2024
DOI: 10.1109/tac.2023.3341767
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PI Control for the Cascade Channels Modeled by General Saint-Venant Equations

Amaury Hayat,
Yating Hu,
Peipei Shang

Abstract: The Input-to-State Stability of the non-horizontal cascade channels with different arbitrary cross section, slope and friction modeled by Saint-Venant equations is addressed in this paper. The control input and measured output are both on the collocated boundary. The PI control is proposed to study both the exponential stability and the output regulation of the closed-loop systems with the aid of Lyapunov approach. An explicit quadratic Lyapunov function as a weighted function of a small perturbation of the no… Show more

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