@inproceedings{4dd77e470c414f7cab752adf45c94256,
title = "Stabilization of diffusion equations under sampled-data spatially averaged measurements",
abstract = "We develop distributed sampled-data control for parabolic systems governed by 1-d semilinear diffusion-convection equations. We suggest a sampled-data controller design, where the sampling intervals in time and in space are bounded. The network of N stationary sensing devices provide spatially averaged state measurements over the sampling spatial intervals. Our sampled-data static output feedback enters the equation through N shape functions (which are localized in the space) multiplied by the corresponding state measurements. Sufficient conditions for the exponential stability of the closed-loop system are derived via direct Lyapunov-Krasovskii method in terms of Linear Matrix Inequalities (LMIs). By solving these LMIs, upper bounds on the sampling intervals that preserve the exponential stability can be found.",
keywords = "Distributed parameter systems, LMIs, Lyapunov method, Sampled-data control",
author = "{Bar Am}, Netzer and Emilia Fridman",
note = "Funding Information: ⋆ This work was partially supported by Israel Science Foundation (grant No 754/10) and by Kamea Fund of Israel.; 7th IFAC Symposium on Robust Control Design, ROCOND'12 ; Conference date: 20-06-2012 Through 22-06-2012",
year = "2012",
doi = "10.3182/20120620-3-DK-2025.00055",
language = "אנגלית",
isbn = "9783902823038",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "PART 1",
pages = "307--312",
booktitle = "ROCOND'12 - 7th IFAC Symposium on Robust Control Design",
address = "אוסטריה",
edition = "PART 1",
}