Boundary Control Design for Linear Conservation Laws in the Presence of Energy-Bounded Measurement Noise

Francesco Ferrante 1 Christophe Prieur 1
1 GIPSA-SYSCO - SYSCO
GIPSA-DA - Département Automatique
Abstract : Boundary feedback control design for a system of n 1-D linear conservation laws is studied. Sufficient conditions in the form of Lyapunov-like functional inequalities are given to certify the existence of a bound on the L2 (spatial) norm of the state with respect to energy bounded measurement noise. Semidefinite programming techniques are adopted to devise a systematic design algorithm. The effectiveness of the approach is shown in a numerical example.
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Contributor : Francesco Ferrante <>
Submitted on : Tuesday, September 25, 2018 - 11:19:44 AM
Last modification on : Thursday, August 22, 2019 - 11:32:03 AM

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  • HAL Id : hal-01880804, version 1

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Francesco Ferrante, Christophe Prieur. Boundary Control Design for Linear Conservation Laws in the Presence of Energy-Bounded Measurement Noise. 57th IEEE Conference on Decision and Control, IEEE, Dec 2018, Miami, FL, United States. pp.6550-6555. ⟨hal-01880804⟩

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