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# lec10 - Galen King Purdue University Root Locus Sketch Im s...

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Another Root Locus Example Add a pole at s = - 2 to the previous example: K GH(s) s(s 1)(s 2) = + + Slide 1 ME 475 Session 10: Root Locus Sketching Galen King Purdue University

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Root Locus Sketch Im s j2 j1 Slide 2 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Re s - j2 - j1 - 1 - 2 - 3
Imaginary Axis Crossings Two methods: Set s = j ϖ in characteristic eq . : Slide 3 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Use Routh-Hurwitz:

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Another Root Locus Example ) 32 s 8 s )( 4 s ( s K 128 ) s ( GH 2 p + + + = Slide 4 ME 475 Session 10: Root Locus Sketching Galen King Purdue University
Find Breakaway Point 2 K(s) s(s 4)(s 8s 32) = - + + + Slide 5 ME 475 Session 10: Root Locus Sketching

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Unformatted text preview: Galen King Purdue University Root Locus Sketch Im s j4 j3 j2 Slide 6 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Re s j1-j4-j3-j2-j1-1-2-3-4-5-6 Angles of Departure ( from complex open-loop poles ) Pick a test point close to one of the poles. Apply the angle criterion: Im s Slide 7 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Re s s-j4 j4-4 Find Imaginary Axis Crossings char. eq. 2 s(s 4)(s 8s 32) K + + + + = Slide 8 ME 475 Session 10: Root Locus Sketching Galen King Purdue University...
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lec10 - Galen King Purdue University Root Locus Sketch Im s...

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