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

Francesco Ferrante (1) , Christophe Prieur (1)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

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.

Mots clés: Disturbance compensation; Partial difference Equations PdEs; Linear Matrix Inequalities LMI; Control Design

Domaines: Automatique; Equations aux dérivées partielles [math.AP]; Systèmes dynamiques [math.DS]

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