Question: will upvote good solution, thanks 20. Assume for the unity-feedback system shown in Figure P8.3, that K (s2 28 + 2) G G(8) = (8

will upvote good solution, thanks

20. Assume for the unity-feedback system shown in Figure P8.3, that K (s2 28 + 2) G G(8) = (8 + 1)(8 + 3)(8 + 4) (s +5) Then do the following: (Section: 8.7] a. Make a sketch of the root locus. b. Calculate the asymptotes. c. Find the range of K for which the system is closed-loop stable. d. Caculate the breakaway points. e. Obtain the value of K that results in a step response with 20% overshoot. f. Obtain the locations of all closed-loop poles when the system has 20% over shoot. g. Discuss the validity of a second-order approximation for the given overshoot specification. h. Use MATLAB to verify or reject a second-order approximation for the closed- loop step response with the given percent overshoot. MATLAB ML

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