Piecewise linear approximation of sinusoidal inputs for process identification

A new approach for simultaneous estimation of parameters and the time delay of continuous time transfer function models using piecewise linear input excitations is presented. A sinusoidal input can be approximated as a piecewise linear signal. Approximation equation for sinusoids has been provided and estimation equation for first order transfer functions has been derived which can be generalized for higher order models. Simulation results are presented to demonstrate the efficacy of the method. Identification results of a simulated jacketed reactor are presented to demonstrate the applicability of the proposed algorithm.