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

摘要

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 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.