Active vibration control using on-line algebraic identification of harmonic vibrations

In this paper is described the application of an on-line algebraic identification methodology for parameter and signal estimation in vibrating systems. The algebraic identification is employed to estimate the frequency and amplitude of exogenous vibrations affecting the mechanical system using only position measurements. The algebraic identification is combined with an adaptive-like sliding mode control scheme to asymptotically stabilize the system response and, simultaneously, cancel the harmonic vibrations. Numerical and experimental results show the dynamic and robust performance of the algebraic identification and the active vibration control scheme.