Abstract
We construct finite-dimensional observers for a one-dimensional reaction-diffusion system with boundary measurements subject to time-delays and data sampling. The system has a finite number of unstable modes approximated by a Luenberger-type observer. The remaining modes vanish exponentially. For a given reaction coefficient, we show how many modes one should use to achieve a desired rate of convergence. The finite-dimensional part is analyzed using appropriate Lyapunov-Krasovskii functionals that lead to linear matrix inequalitie (LMI)-based convergence conditions feasible for small enough time-delay and sampling period. The LMIs can be used to find appropriate injection gains.
| Original language | English GB |
|---|---|
| Article number | 8502078 |
| Pages (from-to) | 3385-3390 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 64 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2019 |
Keywords
- Boundary measurements
- data sampling
- observers
- partial differential equations
- time-delays
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
Fingerprint
Dive into the research topics of 'Boundary Observers for a Reaction-Diffusion System Under Time-Delayed and Sampled-Data Measurements'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver