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.