Analysis and identification of inertial devices

A hybrid theoretical and experimental model of nonlinear inertial devices is constructed for their identification and analysis such that its complexity does not increase excessively with increasing order of nonlinearity. A continuous and stable nonlinear receiver-amplifier with finite inertia is described by a finite sum of a Volterra series characterizing the response to a bounded input signal. Identification with either a real signal or a special test signal uses a double-trace memory oscilloscope or a stroboscopic unit. Multidimensional pulse response characteristics of a device are plotted in parametric form, most convenient for scanning and analysis. Analytical multiple integration becomes feasible after reduction of the number of unknown parameters. An analytical general expression was derived for the output signal from nonlinear inertial devices with weak oscillatory properties and input signal or arbitrary form. The results of identification and analysis are used for solving the model optimization problem, typically with respect to the mean-square error, including search for its global minimum by such methods as modified random search or complete sorting.