Abstract
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.
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