Active vibration control of a 2-mass system using μ-synthesis with a descriptor form representation

M Hirata, KZ Liu, T Mita - Control Engineering Practice, 1996 - Elsevier
A 2-mass system connected by a non-ideal shaft has resonance modes, and it is difficult to
design a controller suppressing the vibration in the face of parameter variation. This paper
proposes a method of μ-synthesis based on the descriptor form representation to deal with
parameter uncertainties independently. First, a class of parameter uncertainty given in the
descriptor form is considered, and the paper shows how to achieve robust stability and
robust performance for this class of perturbed systems. Then this method is applied to a 2 …
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