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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2018

Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs

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Résumé

We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to the classical trade-off between convergence rate and delay-robustness. More precisely, we prove that, for systems with strong reflections, canceling the reflection at the actuated boundary will yield zero delay-robustness. Indeed, for such systems, using a backstepping-controller, the corresponding target system should preserve a small amount of this reflection to ensure robustness to a small delay in the loop. This implies, in some cases, giving up finite time convergence.
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hal-01585911 , version 1 (12-09-2017)

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Jean F Auriol, Ulf J.F Aarsnes, Philippe Martin, Florent Di Meglio. Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs. IEEE Transactions on Automatic Control, 2018. ⟨hal-01585911⟩
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