Significance of pole, zero, delay and integrator in process modelling of system

Cho, Jo Vin (2022) Significance of pole, zero, delay and integrator in process modelling of system. Project Report. Universiti Teknikal Malaysia Melaka, Melaka, Malaysia. (Submitted)

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Abstract

System identification is an approach of constructing mathematical model of a dynamical system using the instrumentation signal of input and output of the system. Among the choices of model in system identification is process model. Within the model, the presence of pole, zero, delay, and integrator may easily be incorporated. This project investigates the significance of these components in the transfer function of process model by analysing the result of process model estimation of 3 simulated systems to grasp a better understanding of their respective influence before moving on into analysis of process model result of a real industrial data of air compression system. The proposed methodology of this project involves the data import and pre-processing until the end of simulation and validation stages. The outcome of the simulation would undergo analysis and discussion to determine the significance of pole, zero, delay, and integrator in systems based on simulated and real industrial data. As results, the order of a system is indirectly reflected by the number of poles within a model, while zero affects the stability and step response of a system. Significance of delay is dependent on the nature of the system whereby a time lag exhibits to reach an optimum operating level. Lastly, integrator contributes in trend prediction of a system by restricting the range of model estimation from going out of track.

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