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In Jacobson, Johnson, Mc Cormick, and Sethares (2001) and Landau, Alma, and Airimiţoaie (2011) adaptation algorithms taking into account the “positive” feedback coupling arising in most of the active noise and vibration control systems have been proposed and analyzed. The stability of the system requires satisfaction of a positive real condition through an appropriate filtering of the regressor vector...
Most of the adaptive feedforward vibration (or noise) compensation systems feature an internal ”positive feedback” coupling between the compensator system and the correlated disturbance measurement which serves as reference. This may lead to the instability of the system. Instead of the standard IIR structure for the adaptive feedforward compensator, the paper proposes a Youla–Kucera parametrization...
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