Youla parameterized adaptive regulation against sinusoidal exogenous inputs applied to a benchmark problem

Motivated by practical applications such as active vibration control and noise attenuation, this paper presents an adaptive Youla (Q) parameterized regulation approach to reject unknown sinusoidal exogenous inputs representing disturbance or reference signals. A weighted Ritz-type Q parameter is adopted to implement the adaptation algorithm and to shape the sensitivity functions of the resulting adaptive system. The proposed regulation approach is applied to a benchmark problem involving unknown vibration attenuation in an active suspension system. Both simulation and real time experimental results are discussed and analyzed to illustrate the effectiveness of the proposed adaptive regulation approach.