Output regulation for a cascaded network of 2 × 2 hyperbolic systems with PI controller

• Autores: Ngoc-Tu Trinh, Vincent Andrieu, Cheng-Zhong Xu
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 91, 2018, págs. 270-278
• Idioma: inglés
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• Resumen

  • We are concerned with the PI control/regulation design for a cascaded network of multi systems governed by hyperbolic partial differential equations. The PI controllers have both control inputs and measured outputs situated on the junctions. The stability analysis of closed-loop network is carried out in the topology by using the Lyapunov direct method. Then the output regulation is proven based on the stability of closed-loop systems. We finally work out detailed PI controller design for a practical cascaded network of hydraulic Saint-Venant models as well as numerical simulations to validate theoretical results.