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arXiv · 1702.08661

Sampled-Data Boundary Feedback Control of 1-D Hyperbolic PDEs with Non-Local Terms

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, 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.

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Iasson Karafyllis, Miroslav Krstic. 2017-02-28. Sampled-Data Boundary Feedback Control of 1-D Hyperbolic PDEs with Non-Local Terms. https://arxiv.org/abs/1702.08661

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