Parameter estimation of linear and nonlinear systems based on orthogonal series

A frequency domain based methodology using orthogonal series for estimation Linear systems and nonlinear systems is presented. The method can be used in the parameter identification of linear and nonlinear systems. The main advantage of using orthogonal functions is that integro-differentials equations are transformed into algebraic equations, this facilitates the identification process. The method presented in this paper was proved satisfactory to estimate parameters in two applications: An antenna azimuth position control system and a single phase transformer.