Output feedback Controller design for HVAC system with delayed based Robust control approach

In this study, we try to control the temperature of a building consisting of four rooms with large time delays. In design process we use Krasovskii- Lyapunov method to guaranteed the stability of time delayed system. Because of difficulty of state estimation, an output feedback controller design method is used. for this purpose, we use linear Matrix Inequalities (LMI) and to solve LMIs, Matlab yalmip toolbox is utilized. Simulation results show that, by using our designed controller, even in presence of delay, uncertainty and disturbance, our system is stable and has proper performance.