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
Posted: Tue Jun 07, 2022 10:58 am
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. =