A#19 - Assignment#18 – Solutions – p.1 ECSE-2410...

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Unformatted text preview: Assignment #18 – Solutions – p.1 ECSE-2410 Signals & Systems - Fall 2006 Fri 11/17/06 1(15). The root locus below is for a system with the closed-loop transfer function G(s) K + 1 G(s) K = X(s) Y(s) . The breakaway point is = b σ-4.44. Note: All the poles of G ( s ) have real and imaginary parts that are integers (no complicated fractions or decimals!). -5-4.5-4-3.5-3-2.5-2-1.5-1-0.5-15-10-5 5 10 15 Root Locus Real Axis Imaginary Axis a.) (8) Find the gain K so that one of the closed-loop poles is at . 2- = s 1 b.) (2) Find the other two poles. c.) (5) Find the range on K that will make the closed-loop system overdamped. Assignment #18 – Solutions – p.2 ECSE-2410 Signals & Systems - Fall 2006 Fri 11/17/06 2(10). The root locus below is for a system with the closed-loop transfer function G(s) K + 1 G(s) K = X(s) Y(s) . Find K as the root locus crosses the ω j axis. Note: All the poles of G ( s ) have real and imaginary parts that are integers (no complicated fractions or decimals!). are integers (no complicated fractions or decimals!...
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This homework help was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.

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A#19 - Assignment#18 – Solutions – p.1 ECSE-2410...

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