P10.29 A liquid-level control system has a loop transfer function

L(s) = Ge(s)G(s), where Ge(s) is a compensator, and the plant is G(s)= 10e-sT s (s +10)' where T = 50 ms. Design a compensator so that Mpw does not exceed 3.5 dB and w, is approxi- mately 1.4 rad/s. Predict the percent overshoot and settling time (with a 2% criterion) of the compen- sated system when the input is a step. Plot the actual response.