Question: 1. a) Gg= b) Ga = 2. Find the Closed Loop Transfer Function (with unity feedback, and control TF Ge(s)= 1) when the plant Transfer

1. a) Gg= b) Ga = 2. Find the Closed Loop Transfer Function (with unity feedback, and control TF Ge(s)= 1) when the plant Transfer Function is: S74 541 (5+ 1)(S7 + $+1) In each case find the CL pole and zero location and plot the pole-zero map using Matlab. . Using the final value theorem find the steady state value of the CL response for a unit step and ramp input . Using Matlab and Simulink crosscheck your previous answer Use the formulae to calculate overshoot, MP, time to peak, TP, settling time: to within 5%, ts5%, and confirm these findings using your Matlab. . For each closed loop system, A, B double the gain GC(s) and assess the response to a unit step input for each system using Matlab and Simulink. . Using Matlab plot the pole-zero map of the CLTF and crosscheck this with your findings in 6. . Repeat 6 and 7 for another doubling in gain, which systems can be forced into i : Find the gain for which the 3rd order system is marginally stable

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