Comparative analysis of discrete aperiodic and optimal controllers for the synthesis of control systems for plants with delay

Abstract

In this work are considered two analytical method of synthesis of control systems for objects with delay: the discrete aperiodic controller offered in R. Izerman's works and the optimal controller received on the basis of square criterion of quality and Bellman's equation. In the synthesis of discrete aperiodic controller sampling period selection in such a way, that the control signal was limited by the maximum allowable value. Synthesis of the optimal controller was carried out on the basis of tracking a reference signal for state space variables. The delay has been expanded in a Pade series of the second order. Estimation of the state-space variables was made by means of the observer calculated on Akkerman's formula on the basis of desired disposition of the poles.