Abstract
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 language | English (US) |
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Pages (from-to) | 674-674 |
Number of pages | 1 |
Journal | International Journal of Adaptive Control and Signal Processing |
Volume | 30 |
Issue number | 4 |
DOIs | |
State | Published - Jan 14 2016 |
ASJC Scopus subject areas
- Signal Processing
- Control and Systems Engineering
- Electrical and Electronic Engineering