摘要:In this paper, we consider the identification of Hammerstein systems where the nonlinearity is described by a combination of basis functions with unknown coefficients. The extended least squares (ELS) algorithm is applied to estimate the unknown parameters in the system. Contrary to the classical excitation signals for identification of Hammerstein systems, i.e., the periodic inputs or stationary random signals, here we choose a sequence of diminishing excitation signals as the system inputs. We prove that the strong consistency of the ELS algorithm still holds true and the convergence rate is obtained as well. A numerical example is given to verify the performance of the identification method.