Identification of Nonparametric Nonlinear Systems

Nonparametric Identification of Nonlinear Oscillating Systems

The problem of system identification from a time series of measurements is solved by using nonparametric additive models. Having only few structural information about the system, a nonparametric approach may be more appropriate than a parametric one for which detailed prior knowledge is needed. Based on nonparametric regression, the functions in the additive models are estimated by a penalized ...

Nonparametric Identification of the Nonlinear Element in Wiener Systems

We are considering the problem of identifying Wiener systems that includes memoryless nonlinearities. The focus is made on the determination of the system nonlinearity which is not necessarily invertible, smooth or parametric. To this end, a frequency approach is developed, that investigates the system output extrema. In the case where the nonlinearity is strictly monotonic, a simple experiment...

A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification

This paper presents an original method that can be used for identifying time-varying nonlinear damping characteristics of a nonlinear oscillation system. The method developed involves the nonparametric identification, in which only the system responses, namely, displacement and velocity need to be known for the identification. However, themethod is concernedwith a Volterratype integral equation...

Identification of Nonlinear Systems

On the Nonparametric Identification of Nonlinear Simultaneous Equations

This note revisits the identification theorems of B. Brown (1983) and Roehrig (1988). We describe an error in the proofs of the main identification theorems in these papers, and provide an important counterexample to the theorems on the identification of the reduced form. Specifically, contrary to the theorems, the reduced form of a nonseparable simultaneous equations model is not identified ev...