A method for improving the efficacy of the polyharmonic technique for computing frequency response of non-linear dynamic objects and control systems

The paper discusses new polyharmonic techniques for computing amplitude-phase -frequency characteristics of non-linear dynamic objects and control systems within a specified computational error and a minimal amount of time. It examines performance of these new polyharmonic techniques. It demonstrates that the use of a combined polyharmonic technique, which simultaneously analyzes sufficiency of the Fourier coefficients consistency for harmonics under study and sufficiency of consistency of their mean values normalized to harmonic number, significantly reduces computational time needed to calculate the frequency characteristics of the first harmonic of non-linear dynamic objects. The newly developed combined polyharmonic technique can be used in the frequency response analysis code for non-linear dynamic objects, controllers and servo-loop control systems, as well as for their spectral analysis and parameter identification. The technique may also find use in development of new frequency response analyzers and spectrum analyzers.