Study of robust stability of indoor temperature control system

Abstract

The stages of design and study of the indoor temperature control system have been considered. An assessment of the possibilities of the indoor temperature control of a discrete model of the control system has been carried out. The transfer function of the control object with interval coefficients of the numerator and denominator polynomials taking into account possible ranges of change of the greatest time constant responsible for the enclosing structures has been obtained. The applied graphical method of studying the obtained system has provided an output of the family of root trajectories on a complex plane and visually demonstrated absolute and robust absolute stability of the automatic temperature control system. The simulation carried out in the MATLAB system has confirmed the correctness of the results obtained.