Sampled-Data Boundary Feedback Control of 1-D Hyperbolic PDEs with Non-Local Terms
Abstract
The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear, first-order, hyperbolic systems with non-local terms on bounded domains. It is shown that the emulation design based on the recently proposed continuous-time, boundary feedback, designed by means of backstepping, guarantees closed-loop exponential stability, provided that the sampling period is sufficiently small. It is also shown that, contrary to the parabolic case, a smaller sampling period implies a faster convergence rate with no upper bound for the achieved convergence rate. The obtained results provide stability estimates for the sup-norm of the state and robustness with respect to perturbations of the sampling schedule is guaranteed.
Keywords
Cite
@article{arxiv.1702.08661,
title = {Sampled-Data Boundary Feedback Control of 1-D Hyperbolic PDEs with Non-Local Terms},
author = {Iasson Karafyllis and Miroslav Krstic},
journal= {arXiv preprint arXiv:1702.08661},
year = {2017}
}
Comments
15 pages, 3 figures, submitted to Systems and Control Letters for possible publication. arXiv admin note: text overlap with arXiv:1701.01955