Mathematical modeling of the car speed control system

Abstract

Abstract. Problem. Speed control systems are used to ensure road safety and improve vehicle efficiency by controlling traffic speed. The main purpose of the speed control system is to ensure road safety, increase vehicle efficiency and reduce the negative impact of transport on the environment by controlling the speed of traffic. Reducing speed allows drivers to react in time to unforeseen situations, stop at traffic lights, and reduce the distance to other vehicles. In this paper, we have carried out mathematical modeling of a vehicle speed control system. Goal. As a result of the analysis, the purpose of the study was highlighted: to carry out mathematical modeling of the car speed control system. Job tasks: to model the speed control system using a proportional regulator and a PID controller. Methodology. Initially, we considered a vehicle speed control system using a proportional regulator. In the process of synthesis, it was found that the use of a P-controller provides insufficiently good quality of the vehicle speed control system. It was decided to use a PID controller to synthesize the speed control system. Results. The result of the study is: optimized settings of the PID controller provide a given control time tp≈40 s with practically no overshoot, which is a completely satisfactory quality of this system. Originality. The originality lies in the fact that a PID controller with an NCD block was used to determine the transient function of the system with optimal settings. Practical value. The use of the proposed results indicates the possibility of using a PID controller to ensure the set parameters.