Abstract
We consider the stabilization problem for linear systems of balance laws subject to uncertain gains affecting the boundary conditions and the reaction term. The stabilization is achieved using the supervisory control, a well established approach in finite dimension. In the context where a controller exists for each estimator, the supervisory control with a performance signal built with the boundary output effectively steers the system to the origin. This novel approach is illustrated with a traffic flow control problem modeled by the Aw–Rascle–Zhang equations.
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