Parametric Methods of Analysing Linear and Nonlinear Systems

摘要

Parameter estimation methods for linear systems used in control theory are introduced, and the advantages of an approach based on the NARMAX model are reviewed. In the parametric approach, because the method is based on estimating a NARMAX model, it is not input dependent, works for sensible record lengths, and often results in a small parameter set. The evolution of the linearized spectra can be computed. The frequency response functions can be decomposed to show the contribution of, e.g., harmonics. Once identified, the system can be simulated in the time or frequency domain to show the response to any input.