Optimum Perturbation Signal that Makes Nonlinear Systems Approach to Linear Systems

Abstract

It is usually desired to linearize the characteristics of a nonlinear system. One of methods applied for linearizing the nonlinear system characteristics is to inject a perturbation signal on to the input signal. Physical systems generally have built-in low pass filters and hence they filter the injected signals and yield averaged outputs. The relation between the input signal and the average output signal depends on the shape and amplitude of the perturbation signal. The wave shape and amplitude of the perturbation signal which makes the nonlinear characteristics approach to linear characteristics best have teen searched. Using a suitable polynomial to approximate a nonlinear characteristics and using the first few terms of the Fourier Series of the perturbation signal yielded some analytical results. This method is superior to the methods that use total numerical simulation.