filled10 - Purdue University Find Breakaway Point 2 K(s)...

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ME 475 Handouts - Spring 2011 1 Slide 1 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Another Root Locus Example Add a pole at s = - 2 to the previous example: K GH(s) s(s 1)(s 2) = + + Slide 2 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Root Locus Sketch Im s Re s j2 j1 - j2 - j1 - 1 - 2 - 3
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ME 475 Handouts - Spring 2011 2 Slide 3 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Imaginary Axis Crossings Two methods: Set s = j ϖ in characteristic eq . : Use Routh-Hurwitz: Slide 4 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Another Root Locus Example ) 32 s 8 s )( 4 s ( s K 128 ) s ( GH 2 p + + + =
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ME 475 Handouts - Spring 2011 3 Slide 5 ME 475 Session 10: Root Locus Sketching Galen King
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Unformatted text preview: Purdue University Find Breakaway Point 2 K(s) s(s 4)(s 8s 32) = -+ + + Slide 6 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Root Locus Sketch Im s Re s j4 j3 j2 j1-j4-j3-j2-j1-1-2-3-4-5-6 ME 475 Handouts - Spring 2011 4 Slide 7 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Angles of Departure ( from complex open-loop poles ) Pick a test point close to one of the poles. Apply the angle criterion: Re s Im s s-j4 j4-4 Slide 8 ME 475 Session 10: Root Locus Sketching Galen King Purdue University Find Imaginary Axis Crossings char. eq. 2 s(s 4)(s 8s 32) K + + + + =...
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filled10 - Purdue University Find Breakaway Point 2 K(s)...

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