# ELE 302 Lecture Notes - Lecture 19: Step Response

## Document Summary

The system transfer function can be written as: 25 s 1 j5. 9161 s 1 j5. 9161 s. The magnitude of the real pole is 25 while the real part of the complex pair is 1. This is a fa(cid:272)tor of (cid:1006)(cid:1009), a(cid:374)d therefore the effe(cid:272)t of the real pole at . A standard 2nd order model can be adopted to describe the system: 2 n nn model parameters and n will be taken from the location of dominant poles: Care has to be taken to make sure that the 2nd order model has the same. Dc gain as the original 3rd order closed loop system, which was 0. 8: The plot on the next page shows a step response of the original 3 rd order nd system and of its 2 faster third order s(cid:455)ste(cid:373) has (cid:373)ore da(cid:373)pi(cid:374)g, (cid:272)o(cid:374)tri(cid:271)uted (cid:271)(cid:455) its third, order model. The model response is ever so slightly real, pole.