MIMO lowly damped system: free-free vibrations of an aluminium tooling plate

Real life problems are always more complicated than expected. What is thought to be a generalised output error stochastic problem (known input, noisy output observations) of a linear system operating in open loop is often an errors-in-variables stochastic problem (noisy input, noisy output observations) of a nonlinear system operating in feedback. In addition, for lowly damped systems a “large” data set can still be “short” compared with the length of the impulse response of the system. The free-free vibrations of an aluminium tooling plate presented in this benchmark problem combine all these difficulties. The benchmark data are available at the IFAC TC1.1 repository http://tc.ifac-control.org/1/1/Data%20Repository.

Keywords:multivariable system, lowly damped, nonparametric estimates, parametric transfer function modelling, errors-in-variables, short data sets, best linear approximation

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