compensator18

compensator18 - Compensators QUESTION 18 For the closedloop...

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Compensators Q UESTION 18 For the closed–loop system in Figure 18 with and , complete the following: a. Sketch the Root Locus Diagram. Qualitatively describe the closed–loop system stability and transient characteristics for 0 < K < ∞. b. For K = 5 and r ( t ) = 5, calculate the steady–state error. c. For K = 5 and r ( t ) = 5, simulate the closed–loop system and plot y ( t ), e ( t ), and u ( t ). d. Graphically determine the percent overshoot and 2% settling time. Turn in your Matlab code. G(s) KG C (s) U(s) R(s) + - Y(s) E(s) Figure 18 There are m = 3 finite open–loop zeros located at –5 and There are n = 3 finite open–loop poles located at 0, –2, and –6 There are n = 3 branches and n m = 0 branches go to infinity The Root Locus is on the real axis from 0 to –2 and –5 to –6 The closed–loop characteristic equation is Substituting s = into the closed–loop characteristic equation and rearranging Setting the real and imaginary parts equal to zero and solving simultaneously, 680

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compensator18 - Compensators QUESTION 18 For the closedloop...

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