Design of constant gain controllers for the hydraulic control system with a long transmission line

Abstract

The paper presents the problems of describing the system of a pump-controlled motor with a long transmission line by means of a mathematical model with lumped parameters where the long transmission line is divided into n segments. The mathematical model thus obtained is of high order but its order is reduced by applying the appropriate methodology, which considerably increases its use value. A P controller was designed for that mathematical model of the system. The graphical method which includes performances (specification of damping of the system) and stability margins was used in the design. Thanks to strong software support, the complexity of synthesis of controllers was considerably reduced in comparison with the methods presented in the literature. Dynamic behavior of the closed loop system was treated in intensive simulation. The methodology applied provides significant energy savings. © Springer-Verlag 2011.