Development of a Mathematical Model of Ventilation and Air Conditioning System and Comparison of the Control Process Using PID Controller and Sliding Mode Control

In this article, a nonlinear mathematical model of the ventilation and air conditioning system is constructed, which is considered as a multi-input multi-output control system. The problem of synthesis of linear and nonlinear regulators for this system is considered. A nonlinear regulator is synthesized based on the sliding control mode method and the Lyapunov function method. The stability of a control system with a nonlinear regulator is investigated by the Lyapunov function method. To compare the performance with the above regulator, a linear PID regulator is also built in the article. In this paper presents the results of a comparison using the computing program package MatLab Simulink. The main advantage of these tools is that the simulation environment promises to solve multi-scale tasks related to time and space, while providing flexible communication with controller models. The obtained control simulation results using PID regulators and sliding mode regulators as the basis for choosing the most optimal control method for real objects.