using simulated data.
Original languageEnglish (US)
Pages (from-to)674-674
Number of pages1
JournalInternational Journal of Adaptive Control and Signal Processing
Issue number4
StatePublished - Jan 14 2016

ASJC Scopus subject areas

  • Signal Processing
  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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