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compensator1

# compensator1 - Compensators QUESTION 1 For the closedloop...

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Compensators Q UESTION 1 For the closed–loop system in Figure 1 with ( 29 1 = s G C and ( 29 2 5 4 5 G s s s = + + , complete the following: a. Sketch the Root Locus Diagram. Qualitatively describe the closed–loop system stability and transient characteristics for 0 < K < ∞. b. Calculate K such that the steady–state error for a unit step input is 0.15. c. For the value of K calculated in part b, simulate the closed–loop system for r ( t ) = 1 and plot y ( t ), e ( t ), and u ( t ). d. For the value of K calculated in part b, calculate the closed–loop pole locations. For each complex conjugate pair, determine its natural frequency and damping ratio. For each real pole, determine its time constant. Turn in your Matlab code. G(s) KG C (s) U(s) R(s) + - Y(s) E(s) Figure 1 There are m = 0 finite open–loop zeros There are n = 2 finite open–loop poles located at 2 j - ± There are n = 2 branches and n m = 2 branches go to infinity The Root Locus is not on the real axis The asymptote real–axis intercept is [ ] [ ] 2 2 0 2 a j j n m σ - + - - - = = - -

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Compensators
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compensator1 - Compensators QUESTION 1 For the closedloop...

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