Take the same open loop transfer function as in exercise 8.2 H (s) (0.5s+1)(0.2s+1) (82-4s+13)(s+1) 1. Have MATLAB draw

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Take The Same Open Loop Transfer Function As In Exercise 8 2 H S 0 5s 1 0 2s 1 82 4s 13 S 1 1 Have Matlab Draw 1 (46.14 KiB) Viewed 25 times

for 4) Proportional controller in feedforward path: H(s) =
K∗H(s) / ( 1+K∗H(s) )
Proportional controller in feedback path: H(s) = H(s) /
(1+K∗H(s) )
Take the same open loop transfer function as in exercise 8.2 H (s) (0.5s+1)(0.2s+1) (82-4s+13)(s+1) 1. Have MATLAB draw a root locus plot. 2. Use the root locus plot to find a gain value (K) that limits the over- shoot of the step response to just under 10%. 3. Find the other step parameters (settling time, rise time, peak time, steady state error) when the overshoot is 10%. 4. Give a range of gain values that make this system unstable. Prove this instability for one of these values using the closed loop transfer function you calculated in subquestion 4 of exercise 8.2. =