Generalized Nonlinear Stiffness Identification on Controlled Mechanical Vibrating Systems

A new algebraic parametric identification method in time domain for multiple degrees-of-freedom mechanical vibrating systems with high-order nonlinear stiffness is proposed. Parameters of mass, damping and linear and nonlinear stiffness are estimated on-line and, simultaneously, using transient real-time position measurements and active control force signals. Parametric identification can be applied for real-time estimation of both symmetrical and non-symmetrical stiffness. Parametric identification is combined with adaptive planned motion control on Multiple-Input-Multiple-Output nonlinear mechanical vibrating systems. Analytical and numerical results prove the effectiveness and efficiency of the proposed on-line algebraic parametric identification approach.