Abstract
This paper described the first experimental implementation of the newly developed internal resonance (IR) vibration suppression technique by using a solid state controller. The controller is built with analog electronic circuitry to represent a damped second order system which is coupled to the plant via quadratic non-linearities. At internal resonance, the non-linear terms act as a bridge, resulting in an enhanced transfer of energy between the plant mode and the controller mode. This transfer of energy mechanism is subsequently utilized to suppress the plant's oscillations. The controller is initially tested through experiments in which the response of a second order oscillatory circuit is regulated. Thereafter, the strategy is implemented on an apparatus consisting of a DC motor equipped with position feedback. The main purpose of the experiment is to apply the IR technique on a simple oscillatory plant. A parametric investigation is carried out in which the strategy is studied through two energy dissipation approaches, and under different plant characteristics. Experimental results are found to agree qualitatively with the theoretical work.
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