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.
['Eduardo Gildin', 'Robert H. Bishop', 'Athanasios C. Antoulas', 'Danny C. Sorensen']
An educational perspective to model and controller reduction of dynamical systems