Abstract
This article focuses on systems of quasi-linear first-order hyperbolic partial differential equations with time-varying disturbances, for which the manipulated input and the disturbances are distributed in space. For these systems, we address and solve the problem of complete elimination of the effect of disturbances on the output via distributed state feedback and distributed feedforward/state feedback control laws. Conditions for the solvability of this problem are derived and explicit control laws are synthesized which in addition to elimination of the effect of disturbances on the output, enforce a prespecified input/output response and guarantee stability of the closed-loop system.
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