Infinite dimensional modelling of open-channel hydraulic systems for control purposes

This paper provides a new computational method to obtain a frequency domain model of Saint-Venant equations, linearized around any stationary regime, including backwater curves. The obtained model is analyzed by characterizing the maximum achievable performance using inner-outer factorization, and a method to compute the poles of the system is indicated. The paper also provides a way to obtain an accurate rational approximation of the system.