Application of Gradient Search Procedures for the Identification of Unknown System Parameters From System Response Observations

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Abstract
Techniques for identifying and evaluating the physical parameters of nonlinear dynamic systems have been investigated A method has been developed for converting the measured dynamic response of a system into estimates of its unknown dissipation function. A computational algorithm employing an optimization or gradient search technique was written for determining the unknown system parameters. This procedure uses a least squares criterion function to determine the measure of agreement between the mathematical representation of the system and the physical system. A rather general statement of the nonlinear equation of motion allows a better final determination of the system than that provided by some fixed-form describing function. The technique is especially adaptable to the identification problem of determining the dissipation function of a nonlinear shock absorber.

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