Stability of linear density-flow hyperbolic systems under PI boundary control

• Autores: Georges Bastin, Jean-Michel Coron, Simona Oana Tamasoiu
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 53, 2015, págs. 37-42
• Idioma: inglés
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• Resumen
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    We consider a class of density-flow systems, described by linear hyperbolic conservation laws, which can be monitored and controlled at the boundaries. These control systems are open-loop unstable and subject to unmeasured flow disturbances. We address the issue of feedback stabilization and disturbance rejection under PI boundary control. Explicit necessary and sufficient stability conditions in the frequency domain are provided.