The document discusses methods to determine the transfer function from state space representation, focusing on two approaches: a direct formula and MATLAB software. It provides a breakdown of the mathematical framework involved in the first method, including the necessary matrices, and outlines the steps to implement the second method using MATLAB's `ss2tf` function. Examples and script snippets are included to illustrate the process and expected outputs.

1. Shri Ramdeobaba College of Engineering & Management
(An Autonomous Institute under UGC Act)
Department of Electrical Engineering
Topic : DIFFERENT METHODS TO FIND TRANSFER FUNCTION FROM
STATE SPACE REPRESENTATION
Subject :CONTROL SYSTEM
Presented By-
Name : Sheikh Mohammad Sajid
Roll No. : 07
Specialization : Master of Technology
Branch : Power Electronics & Power Systems
Year / Semester : Ist / 2nd

2. To Find Transfer Function From State
Space Representation
Suppose Example –
dx/dt= -1 -4 -1 0
-1 -6 -2 x + 1 u
-1 -2 -3 1
y= 1 1 1 x
We solve these problem by two method by direct formula
and second one with the help of Matlab Software.

3. 1st Method Direct Formula
As we know the formula to find TF from state space
TF=C[SI-A] B+D
Where A ,B,C,D ARE THE MATRIX get from the state space
We have to take care of order of matrix while solving
-1

5. 2nd method using MATLAB Software
Open Matlab Open Script Write the
Matlab Program as follows.
As we now the values of A,B,C,D

6. • A=[-1 -4 -1;-1 -6 -2;-1 -2 -3];
• B=[0;1;1];
• C=[1 1 1]
• D=[0]
• [n,d]=ss2tf(A,B,C,D)
Note-ss2tf function is used to
fin Transfer Function
Click on RUN and ADVANCE

7. Get the result in Command window
n =
0 2.0000 2.0000 -3.0000
d =
1.0000 10.0000 18.0000 6.0000