Abstract
In particular, it is useful to pay attention to control strategies to reduce energy consumption. In this article, the purpose is to regulate and control the temperature and humidity of the air in a room with specific dimensions. The dynamical equations of the HVAC system are presented as equations of temperature and humidity variation. A control system based on LQR optimal control method is designed for this air conditioning system including two heating and cooling operations. Then, after examining the stability of the system based on the Lyapunov stability criterion, and also a temperature control performance index is defined to express and compare the performance of control system with different gains. Finally, by performing the simulation, the control and HVAC system performance is evaluated with the help of defined performance index in the presence of designed algorithm which results show that LQR gains have direct effect on energy consumption and control system performance.
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