Abstract
The paper proposes a procedure for design of PI controllers for hydraulic systems with long transmission lines which are described by models of high order. Design is based on the combination of the IE criterion and engineering specifications (settling time and relative stability) as well as on the application ofD-decomposition. In comparison with some known results, the method is of graphical character, and it is very simple (solving nonlinear algebraic equations is eliminated). The paper presents the algorithm of software procedure for design of the controller. The method is compared with other methods at the level of simulation, and its superiority is shown. By applying the Nyquist criterion, it is shown that the method possesses robustness in relation to non modelled dynamics.
Highlights
The first heuristic rules for selection of parameters of the PI controller were given by Ziegler and Nichols in 1942 [1]
Reference [13] gives the procedure for synthesis of the P controller based on the generalized Nyquist criterion for hydraulic systems with long transmission lines described by models of high order
This paper proposes the procedure for design of the PI controller for systems of high order
Summary
The first heuristic rules for selection of parameters of the PI controller were given by Ziegler and Nichols in 1942 [1]. Reference [13] gives the procedure for synthesis of the P controller based on the generalized Nyquist criterion for hydraulic systems with long transmission lines described by models of high order. Such a type of controllers cannot eliminate the static error of control. The result is extended by introducing engineering specifications (settling time and relative stability) It results in a simple and efficient procedure for design of the PI controller for systems of high order. The fourth chapter presents the results of comparative analysis of the proposed method for design of the PI controller and other methods, showing the superiority of the method proposed in this paper
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