Estimating Parameters in a Lumped Parameter System with First Principle Modeling and Dynamic Experiments

Abstract Commercially available mechanical systems are available to teach and demonstrate the principles behind dynamics and control. A single system can be used for basic dynamic analysis in an undergraduate class to teaching and applying sophisticated identification techniques in a graduate class. In this paper it shown how a commercial system is used at the undergraduate level to estimate lumped parameter coefficients using multiple step responses and first principle modeling. At the graduate level. the same commercial system is used to teach concepts of system identification for the estimation of models for a multi-degree of freedom mechanical system.