compensator21 - The asymptote real–axis intercept is The...

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Compensators Q UESTION 21 For the closed–loop system in Figure 21 with and , complete the following: a. For z lag = 2 and p lag = 1, sketch the Root Locus Diagram. Qualitatively describe the closed–loop system stability and transient characteristics for 0 < K < ∞. b. Determine if a lag 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 21 There is m = 1 finite open–loop zero located at – z lag There are n = 3 finite open–loop poles located at 0, 0, and – p lag There are n = 3 branches and n m = 2 branches go to infinity The Root Locus Diagram is on the real axis at 0 and from –1 to –2
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Unformatted text preview: 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 The Routh table is . Since z lag > p lag , there are two sign changes in the first column and, thus, there are two poles in the right half plane for all values of K and the closed–loop system will always be unstable. The Root Locus Diagram is given below. Compensators-2.5-2-1.5-1-0.5 0.5-8-6-4-2 2 4 6 8 Real Axis Imaginary Axis...
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compensator21 - The asymptote real–axis intercept is The...

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