K(5+3) 1. Consider the unity feedback system with G(5) s' (?+ 30s +625) Find (a) The behavior of the asymptotes, includi

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K 5 3 1 Consider The Unity Feedback System With G 5 S 30s 625 Find A The Behavior Of The Asymptotes Includi 1 (37.83 KiB) Viewed 50 times

K(5+3) 1. Consider the unity feedback system with G(5) s' (?+ 30s +625) Find (a) The behavior of the asymptotes, including their intersection and angles. (4%) 6) Write the equation to be solved to find the break-in/break-away points on the real axis (as a polynomial of o, but do not solve: only 1 real solution exists: -6.95). (4%) (c) Find the departure angles at the complex poles. (5%) (d) Find the jo axis crossing when K>0. specify the crossing points and the values of K (if any). (5%) (e) What is the gain margin of this system? (4%) (t) Sketch the root locus. (5%) (g) Using graphical method; design K such that the dominant closed loop poles have the damping ratio equal to 0.5. (5%) Ans: (a) =9,0=1, 1/3.-113 (6) [3 72 895 3750] (C) -42 deg (d) K=16050, 6=23(e) 16050 is about 84 dB (1) see MATLAB curve (g) K is about 2000, if the calculation is right.