Modern control theory has broad application prospects， control theory since the birth of the fact that it has powerful vitality， it is not only the development of automation subject， economics development made important Economists will control theory and method is applied to the economic system motion regularity and control methods of research， has achieved fruitful This paper gives the inflation rate and the unemployment rate model of the background and the state space model of the model， stability， controllability， reachability and observability， and pure gain feedback controller for solving the This paper also uses MATLAB to the system parameter estimation， the equation can be obtained more than 70% of the estimated value of the According to the estimated parameters， the system is simulated by the system， the simulation curve
