Improving control accuracy in multi-connected digital systems

Abstract

The presented scientific research is relevant, because currently it is necessary to develop and implement modern control systems for technological processes. This allows increasing the accuracy of control in multi-connected digital systems, the mathematical models of which are built on the platform of the state space method. The purpose of this study is to develop a new method for improving control accuracy in multiconnected digital systems. The methodological framework of this study, determined directly for the qualitative solution of the problem, included analytical expressions that functionally not only eliminate the influence of each state and control on the rest, but also ensure high accuracy of control processes. In this scientific study, the results were obtained, standing for a methodical approach to the synthesis of vector-matrix models of regulators using feedback on the state. The vector-matrix model of the controller, combining the function of monitoring and control of feedback on the state was formed. By using computational capabilities of the mathematical apparatus adopted in the study, the matrices of the system regulators and correction coefficients were calculated. The formulated conclusions affect various aspects of the practical application of the method of determining the feedback matrix by state, deriving an analytical formula for determining the correction coefficients to ensure zero steady-state control error, as well as performing the decomposition of a digital system with the definition of a vector-matrix model of a regulator combining the functions of regulation and supervision. The materials and methods of paper fully correspond to the stated subject and can serve as a qualitative methodological basis for following research in this area

Keywords

• state space method
• quality of control processes
• vector-matrix models
• feedback