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arXiv · 1701.01955

Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs

Iasson Karafyllis·Miroslav Krstic
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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.

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BibTeXRIS

Iasson Karafyllis, Miroslav Krstic. 2017-01-08. Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs. https://arxiv.org/abs/1701.01955

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