Title : 
Infinite dimensional modelling of open-channel hydraulic systems for control purposes
         
        
            Author : 
Litrico, Xavier ; Fromion, Vincent
         
        
            Author_Institution : 
Cemagref, Montpellier, France
         
        
        
        
        
        
            Abstract : 
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.
         
        
            Keywords : 
H∞ control; delays; frequency-domain analysis; hydraulic systems; H∞ control; Saint-Venant equations; backwater curves; computational method; frequency domain model; infinite dimensional modelling; inner-outer factorization; open-channel hydraulic systems; rational approximation; time delay systems; Automatic control; Control system synthesis; Control systems; Differential equations; Frequency domain analysis; Friction; Hydraulic systems; Irrigation; Nonlinear equations; Water resources;
         
        
        
        
            Conference_Titel : 
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
         
        
        
            Print_ISBN : 
0-7803-7516-5
         
        
        
            DOI : 
10.1109/CDC.2002.1184762