Identification of First-Order Time-Delay Systems using Two Different Pulse Inputs

Robust identification of continuous-time low-order models using moments of a single rectangular pulse response

“…The proposed method is compared with other methods using extremal data points reported in [20] and [8]. For a fair comparison, the finite-duration pulse inputs with the same total energy are used.…”

“…It is seen that the two response times, t r1 and t r2 , of the process are 4.4 and 5.5, respectively. An input pulse with A = 1, D = 5, = 1.2, and = 0.7D is chosen, where and denote the multiplier and separation time between two rectangular pulses, specifying a double rectangular pulse in [8]. The data length and the step size interval are N = 30,000 and t = 0.001[s].…”

“…Different methods based on finiteduration pulse responses have also been developed [5][6][7][8]. An advantage of pulse testing is that the process input and output return to their original values after the perturbation.…”

A Simple Identification Technique for Second-Order plus Time-Delay Systems

“…Simple time-domain excitations are the step (the most common simple excitation), the rectangular pulse and its variants, the double rectangular pulse and the doublet pulse (Åström and Hägglund (2006) and de la Barra et al (2008)).…”

“…In both methods, simple time-domain excitations are used to set up identification experiments which disturb process operation as little as possible. More recently, in de la Barra et al (2008) finite-duration pulses inputs were used to identify FOPTD systems. Exact analytical expressions for the Gain K, Time Constant T and Time-Delay L were obtained from knowledge of two relative extrema in the transient pulse response.…”