Figure Q2 (a) Figure Q2 shows the root locus diagram of a system. From the figure, calculate the open-loop transfer function of the system. One extra piece of information you require is that if the open-loop system is subjected to a sudden (step) change in input, then the output settles down at 2.5 times the input step size. (b) If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q2 for this, use a sketch to show how you obtained the values from the plot. Figure Q2 (a) Figure Q2 shows the root locus diagram of a system. From the figure, calculate the open-loop transfer function of the system. One extra piece of information you require is that if the open-loop system is subjected to a sudden (step) change in input, then the output settles down at 2.5 times the input step size. (b) If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q2 for this, use a sketch to show how you obtained the values from the plot