Supervisory switching control for linear hyperbolic systems

• Autores: Pierre Lamare
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 105, 2019, págs. 64-70
• Idioma: inglés
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• Resumen

  • 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.