Analysis of an Automatic Control System based on Linear Controllers and MPC Controller

Abstract

Currently, most industrial projects use simple linear controllers to control systems. Such controllers cannot provide flexible control of variables. In turn, intelligent control systems have more advantages than linear controllers. The complex mathematical apparatus technique of intelligent systems limits their use in industry. In this article, the comparison of automatic control systems for an objects with self-adjusting based on PI (Proportional Integral) controller, PID (Proportional Integral Differential) controller and MPC (Model predictive) controller are considered. During the research, the control object was described by the second-order transfer function. The advantages and characteristics of controllers are described. The parameters of linear controllers and MPC controller were determined based on the structure of the control object. A mathematical model is constructed using the application Matlab (Fig. 3). Based on the mathematical model, step responses were obtained when a control activation (Fig. 4) and various disturbing action (Fig. 5, 6, 7). The quality and stability of system are analyzed by comparing the overshoots and response times of different step responses.