Lab Title: Sketch Root Locus Plots in MATLAB Course: 90(A) EC Group No: 02 Group Members: A/C Muhammad Usman (17090020) N/C Zain Ul Abidin (172105) Maryam (17090012) Prepared by: A/C MUHAMMAD USMAN Submitted to: S/L Abdul Samad Date Submitted: 11 February 2020 TASK No 1: Given a unity feedback system that has the forward transfer function 𝐺 𝑠 = 𝐾(𝑠+2) / (𝑠^2−4𝑠+13) do the following: (a) Sketch the root locus. (b) Find the imaginary-axis crossing. (c) Find the gain, K, at the jω-axis crossing. (d) Find the break-in point. (e) Find the angle of departure from the complex poles. Solution s = tf('s') G = tf([1 2],[1 -4 13]) RLocusGui(G) s= s Continuous-time transfer function. G= s+2 -------------s^2 - 4 s + 13 Xfer Function Info Completed Root Locus Cross Imag. Axis Changing K Changes Closed Loop Poles Angle of Departure Break-Out and In Points on Real Axis TASK No 2 Given the unity feedback system of Figure below, find the angle of departure from the complex poles and sketch the root locus. Also, do the following: (a) Find the imaginary-axis crossing. (b) Find the gain, K, at the jω-axis crossing. (c) Find the break-in point. SOLUTION Completed Root Locus Angle of Departure Choose Pole Location and Find K Break-Out and In Points on Real Axis Locus does not cross imaginary axis.