Design of Controllers With Fixed Order for Hydraulic Control System With a Long Transmission Line

Abstract

This paper presents the problem of describing the system, 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 equal “П” segments. The obtained mathematical model is of high order but by applying the corresponding methodology in this paper, its order will be reduced, which considerably increases its use value. From the aspect of control, here it is important how to solve the problem of control of high order facilities because controllers with fixed order are present in industrial practice (P, PI, PID), and the high order facility should be controlled. This paper represents the beginning of research in defining the methodologies of synthesis of controllers with fixed order for the systems with long transmission lines.