PREDICTIVE CONTROL BY DISTRIBUTED PARAMETER SYSTEMS BLOCKSET FOR MATLAB & SIMULINK
Simulation of model predictive control of casting mold temperature field is presented. Temperature fields of the mould have been modeled and studied using a finite element method based software package, ProCAST, and numerical models in the form of lumped-input/distributed-output systems have been obtained. For model predictive control synthesis the Model Predictive Control Toolbox was used. Simulation have been realized using the Distributed Parameter Systems Blockset for MATLAB & Simulink, which is a third-party MathWorks product.
Control of Real Distributed Parameter Systems Modeled by COMSOL Multiphysics
In the paper, first a basic concept of the engineering approach for modeling and control of distributed parameter systems based on interpretation of controlled systems as lumped input and distributed parameter output systems is introduced. Next, finite element method modeling of temperature fields in casting mould and extruder body as two various real distributed parameter systems by means of the software environment COMSOL Multiphysics is demonstrated. Obtained characteristics either in stationary or transient form 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 systems of control are arranged. Finally, after simulation, real-time control of temperature field in casting mould is realized and for extruder body also block scheme for co-simulation joining COMSOL Multiphysics and MATLAB & Simulink software environment is prepared and control process is executed.
Design of distributed parameter systems of control
Abstract Distributed parameter systems in engineering practice can be very often interpreted as lumped input and distributed output systems. Lumped input and distributed output systems theory results offer practically the same possibilities for distributed parameter systems control as lumped parameter systems control theory for lumped parameter systems. In this paper a potential of the theory for distributed parameter systems of control design is shown.