An educational perspective to model and controller reduction of dynamical systems

In this paper, and educational framework on model and controller reduction techniques arising in the study of dynamical systems is presented. The model reduction problem is posed in a projection framework, and some techniques are shown, such as balanced truncation, and moment matching by Krylov subspace, to obtain reduced-order models and controllers. The practical application of these reduced-order controllers are shown in a control laboratory setup, developed for teaching undergraduate control systems. The implementations were performed using the torsional disks apparatus controlled by LabVIEW.