Controllers Synthesis Algorithms in the Construction of Discrete Control Systems for Technological Objects

Abstract

Algorithms for the synthesis of controllers in the construction of dis- crete control systems for technological objects are given. Algorithms for construct- ing state-based stabilizing vector controllers for discrete dynamic objects based on AQ1 linear matrix inequalities have been developed. The algorithms make it possible to ensure that the requirements for the quality of regulation are met, with the steady values of the controlled parameters exactly falling within the specified tolerances and under the action of limited external disturbances on the system. Algorithms for the synthesis of discrete controllers in nonlinear control systems are proposed, AQ2 taking into account the delay. The algorithms ensure the asymptotic stability of a closed discrete-continuous system and make it possible to predict the state of the system at each discretization step. Algorithms for estimating the parameters of controller settings based on active adaptation have been developed. Based on the algorithms for the synthesis of the developed controllers, a system for adap- tive control of the parameters of the technological process of drying potassium chloride is proposed.