The electric boiler heating system compensated with optothermal medium temperature is a type of system that has attracted much attention in the field of electric energy replacement. Currently

smooth and economic control of this system is a difficult problem to be solved. Thus

this paper firstly establishes the dynamic mathematical model of this system based on lumped parameter method

and combines the system operation mode to identify the control model by particle swarm optimization algorithm. Then

taking the total power consumption as the economic index

an economic control scheme based on feedforward dynamic matrix is proposed. The simulation results show that the scheme makes the heating system more economical and energy-saving while meeting the relevant demands

and has good anti-interference ability.