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 mathcal{L} {2} (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.

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

Ferrante F.
;
2019

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 mathcal{L} {2} (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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1500814
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