FEM based modelling and PID controllers design for a class of distributed parameter systems

In the paper models of distributed parameter systems in the form of lumped-input/distributed-output systems are introduced and modelling of temperature fields of a melting glass process by using of finite element method in software Environment COMSOL Multiphysics is presented. Obtained distributed characteristics are exported to the MATLAB & Simulink, where lumped and distributed models for control synthesis purpose are created. By means of Distributed Parameter Systems Blockset for MATLAB & Simulink, feedback distributed parameter system of control is arranged, where for chosen PID control synthesis method, simulation of control process of temperature field of melting glass is executed and analyzed.