APPLICATION OF THE EXTENDED FREQUENCY RESPONSE METHOD FOR PARAMETRIC SYNTHESIS OF A PROPORTIONAL-INTEGRAL DIFFERENCE CONTROLLER

Vladimir V. Kulikov, Nikolay N. Kutsy

Irkutsk National Research Technical University

To improve the quality of transients in automatic systems with lag, a PI controller is used with a delay link that compensates for the integral component of the standard PI controller, which is designated in the technical literature as a proportional-integral difference controller (PIR controller). An important task facing the industrial implementation of this controller is to determine the optimal configurable parameters that deliver an extreme value to the accepted optimality criterion. The presence of a delay in the controller and the object makes it difficult to apply analytical approaches for the parametric synthesis of the control law, which provides transients with acceptable quality. This leads to the use of algorithmic methods. The article shows the application of the extended frequency response (RFC) method for the par-ametric synthesis of a PIR controller in a single-circuit automatic control system (ASR) by an object with a delay critical for the use of standard regulators. The RFX method allows you to obtain the values of the configurable parameters of the PIR controller, which in some complex cases can be used as the starting points of the gradient procedure. To assess the quality of the transient processes obtained by the RFC method, the overshoot coefficient and the integral quadratic criterion, which are widely used in the prac-tice of automatic control, are used.

automatic system, transport delay, stability, PI-controller, PIR-controller, extended frequency characteristics method, proportional-integral difference controller, parametric synthesis

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