Automatica, Vol.91, 270-278, 2018
Output regulation for a cascaded network of 2 x 2 hyperbolic systems with PI controller
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 L-2 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 n hydraulic Saint-Venant models as well as numerical simulations to validate theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.
Keywords:Hyperbolic PDE systems;Lyapunov functional;Exponential stability;PI controllers;Saint-Venant equations;Cascaded network;Output regulation