Identification via Fourier series for a class of lumped and distributed parameter systems

The operational matrix of integration and a one-shot operational matrix for repeated integration (OSOMRI) are used to estimate the parameters and the initial and boundary conditions of linear, time-invariant, lumped-parameter systems. It is demonstrated that OSOMRI provides better accuracy than the conventional operational matrix of integration. An algorithm for distributed-parameter system identification using Fourier series is included. A comparative study of the estimates obtained by the proposed method for both types of system with those in the literature obtained by other methods is carried out