Description and measurement of uncertainty for state-space model of large cascade canal system

Abstract

Automatic control of canal network is a key solution for modern water-saving irrigation, and it is also a vital technique puzzle of the Middle Routine of the South-to-North water transfer project of China. The design of the controller is based on a liner mathematical model deduced from Saint-Venant Equation system, but the S-V Equations are a system of first order partial differential equations. A state-space model of a cascaded canal system is used in this paper to analyze the uncertainty including the uncertainty of the system itself and the uncertainty introduced in the procedure of mode-building. This uncertainty will be a precondition for the design of a robust controller. Using the liner model as the nominal case, the uncertainty is measured by the largest singular value of the distance matrix of the models. At last a simulation case of six canals is given together with quantificational describe of uncertainty.