compensator20 - n – m = 2 branches go to infinity The...

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Compensators Q UESTION 20 For the closed–loop system in Figure 20 with and , complete the following: a. For z = 1, sketch the Root Locus Diagram. Qualitatively describe the closed–loop system stability and transient characteristics for 0 < K < ∞. b. Determine if a PI compensator can be used to stabilize this dynamic system. Turn in your Matlab code. G(s) KG C (s) U(s) R(s) + - Y(s) E(s) Figure 20 There is m = 1 finite open–loop zero located at – z There are n = 3 finite open–loop poles located at 0, 0, and 0 There are n = 3 branches and
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Unformatted text preview: n – m = 2 branches go to infinity The Root Locus is on the real axis from 0 to –1 The asymptote real–axis intercept is . The asymptote angles are There are n – m = 2 distinct asymptotes with angles . The closed–loop characteristic equation is Since there is a missing power of s for all K , the closed –loop system will never be stable for any value of K . The Root Locus Diagram is given below. Compensators-1-0.5 0.5-8-6-4-2 2 4 6 8 Real Axis Imaginary Axis...
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This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.

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compensator20 - n – m = 2 branches go to infinity The...

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