Modeling and robust control for a class of two-time-scale systems based on urban drainage system

This note is concerned with the modeling and robust control problem for a class of two-time-scale systems with state delay based on urban drainage system. Firstly, according to urban geographical information system, hydraulic modeling, which are tested easily, are obtained. Then, by introducing singular perturbed system theory, robust D-stability analysis is developed to ensure that the two-time-scale systems are regular, impulse free and D-stable, that is, all its poles are located with a specified disk for all small positive parameter epsilon is an element of(0, epsilon*].