Decentralized volume control of open-channels using H2 norm minimization

A lumped-parameter model is considered for open-channel networks that expresses the dynamic relationship, in terms of state space variables, between gate opening sections and stored water volume variations in the different canal reaches with respect to a reference configuration of uniform flow. A procedure is suggested to approximate a real steady flow condition with an ideal uniform flow configuration. A decentralized control is obtained by determining the state feedback gain matrix, whose structure is imposed to be diagonal, that minimizes the H ₂ norm of a suitable transfer matrix. A numerical validation of the linear model used to synthesize the control law is proposed. A comparison between the behaviour of the linear model and that of the non-linear unsteady one, whose evolution has been determined using the SIC software, is proposed