Development of linear-quadratic-gaussian control of the technological process of fine grinding

The paper is dedicated to research of grinding process in a planetary ball mill. The possibility of continuous control of fineness of grinding with the usage of optimization methods is taken into consideration. The mathematical representation of an object had been built to consider it as the mathematical model. The comparison of given model to data of natural experiments is performed. In the paper, the results of analysis of the main quality points from mathematical model are included. On the model base the linear- quadratic regulator LQG is synthesized, which represents the combination of the Kalman filter The Linear Quadratic Estimation (LQE) along with The Linear Quadratic Estimation (LQR). The regulator is used to achieve the main task – keeping up of strictly defined range in predefined class output by controlling incoming flow in the ball mill. In the paper general enunciation of Linear Quadratic Gaussian (LQG) is described along with the engineering procedures and all necessary hypothesis. The obtained results from modeling of LQG controller are shown.