Compensator3 - Compensators QUESTION 3 For the closedloop system in Figure 3 with and complete the following a Sketch the Root Locus Diagram

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Compensators Q UESTION 3 For the closed–loop system in Figure 3 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. 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 3 There is m = 1 finite open–loop zero at –1 There are n = 3 finite open–loop poles located at –0.1 and There are n = 3 branches and n m = 2 branches go to infinity The Root Locus is on the real axis between –0.1 and –1 The asymptote real–axis intercept is The asymptote angles are
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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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Compensator3 - Compensators QUESTION 3 For the closedloop system in Figure 3 with and complete the following a Sketch the Root Locus Diagram

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