A control system with unity negative feedback as shown in Figure Q3. i. Determine the open loop poles and zeros of the system. ii. Find the point which the asymptotes cross the real axis and provide calculations for the asymptote angles. iii. Find the breakaway point and angle of departure. iv. Determine the crossing points of the loci with the imaginary axis and what is the gain at those points. v. Plot the root locus diagram for the system on a linear graph paper

i. A control system with unity negative feedback as shown in Figure Q3. Determine the open loop poles and zeros of the system. ii. Find the point which the asymptotes cross the real axis and provide calculations for the asymptote angles. iii. Find the breakaway point and angle of departure. iv. Determine the crossing points of the loci with the imaginary axis and what is the gain K at those points. Plot the root locus diagram for the system on a linear graph paper, (15 marks) V. + K s(s+ + 4s + 5) Figure Q3 i. A control system with unity negative feedback as shown in Figure Q3. Determine the open loop poles and zeros of the system. ii. Find the point which the asymptotes cross the real axis and provide calculations for the asymptote angles. iii. Find the breakaway point and angle of departure. iv. Determine the crossing points of the loci with the imaginary axis and what is the gain K at those points. Plot the root locus diagram for the system on a linear graph paper, (15 marks) V. + K s(s+ + 4s + 5) Figure Q3