Assignment #22 – p.1 ECSE-2410 Signals & Systems - Spring 2009 Due Tue 04/21/09 1(20). Find the closed loop system transfer function,)()(sXsY, expressed in terms of transfer functions . )(),(),(),(sDsCsBsA2(45). In each case, sketch the root locus plots (K>0) for the following open loop transfer functions for unity feedback systems. Find the following, if they exist. Breakaway points and points of re-entry. Direction of travel of the roots as Kvaries from 0 to infinity. All asymptotes, asymptote angles and asymptote locations (centroids). Any jω-axis crossings. (a) 21)(sssG+=(b) )1(1)(2++=ssssG(c) 32)1()(sssG+=3(15). The proportional-plus-integtral (PI) controller shown is used to improve the steady-state error
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