Applied system identification
Robust and optimal control
H2 optimal control
Multivariable Feedback Control: Analysis and Design
Multivariable Feedback Control: Analysis and Design
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We consider active damping of smart structures. These control design problems can in principal be tackled with H2 optimal feedback theory. The main problem when applying this or similar modern multichannel feedback control techniques to flexible mechanical structures is the high sensitivity to model uncertainties. This is because of the very low inherent plant damping and the high interactivity of the mulitple-input multiple-output (MIMO) systems. Therefore, accurate plant uncertainty descriptions are crucial in order to arrive at robust but not overly conservative control designs. We present a novel method to derive a non-parametric uncertainty description of the plant model as part of the overall identification process that is immediately suitable for robust stability analysis. Our method is geared to handle models of flexible systems, i.e. high order MIMO models, which is not the case for many other comparable algorithms. Furthermore, we show how the task of active damping can be cast into an H2 optimization problem and provide guidelines for designing the corresponding weighting functions. Experimental results of a smart panel are provided throughout.