Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs
Optimization and Control
2017-01-10 v1 Systems and Control
Abstract
The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold fashion guarantees closed-loop exponential stability, provided that the sampling period is sufficiently small. Two different continuous-time feedback designs are considered: the reduced model design and the backstepping design. The obtained results provide stability estimates for weighted 2-norms of the state and robustness with respect to perturbations of the sampling schedule is guaranteed.
Cite
@article{arxiv.1701.01955,
title = {Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs},
author = {Iasson Karafyllis and Miroslav Krstic},
journal= {arXiv preprint arXiv:1701.01955},
year = {2017}
}
Comments
22 pages, submitted to Automatica for possible publication