i. ii. iii. Find the transfer function for the system with the unit step response shown in Figure 1. [40] Plot the location in the s-plane of the transfer function poles

found in part i indicating angles where neccesary. [20] Determine whether the system described by the forward path transfer function G(s) and feedback path H(s) is stable. [Total 100] Amplitude 0.9 0.8- 0.7- 0.6 0.5 0.4- 0.3- 0.2- 0.1- 0 G(s) = = 30(s + 0.5) (s + 2) (s² - 0.36s +0.16)' 0.5 Step Response 1.5 Time (seconds) 2 H(s) = Figure 1: Rover position system. S+2 S + 10 2.5 [40]