# A#23 - Assignment#23 p.1 ECSE-2410 Signals Systems Spring...

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Assignment #23 – p.1 ECSE-2410 Signals & Systems - Spring 2009 Due Fri 04/24/09 1(10). The root locus shown represents 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!). (a) (5) Find the gain K so that one of the closed-loop poles is at . 2 1 = s (b) (2) Find the other two poles. c.) (3) Find the range of K that will make the closed-loop system overdamped. -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 -15 -10 -5 0 5 10 15 Root Locus Real Axis Imaginary Axis 2(10). The root locus below represents 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!).

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A#23 - Assignment#23 p.1 ECSE-2410 Signals Systems Spring...

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