The aim of this work is to present a graphical response analysis of multiple canal pool system using Matlab/Simulink based on unsteady state simulation results. Firstly, it has started by describing the system which is an open-channel hydraulic system (e.g. an irrigation canal). From the discretization and linearization of the set of two partial-derivative equations, a state-space model of the system is generated. The model is a high-order MIMO system (five external perturbations w, five control inputs u, ten controlled outputs z, five measured outputs y, 65 states x) and is non-minimum phase. A controller is then designed by minimizing the norm of the impulse response with the help of time constant relationship of control theory. The constraints of Time-domain are added for minimization error between actual and targeted water levels in canal pools in order to force integrators into the controller. The numerical resolution of the problem proved to be efficient, despite of the characteristics of the system. The results are good in terms of performance and robustness, in particular the steady state of canal system in case of worst-case perturbation.