Output regulation for a cascaded network of 2 \(\times\) 2 hyperbolic systems with PI controller

DOI10.1016/j.automatica.2018.01.010zbMath1387.93091OpenAlexW2791788938MaRDI QIDQ1641075

Ngoc-Tu Trinh, Cheng-Zhong Xu, Vincent Andrieu

Publication date: 14 June 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.01.010

zbMATH Keywords

exponential stabilityoutput regulationLyapunov functionalPI controllersSaint-Venant equationshyperbolic PDE systemscascaded network

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) First-order hyperbolic systems (35L40)

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Cites Work

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• Finite-Time Stabilization of $2\times2$ Hyperbolic Systems on Tree-Shaped Networks

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